Geometry Theorems and Problems - Recent Additions (Page
7 of 15)
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![Euclidean Geometry](euclidean_geometry_17.jpg) |
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![Circular Segment Index](../math_geometry_online_courses/circular_segment_index_1.jpg) |
Circular Segment. Index.
Theorems and Problems.
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![Geometry Problem 988](../school-college/p988-right-triangle-cevian-30-degrees-triple-angle-1.jpg) |
Geometry Problem 988.
Right Triangle, Cevians, Angles, 30 Degrees, Triple Angle. |
![Geometry Problem 987](../school-college/p987-triangle-circumcircle-incenter-parallel-circle-tangent-animation-ipad-1.jpg) |
Geometry Problem 987.
Triangle, Circumcircle, Incenter, Chord, Parallel, Circle, Tangent. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
![Geometry Problem 986](../school-college/p986-triangle-median-45-degrees-angle-1.jpg) |
Geometry Problem 986.
Triangle, Median, Midpoint, Equal Angles, 45 Degrees. |
![Geometry Problem 985](../school-college/p985-circle-radius-perpendicular-congruence-concentric-1.jpg) |
Geometry Problem 985.
Circle, Radius, Perpendicular, Concentric Circles, Congruence, Triangle. |
![Geometry Problem 984](../school-college/p984-triangle-circumcircle-altitude-midpoint-collinear-1.jpg) |
Geometry Problem 984.
Triangle, Circumcircle, Altitudes, Midpoint, Collinear Points. |
![Geometry Problem 983](../school-college/p983-regular-hexagon-point-triangle-area-1.jpg) |
Geometry Problem 983.
Regular Hexagon, A point and six triangles, Areas. |
![Geometry Problem 982](../school-college/p982-triangle-excenter-circumcenter-hexagon-area-1.jpg) |
Geometry Problem 982.
Triangle, Excenters, Excentral Triangle, Circumcenter, Area, Hexagon. |
![Geometry Problem 981](../school-college/p981-triangle-cevian-concurrent-midpoint-hexagon-area-1.jpg) |
Geometry Problem 981.
Triangle, Concurrent Cevians, Midpoints, Area, Hexagon. |
![Geometry problems 971-980](../math_geometry_online_courses/geometry_problems_971_980_1.jpg) |
Geometry Problems
971 - 980.
Equilateral Triangle, Rectangle, Circle, Parallel, Reflection, Concurrency, Paallelogram, Orthocenter, Circumcenter. |
![Geometry Problem 980](../school-college/p980-equilateral-triangle-three-parallel-vertices-construction-1.jpg) |
Geometry Problem 980.
Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Construction. |
![Geometry Problem 979](../school-college/p979-triangle-cevian-concurrency-angle-bisector-90-degrees-1.jpg) |
Geometry Problem 979.
Triangle, Cevian, Angle Bisector, Concurrency, 90 Degrees, Perpendicular. |
![Geometry Problem 978](../school-college/p978-parallelogram-diagonal-transversal-similarity-metric-relations-1.jpg) |
Geometry Problem 978.
Parallelogram, Diagonal, Transversal, Similarity, Metric Relations. |
![Geometry Problem 977](../school-college/p977-acute-triangle-circumcenter-orthocenter-distance-circumradius-metric-relations-1.jpg) |
Geometry Problem 977.
Acute Triangle, Circumcenter, Orthocenter, Distance, Circumradius, Altitude, Metric Relations. |
![Geometry Problem 976](../school-college/p976-isosceles-right-triangle-incenter-45-degrees-hypotenuse-1.jpg) |
Geometry Problem 976.
Isosceles Right Triangle, 45 Degrees, Incenter, Angle Bisector, Hypotenuse. |
![Geometry Problem 975](../school-college/p975-isosceles-right-triangle-angle-bisector-45-degrees-hypotenuse-1.jpg) |
Geometry Problem 975.
Isosceles Right Triangle, 45 Degrees, Angle Bisector, Hypotenuse. |
![Geometry Problem 974](../school-college/p974-cevian-triangle-reflection-concurrency-begonia-theorem-point-geogebra-1.jpg) |
Geometry Problem 974.
'Begonia Theorem', Cevian Triangle, Reflection of a point in a line, Concurrency of Lines. GeoGebra, HTML5 Animation for Tablets. |
![Geometry Problem 973](../school-college/p973-square-three-parallel-vertices-metric-relations-1.jpg) |
Geometry Problem 973.
Three Parallel, Square, Vertices, Distance Between Two Parallel Lines, Side, Metric Relations. |
![Geometry Problem 972](../school-college/p972-equilateral-triangle-three-parallel-vertices-1.jpg) |
Geometry Problem 972.
Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Perpendicular Bisector. |
![Geometry Problem 971](../school-college/p971-equilateral-triangle-rectangle-common-vertex-sum-areas-1.jpg) |
Geometry Problem 971.
Equilateral Triangle, Rectangle, Common Vertex, Sum of Right Triangles Areas. |
![Geometry Problem 970](../school-college/p970-equilateral-triangle-circumcircle-secant-metric-relations-1.jpg) |
Geometry Problem 970.
Equilateral Triangle, Circumcircle, Secant, Metric Relations. |
![Geometry Problem 969](../school-college/p969-equilateral-triangle-rectangle-common-vertex-sum-areas-1.jpg) |
Geometry Problem 969.
Equilateral Triangle, Rectangle, Common Vertex, Right Triangles Areas. |
![Geometry Problem 968](../school-college/p968-equilateral-triangle-rectangle-common-vertex-midpoint-1.jpg) |
Geometry Problem 968.
Equilateral Triangle, Rectangle, Common Vertex, Midpoint. |
![Geometry Problem 967](../school-college/p967-three-equilateral-triangle-midpoint-animation-1.jpg) |
Geometry Problem 967.
Three Equilateral Triangles, Midpoints. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
![Geometry Problem 966](../school-college/p966-triangle-cevian-midpoint-circumcircle-tangent-collinear-points-1.jpg) |
Geometry Problem 966.
Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Collinear Points. |
![Geometry Problem 965](../school-college/p965-triangle-cevian-midpoint-circumcircle-tangent-metric-relations-1.jpg) |
Geometry Problem 965.
Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Metric Relations. |
![Geometry Problem 964](../school-college/p964-right-triangle-10-20-30-degrees-angle-cevian-1.jpg) |
Geometry Problem 964.
Right Triangle, Cevians, Angles, 10, 20, 30 Degrees. |
![Geometry Problem 963](../school-college/p963-right-triangle-30-60-degrees-bisectors-isosceles-cyclic-1.jpg) |
Geometry Problem 963.
Right Triangle, 30-60-90 Degrees, Angle Bisectors, Metric Relations. |
![Geometry Problem 962](../school-college/p962-triangle-area-cevian-equal-products-1.jpg) |
Geometry Problem 962.
Triangle, Two Cevians, Areas, Equal Products. |
![Geometry Problem 961](../school-college/p961-quadrilateral-trisect-side-sum-areas-1.jpg) |
Geometry Problem 961.
Quadrilateral, Trisection, Sides, Sum of Areas. |
![Geometry Problem 960](../school-college/p960-quadrilateral-trisect-side-congruence-similarity-1.jpg) |
Geometry Problem 960.
Quadrilateral, Trisection, Sides, Congruence, Similarity, Triangle. |
![Geometry Problem 959](../school-college/p959-triangle-ratio-side-1-4-inradius-exradius-cevian-geometric-mean-1.jpg) |
Geometry Problem 959.
Triangle, Sides Ratio 4:1, Inradius, Exradius, Cevian, Mean Proportional, Geometric Mean, Metric Relations. |
![Geometry Problem 958](../school-college/p958-isosceles-triangle-perpendicular-45-degrees-bisector-metric-relations-1.jpg) |
Geometry Problem 958.
Isosceles Triangle, Altitude, 45 Degrees, Perpendicular, Angle Bisector, Metric Relations. |
![Geometry Problem 957](../school-college/p957-equilateral-triangle-incircle-circuncircle-circular-segment-area-1.jpg) |
Geometry Problem 957.
Equilateral Triangle, Inscribed Circle, Incircle, Circumscribed Circle, Circumcircle, Area, Circular Segment. |
![Geometry Problem 956](../school-college/p956-two-equilateral-triangle-center-midpoint-30-60-90-degrees-1.jpg) |
Geometry Problem 956.
Two Equilateral Triangles, Center, Collinear Points, Midpoint, Right Triangle, 30, 60, 90 Degrees. |
![Geometry Problem 955](../school-college/p955-quadrilateral-diagonal-angle-30-40-60-70-degrees-1.jpg) |
Geometry Problem 955.
Quadrilateral, Triangle, Diagonals, Triangle, Angles, 30, 40, 60, 70 Degrees. |
![Geometry Problem 954](../school-college/p954-intersecting-circles-secant-angle-bisector-1.jpg) |
Geometry Problem 954.
Intersecting Circles, Secant, Common Chord, Cyclic Quadrilateral, Angle Bisector. |
![Geometry Problem 953](../school-college/p953-intersecting-circles-secant-90-degrees-perpendicular-1.jpg) |
Geometry Problem 953.
Intersecting Circles, Secant, Common Chord, Cyclic Quadrilateral, Perpendicular. |
![Geometry Problem 952](../school-college/p952-triangle-3-equal-circles-tangent-incenter-circumcenter-collinear-1.jpg) |
Geometry Problem 952.
Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points. |
![Geometry Problem 951](../school-college/p951-intersecting-circles-tangent-diameter-parallel-cyclic-quadrilateral-1.jpg) |
Geometry Problem 951.
Intersecting Circles, Chord, Diameter, Parallel, Cyclic Quadrilateral, Concyclic Points. |
![Geometry Problem 950](../school-college/p950-intersecting-circles-secant-circumcenter-concyclic-1.jpg) |
Geometry Problem 950.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. |
![Geometry Problem 949](../school-college/p949-intersecting-circles-secant-cyclic-quadrilateral-concyclic-1.jpg) |
Geometry Problem 949.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. |
![Geometry Problem 948](../school-college/p948-intersecting-circles-secant-cyclic-quadrilateral-concyclic-1.jpg) |
Geometry Problem 948.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. |
![Geometry Problem 947](../school-college/p947-triangle-circumcircle-angle-bisector-chord-parallel-1.jpg) |
Geometry Problem 947.
Triangle, Circumcircle, Angle Bisector, Chord, Arc, Parallel. |
![Geometry Problem 946](../school-college/p946-quadrilateral-diagonal-midpoint-parallel-area-1.jpg) |
Geometry Problem 946.
Triangle, Quadrilateral, Area, Diagonal, Midpoint, Parallel. |
![Geometry problems 891-900](../math_geometry_online_courses/geometry_problems_891_900_1.jpg) |
Geometry Problems
891 - 900.
Triangle, Circle, Parallelogram, Trapezoid, Congruence, Similarity, Metric Relations, Incircle, Rectangle, Square |
![Geometry Problem 945](../school-college/p945-triangle-concurrent-lines-perpendicular-angle-bisector-1.jpg) |
Geometry Problem 945.
Triangle, Concurrent Lines, Cevians, Perpendicular, Angle Bisector. |
![Geometry Problem 944](../school-college/p944-triangle-orthocenter-altitude-perpendicular-parallel-1.jpg) |
Geometry Problem 944.
Triangle, Orthocenter, Altitude, Perpendicular, 90 Degrees, Parallel Lines. |
![Geometry Problem 943](../school-college/p943-triangle-incircle-parallel-tangency-point-1.jpg) |
Geometry Problem 943.
Triangle, Incircle, Inscribed Circle, Tangency Points, Parallel, Metric Relations. |
![Geometry Problem 942](../school-college/p942-triangle-circumcircle-sagitta-inradius-exradius-1.jpg) |
Geometry Problem 942.
Triangle, Circles, Circumcircle, Sagitta, Incircle, Excircle, Inradius, Exradius, Metric Relations. |
![Problem 941](../school-college/p941-tangent-circle-secant-proportion-equal-angle-1.jpg) |
Geometry Problem 941.
Circles Tangent Externally, Tangent, Secant, Proportion, Angle. |
![Problem 940](../school-college/p940-circle-tangent-secan-parallel-90-degrees-midpoint-1.jpg) |
Geometry Problem 940.
Circle, Tangent, Secant, Chord, Parallel, Perpendicular, 90 Degrees, Midpoint. |
![Problem 939](../school-college/p939-circle-tangent-parallel-secant-midpoint-1.jpg) |
Geometry Problem 939.
Circle, Tangent, Secant, Chord, Parallel, Midpoint. |
![Problem 938](../school-college/p938-cyclic-quadrilateral-circumradius-circumcenter-distance-1.jpg) |
Geometry Problem 938.
Cyclic Quadrilateral, Triangle, Circumcircle, Circles, Circumcenter, Circumradius, Distance, Metric Relations.
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![Problem 937](../school-college/p937-triangle-circle-tangent-circumcircle-midpoint-1.jpg) |
Geometry Problem 937.
Triangle, Circumcircle, Circles, Tangent, Sides, Midpoint.
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![Problem 936](../school-college/p936-semicircle-diameter-circle-tangent-radius-metric-relations-1.jpg) |
Geometry Problem 936.
Circle, Semicircle, Diameter, Tangent, Radius, Chord, Metric Relations.
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![Problem 935](../school-college/p935-equal-incircles-circles-triangle-cevian-1.jpg) |
Geometry Problem 935.
Square, Circle, Center, Perpendicular, Metric Relations.
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![Problem 934](../school-college/p934-square-perpendicular-circle-metric-relations-1.jpg) |
Geometry Problem 934.
Square, Circle, Center, Perpendicular, Metric Relations.
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![Problem 933](../school-college/p933-square-center-perpendicular-metric-relations-1.jpg) |
Geometry Problem 933.
Square, Center, Transversal, Perpendicular, Metric Relations, Congruence.
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![Problem 932](../school-college/p932-square-midpoint-ratio-3-1-angle-congruence-1.jpg) |
Geometry Problem 932.
Square, Midpoint, Diagonal, Ratio 3:1, Angle Measure, Congruence.
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![Problem 931](../school-college/p931-square-semicircle-circle-angle-metric-relation-1.jpg) |
Geometry Problem 931.
Square, Circle, Semicircle, Diameter, Triangle, Angle, Metric Relations.
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![Exeter Point](../center/exeter-point-triangle-centroid-circumcircle-concurrency-euler-html5-1.jpg) |
Dynamic Geometry: Exeter Point Triangle, Median, Circumcircle, Concurrent Lines, Euler Line, GeoGebra, HTML5 Animation for Tablets.
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![Problem 930](../school-college/p930-triangle-altitude-circle-diameter-angle-1.jpg) |
Geometry Problem 930.
Acute Triangle, Altitudes, Circles, Diameter, Angle, Measure.
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![Problem 929](../school-college/p929-triangle-orthocenter-reflection-circumcircle-concurrency-1.jpg) |
Geometry Problem 929.
Triangle, Orthocenter, Circumcircle, Reflection, Concurrency.
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![Problem 928](../school-college/p928-triangle-area-median-cevian-concurrency-1.jpg) |
Geometry Problem 928.
Triangle, Midpoint, Median, Cevian, Concurrency, Area.
|
![Problem 927](../school-college/p927-semicircle-equal-arcs-radius-chord-congruence-1.jpg) |
Geometry Problem 927.
Semicircle, Diameter, Radius, Equal Arcs, Chord, Congruence.
|
![Problem 926](../school-college/p926-equilateral-triangle-midpoint-perpendicular-metric-relation-1.jpg) |
Geometry Problem 926.
Two Equilateral Triangles, Midpoint, Perpendicular, Metric Relations.
|
![Problem 925](../school-college/p925-cyclic-quadrilateral-diagonal-angle-bisector-parallel-1.jpg) |
Geometry Problem 925.
Cyclic Quadrilateral, Diagonal, Circle, Angle Bisector, Parallel.
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![Problem 924](../school-college/p924-quadrilateral-perpendicular-circle-chord-tangent-midpoint-metric-relation-1.jpg) |
Geometry Problem 924.
Quadrilateral, Diagonal, Perpendicular, Circle, Tangent, Midpoint, Metric Relations.
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![Problem 923](../school-college/p923-infographic-quadrilateral-obtuse-inequality-diagonal-1.jpg) |
Geometry Problem 923.
Quadrilateral, Quadrangle, Obtuse Angle, Triangle, Diagonal, Inequality, Length.
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![Problem 922](../school-college/p922-circle-tangent-chord-secant-harmonic-mean-1.jpg) |
Geometry Problem 922.
Circle, Tangent Lines, Tangency Points, Chord, Secant, Harmonic Mean.
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![Problem 921](../school-college/p921-right-triangle-circumcircle-midpoint-incircle-1.jpg) |
Geometry Problem 921.
Right Triangle, Circumcircle, Arc, Midpoint, Tangency Point, Incircle.
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![Problem 920](../school-college/p920-triangle-angle-10-20-30-degrees-1.jpg) |
Geometry Problem 920.
Triangle, Angles, 10, 20 Degrees, Congruence.
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![Problem 919](../school-college/p919-rhombus-perpendicular-parallel-congruence-1.jpg) |
Geometry Problem 919.
Rhombus, Triangle, Perpendicular, 90 Degrees, Congruence.
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![Problem 918](../school-college/p918-infographic-triangle-incenter-perpendicular-metric-relations-1.jpg) |
Geometry Problem 918.
Triangle, Incenter, Incircle, Angle Bisector, Perpendicular, Metric Relations.
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![Problem 917](../school-college/p917-infographic-triangle-congruence-midpoint-perpendicular-angle-bisector-1.jpg) |
Geometry Problem 917.
Triangle, Congruence, Midpoints, Angle Bisector, Perpendicular.
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![Problem 916](../school-college/p916-infographic-cyclic-quadrilateral-diameter-circle-congruence-1.jpg) |
Geometry Problem 916.
Cyclic Quadrilateral, Three Circles, Diameter, Congruence.
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![Problem 915](../school-college/p915-triangle-circle-cyclic-quadrilateral-concyclic-1.jpg) |
Geometry Problem 915.
Triangle, Intersecting Circles, Concyclic Points, Cyclic Quadrilateral.
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![Problem 914](../school-college/p914-triangle-orthocenter-angle-bisector-parallel-midpoint-1.jpg) |
Geometry Problem 914.
Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint.
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![Problem 913](../school-college/p913-right-triangle-double-triple-angle-metric-relation-1.jpg) |
Geometry Problem 913.
Right Triangle, Double Angle, Triple Angle, Metric Relations.
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![Problem 912](../school-college/p912-right-triangle-double-triple-angle-perpendicular-1.jpg) |
Geometry Problem 912.
Right Triangle, Double Angle, Triple Angle, Perpendicular Lines.
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![Problem 911](../school-college/p911-right-triangle-double-triple-angle-cyclic-quadrilateral-1.jpg) |
Geometry Problem 911.
Right Triangle, Double Angle, Triple Angle, Concyclic Points, Cyclic Quadrilateral.
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![Problem 910](../school-college/p910-bicentric-quadrilateral-incenter-circumcenter-distance-circumradius-1.jpg) |
Geometry Problem 910.
Bicentric Quadrilateral, Distance between the Incenter and Circumcenter, Incircle, Circumcircle, Circumscribed, Inscribed, Circumradius.
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![Problem 909 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius](../school-college/p909-bicentric-quadrilateral-incenter-distance-circle-inradius-1.jpg) |
Geometry Problem 909.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius,
Distance.
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![Problem 908 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius](../school-college/p908-bicentric-quadrilateral-tangent-circle-inradius-1.jpg) |
Geometry Problem 908.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.
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![Problem 907 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius](../school-college/p907-bicentric-quadrilateral-tangent-circle-inradius-1.jpg) |
Geometry Problem 907.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.
|
![Problem 906 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Perpendicular](../school-college/p906-bicentric-quadrilateral-chord-perpendicular-1.jpg) |
Geometry Problem 906.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Perpendicular.
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![Lester Circle Theorem](../circle/lester-circle-fermat-circumcenter-nine-point-college-1.jpg) |
Geometry Problem 905: Lester Circle Theorem.
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![Second Fermat Point](../center/fermat-point-second-dynamic-triangle-equilateral-1.jpg) |
Geometry Problem 904: Second Fermat Point: Static diagram.
Second Fermat Point: Dynamic diagram.
Triangle, Equilateral triangles, Concurrent lines, GeoGebra, HTML5 Animation for Tablets (iPad, Nexus) |
![Fermat Point](../center/fermat_point_1.jpg) |
Geometry Problem 903: First Fermat Point.
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![Geometry problems 881-890](../math_geometry_online_courses/geometry_problems_881_890_1.jpg) |
Geometry Problems
881 - 890.
Triangle, Circle, Parallelogram, Trapezoid, Congruence, Similarity, Metric Relations, Incircle, Rectangle, Square |
![Geometry Problem 902](../school-college/p902-dynamic-triangle-squares-concurrent-ipad-animation-1.jpg) |
Static Diagram of problem 902
Dynamic Geometry Problem
902
Triangle, Four Squares, Center, Concurrent Lines.
GeoGebra, HTML5 Animation for Tablets
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![Geometry Problem 901](../school-college/p901-circle-common-tangent-secant-circumcircle-concyclic-ipad-animation-1.jpg) |
Static Diagram of problem 901
Dynamic Geometry Problem
901
Intersecting Circles, Common External Tangent, Secant, Circumcircle, Concyclic Points, Cyclic Quadrilateral.
GeoGebra, HTML5 Animation for Tablets
|
![Geometry Problem 900](../school-college/p900-circle-common-tangent-angle-congruence-secant-ipad-animation-1.jpg) |
Geometry Problem
900
Intersecting Circles, Common External Tangent, Secant, Angle, Congruence.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 899](../school-college/p899-circle-common-tangent-angle-concyclic-ipad-animation-1.jpg) |
Geometry Problem 899
Intersecting Circles, Common External Tangent, Secant, Concyclic Points, Cyclic Quadrilateral.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 898](../school-college/p898-circle-common-tangent-angle-collinear-ipad-animation-1.jpg) |
Geometry Problem 898
Intersecting Circles, Common External Tangent, Secant, Circumcenter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 897](../school-college/p897-triangle-circle-common-tangent-angle-congruence-animation-1.jpg) |
Geometry Problem 897
Intersecting Circles, Common External Tangent, Secant, Congruence.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 896](../school-college/p896-triangle-orthocenter-midpoint-circle-diameter-collinear-html5-ipad-1.jpg) |
Geometry Problem 896
Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 895](../school-college/p895-triangle-incircle-tangent-parallel-collinear-html5-ipad-1.jpg) |
Geometry Problem 895
Triangle, Incircle, Tangency Points, Parallel line, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 894](../school-college/p894-triangle-incenter-60-degrees-midpoint-parallel-html5-ipad-1.jpg) |
Geometry Problem 894
Triangle, Angle, 60 degrees, Incenter, Midpoint, Parallel Lines.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 893](../school-college/p893-triangle-circumcenter-incenter-circle-collinear-html5-ipad-1.jpg) |
Geometry Problem 893
Triangle, Circumcircle, Incenter, Circle, Tangent, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
![Geometry Problem 892](../school-college/p892-triangle-60-degrees-orthocenter-circumcenter-html5-ipad-1.jpg) |
Geometry Problem 892
Triangle, 60 degrees, Orthocenter, Circumcenter. |
![Geometry Problem 891](http://agutie.homestead.com/files/geometry/p891-equiangular-octagon-metric-relations-sides-school-1.jpg) |
Geometry Problem 891
Equiangular Octagon, Metric Relations, Sides, Auxiliary Lines. |
![Geometry Problem 890](../school-college/p890-two-inscribed-squares-circles-concurrent-html5-ipad-1.jpg) |
Geometry Problem 890
Two Squares inscribed in Circles, Concurrent Lines. GeoGebra, HTML5 Animation for Tablets. |
![Geometry Problem 889](../school-college/p889-carnot-theorem-acute-triangle-inradius-circumradius-html5-ipad-1.jpg) |
Geometry Problem 889
Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets. |
![Geometry problems 871-880](../math_geometry_online_courses/geometry_problems_871_880_1.jpg) |
Geometry Problems
871 - 880.
Triangle, Circle, Parallelogram, Trapezoid, Congruence, Similarity, Metric Relations, Incircle, Rectangle, Square |
![Problem 888](../school-college/p888-butterfly-theorem-circle-midpoint-html5-ipad-1.jpg) |
Geometry Problem 888
Butterfly Theorem, Circle, Chord, Midpoint. GeoGebra, HTML5 Animation for Tablets. |
![Problem 887](../school-college/p887-triangle-altitude-bisector-midpoint-concyclic-html5-ipad-1.jpg) |
Geometry Problem 887
Triangle, Altitude, Angle Bisector, Perpendicular, Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets. |
![Problem 886](../school-college/p886-right-triangle-incenter-bisector-concyclic-geogebra-html5-ipad-1.jpg) |
Geometry Problem 886
Right Triangle, Incenter, Angle Bisector, Perpendicular, 45 Degrees, Concyclic Points, Isosceles Right Triangle. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).. |
![Pythagoras curiosity. Online tutoring.](../school-college/p885-intersecting-tangent-circles-midpoint-1.jpg) |
Geometry Problem 885
Intersecting Circles, Three Tangent Lines, Midpoint. |
![Pythagoras curiosity. Online tutoring.](../pythagoras/pythagoras_curiosity_17.jpg) |
Geometry Problem 884: The Pythagorean Curiosity
Right
Triangles and squares, fifteen conclusions. |
![Geometry Problem 883](../school-college/p883-5-circumscribed-quadrilateral-tangent-1.jpg) |
Geometry Problem 883
Five Circumscribed Quadrilaterals, Circle, Tangent, Common Tangent. |
![Geometry Problem 882](../school-college/p882-triangle-cevian-congruence-x-2x-7x-angle-1.jpg) |
Geometry Problem 882
Triangle, Angle x, 2x, 7x, Cevian, Congruence, Auxiliary Lines. |
![Geometry Problem 881](../school-college/p881-triangle-three-squares-area-center-1.jpg) |
Geometry Problem 881
Triangle, three Squares, Centers, Areas. |
![Geometry Problem 880](../school-college/p880-triangle-midpoint-perpendicular-hexagon-area-parallelogram-1.jpg) |
Geometry Problem 880
Triangle, Midpoints, Sides, Perpendiculars, Hexagon, Area. |
![Geometry Problem 879](../school-college/p879-square-midpoint-diagonal-ratio-3-1-angle-1.jpg) |
Geometry Problem 879
Square, Midpoint, Diagonal, Ratio 3:1, Angle Measure. |
![Geometry Problem 877](../school-college/p878-square-inscribed-circle-quadrant-metric-relation-1.jpg) |
Geometry Problem 878
Square, Inscribed Circle, Quadrant, Center, Perpendicular, Metric Relations. |
![Geometry Problem 877](../school-college/p877-square-transversal-similarity-metric-relation-1.jpg) |
Geometry Problem 877
Square, Right Triangle, Similarity, Metric Relations, Transversal. |
![Geometry Problem 876](../school-college/p876-equilateral-triangle-perpendicular-equal-area-1.jpg) |
Geometry Problem 876
Equilateral Triangle, any Point, Perpendicular, Right Triangle Area, Sum of Areas. |
![Geometry Problem 875](../school-college/p875-triangle-congruent-circles-triple-angle-1.jpg) |
Geometry Problem 875
Congruent Circles, Intersecting Circles, Secant, Center, Angle Trisection, Triple Angle. |
![Geometry Problem 874](../school-college/p874-isosceles-triangle-cevian-equal-circumcircles-1.jpg) |
Geometry Problem 874
Isosceles Triangle, Circumcircle, Circumcenter, Congruence. |
![Geometry Problem 873: Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence](../school-college/p873-quadrilateral-diagonal-angle-bisector-triangle-1.jpg) |
Geometry Problem 873
Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence. |
![Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees](../school-college/p872-angle-30-degrees-triangle-quadrilateral-1.jpg) |
Geometry Problem 872
Quadrilateral, Triangle, Angle, 30, 90 degrees. |
![Cyclic Quadrilateral with perpendicular diagonals Index](../circle/cyclic-quadrilateral-inscribed-perpendicular-diagonals.jpg) |
Cyclic Quadrilateral with Perpendicular Diagonals.
|
![Geometry Problem 871: Brahmagupta's Theorem, Cyclic Quadrilateral, Perpendicular Diagonals, Midpoint](../school-college/p871-cyclic-quadrilateral-perpendicular-diagonal-midpoint-1.jpg) |
Geometry Problem 871
Brahmagupta's Theorem, Cyclic Quadrilateral, Perpendicular Diagonals, Midpoint. |
![Geometry Problem 870: Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint](../school-college/p870-triangle-median-three-square-collinear-midpoint-1.jpg) |
Geometry Problem 870
Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint. |
![Geometry Problem 869: Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint](../school-college/p869-triangle-median-equilateral-collinear-midpoint-1.jpg) |
Geometry Problem 869
Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint. |
![Geometry problem 868, Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence](../school-college/p868-cyclic-quadrilateral-five-rectangles-centers-1.jpg) |
Geometry Problem 868
Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence. |
![Dynamic Geometry: Internal Feuerbach Point. HTML5 Animation for Tablets iPad, Nexus](../geogebra/internal-feuerbach-point-html5-animation-tablet-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Internal Feuerbach Point
HTML5 Animation for Tablets (iPad, Nexus..) |
![Geometry problem 867, Isosceles Triangle, Median, Perpendicular, Angle, Congruence](../school-college/p867-triangle-isosceles-angles-congruence-1.jpg) |
Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence. |
![Geometry problem 866, Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees](../school-college/p866-cyclic-quadrilateral-rectangle-center-90-degrees-1.jpg) |
Geometry Problem 866
Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees. |
![Geometry problem 865, Parallelogram, Midpoint, Parallel](../school-college/p865-parallelogram-similarity-midpoint-parallel-1.jpg) |
Geometry Problem 865
Parallelogram, Diagonal, Midpoint, Side, Triangle, Parallel, Similarity. |
![Geometry problem 854 about Parallelogram](../school-college/p864-parallelogram-congruence-similarity-metric-relations-1.jpg) |
Geometry Problem 864
Parallelogram, Diagonal, Congruence, Similarity, Metric Relations. |
![Dynamic Geometry: Nine Point Circle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/nine-point-circle-euler-feuerbach-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Nine Point Circle
HTML5 Animation for Tablets (iPad, Nexus..) |
![Dynamic Geometry: Lemoine Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/lemoine-line-triangle-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Lemoine Line
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Dynamic Geometry: Simson Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/simson-line-triangle-line-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Simson Line
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Dynamic Geometry: Euler Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/geogebra-triangle-euler-line-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Euler Line
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Circumscribed trapezoid, Inscribed Circle, Tangent](../school-college/p863-circumscribed-trapezoid-circle-tangent-metric-relations-1.jpg) |
Geometry Problem 863
Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations. |
![Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square](../school-college/p862-trapezoid-parallel-equal-areas-rms-1.jpg) |
Geometry Problem 862:
Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square
. |
![GeoGebra Constructions Index](../geogebra/geogebra-constructions-index-1.jpg) |
GeoGebra Constructions Index
HTML5 Animation for Tablets (iPad, Nexus..) |
![Triangle, Incircle, Parallel, Tangent, Metric Relations](../school-college/p861-triangle-incircle-parallel-tangent-metric-relations-1.jpg) |
Geometry Problem 861
Triangle, Incircle, Parallel, Tangent, Metric Relations. |
![Dynamic Geometry: Circumcenter and Circumcircle of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/geogebra-triangle-circumcenter-circumcircle-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry: Circumcenter and Circumcircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Dynamic Geometry: Centroid of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/geogebra-triangle-centroid-median-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Centroid
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Dynamic Geometry: Incenter and Incircle of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../center/incenter-incircle-geogebra-html5-animation-tablet-mobile-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry: Incenter and Incircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Root Mean Square in Geometry](root-mean-square-in-geometry-index-1.jpg) |
Root
Mean Square (RMS) in Geometry Index
. |
![Geometry Art Problems](../math_geometry_online_courses/design_geometry_68_1.jpg) |
Geometry Art Problems for Desktops, High-end mobile devices and Tablets (iPad,
Nexus)
Visual Index. |
![Dynamic Geometry: Orthocenter of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/geogebra-triangle-orthocenter-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Orthocenter
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence](../school-college/p860-triangle-three-medians-area-1.jpg) |
Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence. |
![Nine-point-circle, Euler Line, HTML5 Animation for iPad and Nexus](../center/nine_point_center_euler_html5_animation_ipad_nexus_1.jpg) |
Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.
Circumcenter, Centroid, Orthocenter
HTML5 Animation for iPad and Nexus
|
![Lemoine Line Theorem](lemoine-line-theorem-circle-html5-animation-for-ipad-nexus-1.jpg) |
Lemoine Line Theorem,
Interactive illustration.
HTML5 Animation for iPad and Nexus |
![Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector](../school-college/p859-triangle-angle-45-18-degrees-congruence-1.jpg) |
Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector. |
![Gergonne Point Theorem](../center/gergonne-point-theorem-html5-ipad-nexus-1.jpg) |
Gergonne Point Theorem. Concurrency.
Interactive proof with animation.
HTML5 Animation for Tablets (iPad, Nexus)
Adobe Flash Animation |
![Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines](../school-college/p858-isosceles-right-triangle-angle-1.jpg) |
Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines. |
![Problem 856: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines](../school-college/p857-triangle-median-midpoint-angle-30-degrees-1.jpg) |
Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines. |
![Problem 856: Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines](../school-college/p856-quadrilateral-triangle-angle-30-degrees-diagonal-1.jpg) |
Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
![](../solid/platonic_solid_170.jpg) |
Platonic
Solids, Interactive animation.
HTML5 Animation for iPad and Nexus |
![Johnson: Intersecting circles](johnson-theorem-four-circles-html5-1.jpg)
|
Johnson's Theorem,
Intersecting circles.
HTML5 Animation |
![Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines](../school-college/p855-triangle-angle-30-degrees-auxiliary-lines-1.jpg) |
Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
![Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines](../school-college/p854-triangle-parallelogram-parallel-area-similarity-1.jpg) |
Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines. |
![Problem 853: Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations](../school-college/p853-square-arc-perpendicular-circle-midpoint-metric-relations-1.jpg) |
Geometry Problem 853
Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations. |
![Problem 852: Triangle, Incircle, Inradius, Tangent, Metric Relations](../school-college/p852-triangle-incircle-inradius-tangent-metric-relations-1.jpg) |
Geometry Problem 852
Triangle, Incircle, Inradius, Tangent, Metric Relations. |
![Problem 851: Triangle, Triple side, Angles, 90 Degrees. Special Right triangle](../school-college/p851-triangle-triple-side-angle-90-degrees-1.jpg) |
Geometry Problem 851
Triangle, Triple side, Angles, 90 Degrees, Special Right triangle, Sides ratio 1:3. |
![Problem 850: Triangle, Double side, Angles, 90 Degrees. Special Right triangle](../school-college/p850-triangle-double-side-angle-90-degrees-1.jpg) |
Geometry Problem 850
Triangle, Double side, Angles, 90 Degrees. Special Right triangle. |
![Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle](../school-college/p849-special-right-triangle-catheti-ratio-1-3-angle-18.5-degrees-1.jpg) |
Geometry Problem 849
Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle. |
![Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle](../school-college/p848-special-right-triangle-cathetus-1-2-angle-26.5-degrees-1.jpg) |
Geometry Problem 848
Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle. |
|
iPad Apps: Apollonius Software. Feuerbach Point. Triangle, Incircle, Nine point circle, Tangent circles, Orthocenter, Midpoint.
Interactive Geometry Software for iPad. |
![iPad Apps: Geometry Designer Geometry Software](../ipad/geometry-designer-app/ipad-geometry-designer-index-1.jpg) |
Geometry Designer
for iPad, iPhone, iPod - Index
Dynamic Geometry.
|
![van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points](../school-college/p847-triangle-centroid-six-circumcenter-concyclic-points-lamoen-1.jpg) |
Geometry Problem 847
van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points. |
|
iPad Apps, Geometry Designer Illustration. Circle of van Lamoen.
Interactive Geometry Software for iPad, iPhone, iPod. |
![iPad App Geometry Designer Four Circles Theorem](../ipad/geometry-designer-app/ipad-four-circles-theorem-cyclic-quadrilateral-1.jpg) |
iPad Apps: Geometry Designer Illustration. Four Circles Theorem.
Interactive Geometry Software for iPad, iPhone, iPod. |
![Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity](../school-college/p846-triangle-centroid-four-circumcenter-concyclic-points-1.jpg) |
Geometry Problem 846
Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity. |
![Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity](../school-college/p845-triangle-centroid-four-circumcenter-perpendicular-median-similarity-1.jpg) |
Geometry Problem 845
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity. |
![Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity](../school-college/p844-triangle-centroid-four-circumcenter-perpendicular-median-similarity-1.jpg) |
Geometry Problem 844
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity. |
![Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity](../school-college/p843-triangle-centroid-four-circumcenter-perpendicular-parallel-similarity-1.jpg) |
Geometry Problem 843
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity. |
![Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity](../school-college/p842-triangle-centroid-four-circumcenter-perpendicular-similarity-1.jpg) |
Geometry Problem 842
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity. |
![Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity](../school-college/p841-triangle-centroid-circumcenter-perpendicular-similarity-1.jpg) |
Geometry Problem 841
Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity. |
![van Lamoen Circle Index](triangle-centroid-six-circumcenters-van-lamoen-circle-index-1.jpg) |
van Lamoen Circle - Index. |
![Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity](../school-college/p840-parallelogram-perpenddicular-sides-diagonal-1.jpg) |
Geometry Problem 840
Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity. |
![Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations](../school-college/p839-parallelogram-perpendicular-sides-projection-1.jpg) |
Geometry Problem 839
Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations. |
![Parallelogram, Perpendicular, Diagonal, Metric Relations](../school-college/p838-parallelogram-perpendicular-diagonal-metric-relations-1.jpg) |
Geometry Problem 838
Parallelogram, Perpendicular, Diagonal, Metric Relations. |
![Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points](../school-college/p837-triangle-orthocenter-circumcenter-concyclic-1.jpg) |
Geometry Problem 837
Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points. |
![Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations](../school-college/p836-parallelogram-perpendicular-diagonal-similarity-1.jpg) |
Geometry Problem 836
Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations. |
![Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines](../school-college/p835-isosceles-triangle-angle-double-triple-auxiliary-lines-1.jpg) |
Geometry Problem 835
Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines. |
![Prezi Presentation: A Geometry Course by Mark Vasicek](../software/prezi/prezi-saas-cloud-presentation-geometry-1.jpg) |
Prezi Presentation: A Geometry Course by Mark Vasicek
|
![Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional](../school-college/p834-parallelogram-diagonal-geometric-mean-proportional-1.jpg) |
Geometry Problem 834
Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional. |
![Mean in Geometry, Index](geometric_mean_arithmetic_1.jpg) |
Mean in Geometry.
Index. |
![Parallelogram, Diagonal, Similarity, Proportion](../school-college/p833-parallelogram-diagonal-proportion-similarity-1.jpg) |
Geometry Problem 833
Parallelogram, Diagonal, Similarity, Proportion. |
![Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence](../school-college/p832-quadrilateral-triangle-70-70-40-angle-20-congruence-1.jpg) |
Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle. |
![Quadrilateral, Triangle, Angles, 30 degrees, Congruence](../school-college/p831-quadrilateral-diagonal-midpoint-parallelogram-1.jpg) |
Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram. |
![Quadrilateral, Triangle, Angles, 30 degrees, Congruence](../school-college/p830-triangle-quadrilateral-30-degree-congruence-1.jpg) |
Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence. |
![Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations](../school-college/p829-triangle-circumcircle-parallel-metric-relation-1.jpg) |
Geometry Problem 829
Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations. |
![Geometry Problem Quadrilateral Midpoint](../school-college/p828-quadrilateral-midpoint-opposite-sides-diagonals-concurrent-1.jpg) |
Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian. |
![Semicircle, Chord, Arc, Area](../school-college/p827-brianchon-corollary-circumscribed-hexagon-diagonal-1.jpg) |
Geometry Problem 827: Brianchon Corollary
Circumscribed Hexagon, Tangency Points, Diagonal, Opposite Sides, Concurrent lines. |
![Brianchon's Theorem, Circumscribed Hexagon, Concurrent Diagonals](../school-college/p826-brianchon-theorem-circumscribed-hexagon-diagonals-1.jpg) |
Geometry Problem 826: Brianchon's Theorem
Circumscribed Hexagon, Concurrent Diagonals. |
![Semicircle, Chord, Arc, Area](../school-college/p825-semicircle-triangle-area-diameter-chord-arc-midpoint-sector-1.jpg) |
Geometry Problem 825.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. |
![Desargues' Theorem, Triangles in Perspective](../school-college/p824-desargues-theorem-perspective-triangles-1.jpg) |
Geometry Problem 824
Desargues' Theorem, Triangles in Perspective. |
![Tangent Circles, Diameter, Perpendicular, Triangle, Area, Tangency Point](../school-college/p823-circle-triangle-area-perpendicular-tangent-diameter-1.jpg) |
Geometry Problem 823.
Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point. |
![Area of a Circle](../circle/area-of-a-circle-theorems-problems-index.jpg)
|
Circle Area.
Index.
Theorems and Problems.
|
![Semicircle, Chord, Arc, Area](../school-college/p822-circle-triangle-area-diameter-chord-midpoint-sector-1.jpg) |
Geometry Problem 822.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. |
![Adams Circle](../school-college/p821-adams-circle-theorem-1.jpg) |
Geometry Problem 821.
Adams Circle. |
![Triangle, Angles, 30 Degrees](../school-college/p820-triangle-cevian-30-degrees-angle-1.jpg) |
Geometry Problem 820.
Triangle, Cevian, Angles, 30 Degrees. |
![Geometry problems 811-820](../math_geometry_online_courses/geometry_problems_811_820_1.jpg) |
Geometry Problems
811 - 820.
Triangle, Circle, Quadrilateral, Square, Pitot Theorem, Arbelos, Tangent, 30 Degrees. |
![Quadrilateral, Triangle, Angles](../school-college/p819-quadrilateral-triangle-angle-30-degrees-1.jpg) |
Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees. |
![Square, Triangle, Angle](../school-college/p818-square-triangle-angles-1.jpg) |
Geometry Problem 818.
Square, Triangle, Angle. |
![Two Circles, Tangent Lines](../school-college/p817-two-circumscribed-quadrilateral-circle-common-tangent-1.jpg) |
Geometry Problem 817. Two
circles, Tangent Lines, Circumscribed Quadrilaterals. |
![Tangential Quadrilateral: Pitot Theorem](../school-college/p816-pitot-theorem-circumscribed-quadrilateral-1.jpg) |
Geometry Problem 816. Tangential or Circumscribed Quadrilateral: Pitot Theorem. |
![Triangle, Incircle, Arbelos, Area](../school-college/p815-triangle-incircle-semicircle-tangent-arbelos-area-1.jpg) |
Geometry Problem
815.
Triangle, Incircle, Semicircles, Arbelos, Area. |
![Equilateral triangles, a common vertex](../school-college/p814-two-equilateral-triangle-vertex-angle-1.jpg) |
Geometry Problem
814.
Two Equilateral Triangles with a common Vertex, Angle. |
![Right triangle, Excircles, Area](../school-college/p813-right-triangle-area-excircles-quadrilateral-1.jpg) |
Geometry Problem
813.
Right Triangle Area, Excircles, Cathetus, Tangency Points, Quadrilateral Area. |
|
Geometry Problem
812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers. |
![Trisecting a line segment, 4 circles](../school-college/p811-trisecting-segment-4-circles-one-line-1.jpg) |
Geometry Problem
811: Trisecting a line segment.
With four circles and one line. |
![Trisecting a line segment, 2 circles](../school-college/p810-trisecting-segment-2-circles-8-lines-1.jpg) |
Geometry Problem
810: Trisecting a line segment.
With two circles and eight lines. |
![Trisecting a segment with three circles](../school-college/p809-trisecting-segment-3-circles-4-lines-1.jpg) |
Geometry Problem
809: Trisecting a line segment.
With three circles and four lines. |
![Parallelogram, Perpendicular, Semicircle, Area](../school-college/p808-parallelogram-perpendicular-right-triangle-semicircle-area-1.jpg) |
Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter. |
![Right Triangle Area, Incircle, Semicircle](../school-college/p807-right-triangle-area-semicircle-incircle-1.jpg) |
Geometry Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area. |
![Lines, Theorems and Problems Index](lines-segment-straight-ray-trisecting-curve-theorems-problems-high-school-college-i.jpg) |
Lines. Theorems and Problems. |
![Trisecting a Line Segment Theorems and Problems](trisecting-segment-trisection-theorems-problems-i.jpg) |
Trisecting a Line Segment.
Theorems and Problems |
![Triangle, Circumcenter, Similarity](../school-college/p806-triangle-circumcenter-similarity-1.jpg) |
Geometry Problem 806
Triangle, Points on sides, Circumcenter, Similarity. |
![Area of a Right Triangle, Theorems and Problems](area-of-right-triangle-theorems-problems-i.jpg) |
Area of a Right Triangle, Theorems and Problems. |
|
iPad Apps: Apollonius Software. Problem 794: Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.
Interactive Geometry Software. |
![Stewart Theorem](../pythagoras/stewart_theorem_170.jpg) |
Geometry Problem 805, Stewart Theorem
Triangle, sides and a cevian.
|
![iPad Apps: Apollonius Geometry Software](../ipad/apps-apollonius-igs-sw/ipad-igs-geometry-software-apollonius-index-1.jpg) |
iPad Apps: Apollonius, Interactive Geometry Software IGS Index.
Theorems and Problems with Apollonius for iPad. |
![Butterfly theorem](../school-college/p804-butterfly-theorem-proof-1.jpg) |
Geometry Problem
804
Circle, Chord, Midpoints. |
![Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement](../school-college/p803-right-triangle-altitude-angle-bisector-1.jpg) |
Geometry Problem
803
Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement. |
|
Geoboard
for iPad Pythagorean Theorem Proof by Leonardo. |
![Polygon definition](../math_geometry_online_courses/polygon-definition-1.jpg) |
Polygon definition
|
![Geoboard: Squares, midpoints of sides](../geoboard/ipad-geoboard-squares-inside-squares-midpoint-side-1.jpg) |
Geoboard
for iPad Gallery: Squares inscribed in squares. Midpoints of the sides, Sequence, Recursive Form, Areas |
![iPadd Apps Geoboard, triangle with two squares](../geoboard/ipad-geoboard-496-triangle-squares-1.jpg) |
Geoboard
for iPad Gallery: Triangle with two squares (Problem 496). |
|
Geoboard
for iPad Gallery: Six squares with a common vertex. |
![Triangle definition](../math_geometry_online_courses/triangle-definition-1.jpg) |
Triangle definition
|
![Geoboard for iPad Index](../geoboard/geoboard-geometry-kids-index.jpg) |
Geoboard for iPad Index.
This virtual version is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPod Touches, iPhones, or iPads |
|
Geoboard
for iPad Pythagorean Theorem Proof, Squares (Problem 540). |
![Scalene Triangle, Median, Perpendicular, Angle, Measurement](../school-college/p802-triangle-median-perpendicular-angle-1.jpg) |
Geometry Problem
802
Scalene Triangle, Median, Perpendicular, Angle, Measurement. |
![Equilateral Triangles, Midpoint](../school-college/p801-equilateral-triangle-metric-relation-1.jpg) |
Geometry Problem
801
Equilateral Triangles, Cevian, Midpoint, Distance, Measurement, Metric Relations. |
![de Gua's theorem](../solid/gua_theorem_170.jpg) |
Geometry Problem
800: de Gua's Theorem
Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area. |
![Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter](../school-college/p799-parallelogram-angle-bisector-circumcircle-circumcenter-1.jpg) |
Geometry Problem 799
Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter. |
![Parallelogram, Secant Line, Tangent Circles, Triangle](../school-college/p798-parallelogram-secant-line-tangent-circles-1.jpg) |
Geometry Problem 798
Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle. |
![Parallelogram, Angle Bisector](../school-college/p797-parallelogram-angle-bisector-isosceles-1.jpg) |
Geometry Problem 797
Parallelogram, Angle Bisector, Isosceles and Similar Triangles. |
![Triangle, Altitude, Angle](../school-college/p796-triangle-altitude-perpendicular-angle-1.jpg) |
Geometry Problem 796
Triangle, Altitude, Measurement of Angles. |
![Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence](../school-college/795-intersecting-circles-secant-chord-midpoint-90-degrees-1.jpg) |
Geometry Problem 795
Intersecting Circles, Common Chord, Midpoint, Tangent, Secant Line, Perpendicular, 90 Degrees. |
![Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence](../school-college/p794-right-triangle-altitude-incircle-2-circumcircles-congruence-1.jpg) |
Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence. |
![Right Triangle, Altitude, Three Incircles, Circumradius](../school-college/p793-right-triangle-altitude-3-incenters-circumradius-distance-1.jpg) |
Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance. |
![Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles](../school-college/p792-right-triangle-altitude-3-incenters-concyclic-bisector-1.jpg) |
Geometry Problem 792
Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles. |
![Regular Hexagon, Midpoints, Equilateral Triangle](../school-college/p791-regular-hexagon-midpoint-equilateral-triangle-area-1.jpg) |
Geometry Problem 791
Regular Hexagon, Midpoints of Side and Diagonal, Equilateral Triangle, Area. |
![Right Triangle, Altitude, Incenter, Angle Bisector, Inradius](../school-college/p790-right-triangle-altitude-incenter-inradius-congruence-1.jpg) |
Geometry Problem 790
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence. |
![Right Triangle, Altitude, Angle Bisector, Inradius](../school-college/p789-right-triangle-altitude-angle-bisector-inradius-1.jpg) |
Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line. |
![Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral](../school-college/p788-intersecting-circle-midpoint-cyclic-quadrilateral-1.jpg) |
Geometry Problem 788
Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral. |
![Right Triangle, Altitude, Incircle Index](right-triangle-altitude-bisector-incircle-inradius-theorems-problems-i.jpg) |
Right triangle, Altitude, Incircle
Right Triangle, Altitude to the Hypotenuse, Incircle, Incenter, Inradius, Angle Bisector, Theorems and Problems, Index. |
![Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations](../school-college/p787-right-triangle-circles-tangent-legs-hypotenuse-inradius-1.jpg) |
Geometry Problem 787
Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations. |
![Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio](../school-college/p786-right-triangle-altitude-hypotenuse-perpendicular-metric-relations-1.jpg) |
Geometry Problem 786
Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio, Metric relations. |
![Equilateral Triangle, Parallel, Perpendicular](../school-college/p785-equilateral-triangle-parallel-perpendicular-1.jpg) |
Geometry Problem 785
Equilateral
Triangle, Parallel, Perpendicular. |
![Triangle, Orthocenter, Midpoint](../school-college/p784-triangle-orthocenter-midpoint-perpendicular-1.jpg) |
Geometry Problem 784
Triangle, Orthocenter, Altitude, Midpoint of a side, Perpendicular. |
![Triangle, Orthocenter, Circumcircle, Diameter, Midpoint](../school-college/p783-triangle-orthocenter-circumcircle-diameter-midpoint-1.jpg) |
Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint. |
![Triangle, Orthocenter, Circumcircle, Diameter, Altitude, Parallelogram](../school-college/p782-triangle-orthocenter-circumcircle-diameter-parallelogram-1.jpg) |
Geometry Problem 782
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram. |
![Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular](../school-college/p781-triangle-circumcenter-perpendicular-orthocenter-midpoint-1.jpg) |
Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular. |
![Triangle, Orthocenter, Inradius, Circumradius](../problem/p780-triangle-distance-orthocenter-vertex-circumradius-inradius-1.jpg) |
Geometry Problem 780
Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices. |
![Triangle, Orthocenter, Midpoint, 90 Degrees](../problem/p779-triangle-altitude-orthocenter-midpoint-90-degrees-1.jpg) |
Geometry Problem 779
Triangle, Altitude, Orthocenter, Midpoint, Angle, 90 Degrees. |
![Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.](../problem/p778-triangle-altitude-orthocenter-vertex-circumradius-side-1.jpg) |
Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square. |
![Triangle, Distance from the Orthocenter, Vertex, Circle, Circumradius, Cosine](../problem/p777-triangle-altitude-orthocenter-vertex-circumradius-cosine-1.jpg) |
Geometry Problem 777
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine. |
![Triangle, Isogonal lines, Congruent angles, Perpendicular](../problem/p776-triangle-isogonal-perpendicular-feet-concyclic-midpoint-1.jpg) |
Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint. |
![Triangle, Isogonal lines, Congruent angles, Perpendicular](../problem/p775-triangle-isogonal-perpendicular-feet-metric-relation-1.jpg) |
Geometry Problem 775
Triangle, Isogonal lines, Congruent angles, Perpendicular, Metric Relations. |
![Triangle, Two Altitudes, Circumcircle, Tangent, Parallel](../problem/p774-triangle-circumcircle-altitude-tangent-parallel-1.jpg) |
Geometry Problem 774
Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel. |
![Intersecting Circles, Midpoint, Secant, Bisection](../problem/p773-intersecting-circles-midpoint-secant-1.jpg) |
Geometry Problem 773
Intersecting Circles, Midpoint, Secant line, Bisection. |
![Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations](../problem/p772-triangles-common-vertex-similarity-sas-midpoint-1.jpg) |
Geometry Problem 772
Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations. |
![Parallelogram, Star, Pentagon, Area](../problem/p771-parallelogram-star-pentagon-triangle-area-1.jpg) |
Geometry Problem 771
Area of a Parallelogram, Star, Pentagon, Triangles. |
![Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence](../problem/p770-parallelogram-triangle-circumcenter-angle-bisector-1.jpg) |
Geometry Problem 770
Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement. |
![Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence](../problem/p769-triangle-circumcenter-orthocenter-midpoint-arc-parallel-congruence-1.jpg) |
Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence. |
![Parallelogram with wquilateral triangles](../problem/p768-parallelograms-equilateral-triangles-1.jpg) |
Geometry Problem 768
Parallelogram with Equilateral Triangles on Sides. |
![Equilateral triangle, Circle, Tangent](../problem/p767-equilateral-triangle-tangent-to-circle-1.jpg) |
Geometry Problem 767
Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant. |
![Triangle, Inradius, Exradii, Harmonic Mean](../problem/p766-triangle-altitudes-exradii-equal-harmonic-mean-1.jpg) |
Geometry Problem 766
Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean. |
![Triangle, Inradius, Exradii, Harmonic Mean](../problem/p765-triangle-inradius-exradius-exradii-harmonic-mean-1.jpg) |
Geometry Problem 765
Triangle, Inradius, Exradii, Three Exradius, Harmonic Mean. |
![Triangle, Inradius, Altitudes, Harmonic Mean](../problem/p764-triangle-altitudes-inradius-harmonic-mean-1.jpg) |
Geometry Problem 764
Triangle, Inradius, Altitudes, Harmonic Mean. |
![Parallelogram, Diagonal, Parallel, Congruence](../problem/p763-parallelogram-diagonal-parallel-congruence-1.jpg) |
Geometry Problem 763
Parallelogram, Diagonal, Parallel, Congruence. |
![Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle](../problem/p762-parallelogram-midpoint-perpendicular-congruence-1.jpg) |
Geometry Problem 762
Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle. |
![Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle](../problem/p761-triangle-60-degrees-euler-line-equilateral-1.jpg) |
Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle. |
![Isosceles Triangle, Circle, Diameter, Altitude, Chord](../problem/p760-isosceles-triangle-circle-diameter-metric-relations-1.jpg) |
Geometry Problem 760
Isosceles Triangle, Circle, Diameter, Altitude, Chord, Metric relations. |
![Equilateral Triangle,Trisection, Cevian, Perpendicular](../problem/p759-equilateral-triangle-transversal-60-degrees-1.jpg) |
Geometry Problem 759
Equilateral Triangle, Transversal, Trisection of sides, Congruence, Angle. |
![Equilateral Triangle,Trisection, Cevian, Perpendicular](../problem/p758-equilateral-triangle-trisection-perpendicular-1.jpg) |
Geometry Problem 758
Equilateral Triangle, Cevians, Trisection of sides, Congruence, Perpendicular, 90 Degrees. |
![Equilateral Triangle, Circumcircle, Chord, Harmonic Mean](../problem/p757-equilateral-triangle-circumcircle-harmonic-mean-1.jpg) |
Geometry Problem 757
Equilateral Triangle, Circumcircle, Chords, a Half of Harmonic Mean. |
![iPad App Apollonius Interactive Geometry Software, Four Circles](../ipad/ipad-app-apollonius-software-igs-four-circles-1.jpg) |
iPad Apps: Apollonius Software. Four Circles Theorem.
Interactive Geometry Software |
![Four Circles Theorem. TracenPoche](four_circles_concyclic_17.jpg) |
Geometry Problem 756: Four Circles Theorem
Using TracenPoche Interactive Dynamic Software.
Step-by-Step construction, Manipulation, and animation. |
![Equilateral triangle, Circumcircle, Midpoint](../problem/p755-equilateral-triangle-circumcircle-midpoint-perpendicular-1.jpg) |
Geometry Problem 755.
Equilateral Triangle, Circumcircle, Chord, Arc, Midpoints, Perpendicular. |
![Equilateral triangle, Perimeter](../problem/p754-equilateral-triangle-60-degrees-center-sum-1.jpg) |
Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter. |
![Trisngle, Orthocenter, Ratio](../problem/p753-triangle-altitude-orthocenter-ratio-1.jpg) |
Geometry Problem
753.
Triangle, Altitudes, Orthocenter, Sum of ratios. |
![Square, Circle, Angle](../problem/p752-square-circle-angle-1.jpg) |
Geometry Problem
752.
Square, Circle, Tangent, Chord, Angle. |
![Parallelogram, COngruence, Angle Bisector](../problem/p751-parallelogram-congruence-angle-bisector-1.jpg) |
Geometry Problem
751.
Parallelogram, Congruence, Intersecting Lines, Angle Bisector. |
![Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity](../problem/p750-complete-quadrilateral-diagonal-parallel-metric-relations-1.jpg) |
Geometry Problem
750.
Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity, Metric Relations. |
![Geometry problems 741-750](../math_geometry_online_courses/geometry_problems_741_750_1.jpg) |
Geometry Problems
741 -
750.
Triangle, Circle, Quadrilateral, Parallelogram, Trapezoid, Incenter, Circumradius, Parallel, Perpendicular, Orthocenter, Centroid, Similarity, Congruence. |
![Triangle, Rhombus, Harmonic Mean, 90 Degrees, Perpendicular](../problem/p749-triangle-rhombus-harmonic-mean-1.jpg) |
Geometry Problem
749.
Triangle, Rhombus, Parallel, Harmonic Means, Metric Relations. |
![Quadrilateral, 90 Degrees, Perpendicular](../problem/p748-quadrilateral-90-degrees-perpendicular-metric-relations-1.jpg) |
Geometry Problem
748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Complete
Quadrilateral, Metric Relations. |
![Trapezoid, Parallel, Harmonic Mean](../problem/p747-trapezoid-diagonal-parallel-similarity-harmonic-mean-1.jpg) |
Geometry Problem
747.
Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity, Harmonic Mean, Metric Relations. |
![Triangle, Parallel, Similarity, Harmonic Mean](../problem/p746-triangle-cevian-parallel-similarity-metric-relations-1.jpg) |
Geometry Problem
746.
Triangle, Cevian, Parallel, Similarity, Harmonic Mean, Metric Relations. |
![Circle, Chord, Congruence, 90 Degrees](../problem/p745-circle-chord-congruence-90-degrees-1.jpg) |
Geometry Problem
745.
Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric Relations. |
![Parallelogram, Circle, Chord](../problem/p744-parallelogram-circle-diameter-chord-congruence-1.jpg) |
Geometry Problem
744.
Parallelogram, Circle, Diameter, Chord, Congruence, Triangle, Metric Relations. |
![Harmonic Mean](harmonic-mean-subcontrary-average-theorems-problems-i.jpg) |
Harmonic Mean. |
![Trapezoid, Triangle, Perpendicular, Angle](../problem/p743-trapezoid-triangle-perpendicular-angle-1.jpg) |
Geometry Problem
743.
Trapezoid, Triangle, Perpendicular, Parallel, Angle. |
![Parallel Chords, Congruent Arcs](parallel-chords-circle-i.jpg) |
Parallel
Chords.
Index.
Theorems and Problems.
|
![Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint](../problem/p742-circumradius-orthocenter-centroid-midpoint-distance-1.jpg) |
Geometry Problem
742.
Scalene Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint, Distance, Square, Metric Relations. |
![Triangle, Incenter, Circumcircle](../problem/p741-triangle-incenter-circumcircle-midpoint-arc-chord-congruence-1.jpg) |
Geometry Problem
741.
Scalene Triangle, Incenter, Circumcircle, Midpoint, Arc, Congruence. |
![Stadiums by Capacity and Geometry](../stadium/stadium-geometry-i.jpg) |
Top Stadiums in the
World by Capacity. |
![Scalene, Isosceles Triangle, Angles](../problem/p740-isosceles-triangle-exterior-angle-problem-1.jpg) |
Geometry Problem
740.
Scalene Triangle, Angle, Semi-sum, Cevian, Isosceles Triangle. |
![Triangle with Double Angle](double_angle_i.jpg)
|
Triangle with Double Angle, Theorems and Problems, Index
|
![Triangle, Double Angle](../problem/p739_triangle_bisector_1.jpg) |
Geometry Problem
739.
Triangle, Double Angle, External Angle Bisector. Congruence. |
![Common chord to two circles](common_chord_circle_i.jpg) |
Common Chord to two circles.
Theorems and Problems. |
![Intersecting Circles, Concyclic points](../problem/p738_cyclic_quadrilateral_1.jpg) |
Geometry Problem
738.
Intersecting Circles, External Common Tangent, Common Chord, Secant, Circumcircle, Cyclic Quadrilateral, Concyclic Points. |
![Circle Inscribed in a Square](../math_geometry_online_courses/circle-inscribed-in-a-square-i.jpg) |
Circle Inscribed in a Square, Theorems and Problems.
Index. |
![Geometry problems 731-740](../math_geometry_online_courses/geometry_problems_731_740_1.jpg) |
Geometry Problems
731 -
740.
Triangle, Circle, Quadrilateral, Parallelogram, Circumcircle, Angle Bisector, Semi-sum, Isosceles, Orthocenter, Orthic, Perpendicular, Altitude, Congruence. |
![Cyclic quadrilateral, tangent, perpendicular](../problem/p737_cyclic_quadrilateral_1.jpg) |
Geometry Problem
737.
Cyclic Quadrilateral, Circumscribed Circle, Diameter, Tangent, Perpendicular. |
![Tangent Line to a Circle](tangent_line_circle_i.jpg)
|
Circle Tangent Line.
Index.
Theorems and Problems.
|
![Triangle, Altitude, Angle, geometry problem](../problem/p736_triangle_altitude_1.jpg) |
Geometry Problem
736.
Triangle, Altitude, Perpendicular, Angles, Cyclic Quadrilateral. |
![Stadiums by Capacity and Geometry](../stadium/stadium-geometry-i.jpg) |
Top Stadiums in the
World by Capacity. |
![Orthic triangle, geometry problem](../problem/p735_triangle_orthic_1.jpg) |
Geometry Problem
735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence. |
![Perpendicular Chords](perpendicular_chords_i_1.jpg) |
Perpendicular Chords.
Index.
Theorems and Problems.
|
![Triangle, Median, Isosceles, Congruence, Parallel](../problem/p734_triangle_median_1.jpg) |
Geometry Problem
734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence, Midpoint. |
![Triangle, Orthocenter, Line Reflection, Concurrency](../problem/p733_triangle_reflection_1.jpg) |
Geometry Problem
733.
Triangle, Orthocenter, Altitude, Reflection in a line, Circumcircle, Concurrency. |
![Orthic triangle, Orthocenter, Congruence](../problem/p732_orthic_triangle_1.jpg) |
Geometry Problem
732.
Triangle, Altitude, Orthic Triangle, Orthocenter, Congruence, Parallelogram. |
![Cyclic quadrilateral, Orthocenter, Parallelogram](../problem/p731_cyclic_quadrilateral1.jpg) |
Geometry Problem
731.
Cyclic quadrilateral, Triangle, Orthocenter, Altitude, Perpendicular, Parallelogram. |
![Triangle, Altitude, Perpendicular, Concurrent](../problem/p730_triangle_altitude_1.jpg) |
Geometry Problem
730.
Triangle, Altitude, Orthocenter, Perpendicular, Concurrent Lines. |
![Triangle, Orthocenter, Circumcircle](../problem/p729_triangle_orthocenter1.jpg) |
Geometry Problem
729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular, Midpoint. |
![Triangle, Circle, Concurrency](../problem/p728_triangle_concurrent_1.jpg) |
Geometry Problem
728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency. |
![Triangle, Angles](../problem/p727_triangle_angles_1.jpg) |
Geometry Problem
727.
Triangle, Isosceles, Congruence, Angles, Measurement. |
![Isosceles Triangle, Perpendicular, Midpoint](../problem/p726_triangle_90_degrees_1.jpg) |
Geometry Problem
726.
Isosceles Triangle, Perpendicular, Midpoint, 90 Degrees. |
![Kurschak Dodecagon](../problem/p725_kurschak_dodecagon_1.jpg) |
Geometry Problem
725.
Kurschak's Dodecagon, Square, Equilateral Triangle, Midpoints, 30, 60 Degrees. |
![Circumscribed Quadrilateral, Angles](../problem/p724_quadrilateral_circle1.jpg) |
Geometry Problem
724.
Circumscribed Quadrilateral, Circle, Angle, Incenter, Half
the Measure. |
![Squares, Circles, Collinear](../problem/p723_squares_circles_1.jpg) |
Geometry Problem
723.
Squares, Circumscribed Circles, Collinear points. |
![Squares, Circles, Collinear](../problem/p722_squares_circles_1.jpg) |
Geometry Problem
722.
Squares, Circumscribed Circles, Collinear points. |
![Triangle, Orthocenter, Circumcircle, Collinear](../problem/p721_altitude_collinear_1.jpg) |
Geometry Problem
721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear points. |
![Excenter, Intersecting circles](../problem/p720_excenter_circles_1.jpg) |
Geometry Problem
720.
Excenter, Intersecting Circles, Angle, Measurement. |
![Incenter, Intersecting circles](../problem/p719_incenter_circles_1.jpg) |
Geometry Problem
719.
Incenter, Intersecting Circles, Angle, Measurement. |
![Intersecting circles](../problem/p718_intersecting_circles1.jpg) |
Geometry Problem
718.
Intersecting Circles, Midpoint, Angle, Measurement. |
![Intersecting circles](../problem/p717_intersecting_circles1.jpg) |
Geometry Problem
717.
Intersecting Circles, Midpoint, Angle, Measurement. |
![Intersecting circles](../problem/p716_intersecting_circles1.jpg) |
Geometry Problem
716.
Problem 716. Intersecting Circles, Center, Radius, Perpendicular, 90 Degrees. |
![Area Parallelogram Index](parallelogram_area_i_1.jpg) |
Area of a Parallelogram.
Theorems and Problems Index. |
![Triangle, Altitudes, Parallel, Circumcircle, Angle](../problem/p715_triangle_altitudes_1.jpg) |
Geometry Problem
715.
Triangle, Altitudes, Parallel, Circumcircle, Angle, Measurement. |
![Triangle, Parallel, Concurrent, Ceva, Midpoint](../problem/p714_triangle_parallel_1.jpg) |
Geometry Problem
714.
Triangle, Parallel, Cevians, Midpoints, Median, Ceva Theorem. |
![Tangent Circles, Incenter, Chord](../problem/p713_tangent_circles_1.jpg) |
Geometry Problem
713.
Tangent Circles, Diameter, Chord, Tangent, Incenter, Incircle, Triangle. |
![Semicircles, Tangent, Perpendicular, Angle](../problem/p712_tangent_circles_1.jpg) |
Geometry Problem
712.
Semicircle, Diameter, Tangent, Perpendicular, Angle Measure. |
![Rectangle, Midpoint, Concyclic points](../problem/p711_rectangle_concyclic_1.jpg) |
Geometry Problem
711.
Rectangle, Midpoint, Angle, Concyclic Points, Cyclic Quadrilateral. |
![Parallelogram, Midpoint, Diagonal, Collinear, Metric Relations, Similarity, Congruence](../problem/p710_parallelogram_metric_1.jpg) |
Geometry Problem
710.
Parallelogram, Midpoint, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence. |
![Problem solving techniques, mind map](../problem/problem_solving_techniques1.jpg) |
Problem Solving Techniques, Interactive Mind Map.
|
![Parallelogram, Midpoints, Diagonal](../problem/p709_parallelogram_metric_1.jpg) |
Geometry Problem
709.
Parallelogram, Midpoint, Diagonal, Metric Relations, Triangle. |
![Circle, Area, Tangent, Intersecting, Lune](../problem/p708_circle_area_lune_1.jpg) |
Geometry Problem
708.
Circle, Tangent, Intersecting, Lune, Area, Diameter. |
![Triangle, Excenter, Angle](../problem/p707_excenters_angles_1.jpg) |
Geometry Problem
707.
Triangle, Excenters, Excircles, Angle Bisectors, Angle, Measurement. |
![Triangle, 3 Circumcenters, Concyclic, Cyclic quadrilateral](../problem/p706_cyclic_quadrilateral_1.jpg) |
Geometry Problem
706.
Triangle, Cevian, Three Circumcenters, Circumcircles, Concyclic Points, Cyclic quadrilateral. |
![Intersecting Circles, Diameter](../problem/p705_intersecting_circles_1.jpg) |
Geometry Problem
705.
Intersecting Circles, Diameter, Angles, Measurement. |
![Orthocenter, triangle, midpoint, perpendicular](../problem/p704_orthocenter_triangle_1.jpg) |
Geometry Problem
704.
Triangle, Orthocenter, Altitude, Midpoint, Perpendicular. |
![Triangle, Incircle, Diameter](../problem/p703_triangle_incircle_1.jpg) |
Geometry Problem
703.
Triangle, Incircle, Tangency point, Diameter, Congruence. |
![Trianglr, Circumcicle, Concyclic](../problem/p702_circles_angles_1.jpg) |
Geometry Problem
702.
Triangle, Circumcircle, Parallel, Concyclic Points. |
![Intersecting Circles, Diameter, Perpendicular](../problem/p701_circles_angles_1.jpg) |
Geometry Problem
701.
Intersecting Circles, Diameter, Perpendicular, Angles, Congruence. |
![Concyclic Points](concyclic_points_index_1.jpg) |
Concyclic
Points.
|
![Equilateral triangle, Circle](p700_equilateral_triangle_1.jpg) |
Geometry Problem
700.
Equilateral Triangle, Circle, Circular Segment, Midpoint of a side, Metric Relations. |
![Equilateral triangle, Circle](p699_equilateral_triangle_1.jpg) |
Geometry Problem 699.
Equilateral Triangle, Circle, Circular Segment, Midpoint, Metric Relations. |
![Quadrilateral, 120 degrees, Angles](p698_triangle_120_degrees_1.jpg) |
Geometry Problem 698.
Quadrilateral, Diagonal, Angle Bisector, Triangle, 120 Degrees. |
![Geometry problems 691-700](../math_geometry_online_courses/geometry_problems_691_700_1.jpg) |
Geometry Problems 691 -
700.
Triangle, Quadrilateral, Circle, Metric Relations, Square, 30-60-120 Degrees, Area, Congruence. |
![Square, Circle, Area](p697_square_circle_area_1.jpg) |
Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya. |
![Circle, Square, Area](p696_triangle_angle_1.jpg) |
Geometry Problem 696.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya. |
![Circle, Square, Area](p695_triangle_angle_1.jpg) |
Geometry Problem 695.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya. |
![Circle, Square, Area](p694_triangle_angle_1.jpg) |
Geometry Problem 694.
Triangle, Angles, 30 Degrees, Auxiliary Construction, Mind Map, Polya. |
![Circle, Square, Area](p693_circle_square_area_1.jpg) |
Geometry Problem 693.
Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya. |
![Quatrefoil, Circle, Square, Area](p692_quatrefoil_area_circl1.jpg) |
Geometry Problem 692.
Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Polya. |
![Isosceles triangle 80, 20, 20 degrees](p691_isosceles_80_degree_1.jpg) |
Geometry Problem 691.
Isosceles Triangle, 80-80-20 Degrees, Angles, Congruence, Mind Map, Polya. |
![Distance between the incenter to the centroid](../center/distance_incenter_centroid_.jpg) |
Problem 690: Distance between the Incenter and the Centroid of a
Triangle.
Formula in terms of the sides a,b,c. |
![Geometry problems 681-690](../math_geometry_online_courses/geometry_problems_681_690_1.jpg) |
Geometry Problems 681 - 690.
Triangle, Circle, 60 Degrees, Incenter, Circumcenter, Orthocenter, Parallelogram, Metric Relations, Congruence, Similarity. |
![Triangle, Excircles, Tangent, Concurrency](p689_triangle_excircles_1.jpg) |
Geometry Problem 689.
Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map. |
![Geometry Problem 688, Triangle, 60 Degrees, Mind Map](p688_triangle_60_degree_1.jpg) |
Geometry Problem 688.
Triangle, Angles, 10, 20, 30, 40, 60 Degrees, Measure, Mind Map, Polya. |
![Triangle, Excircles, COncurrency](p687_triangle_excircles_1.jpg) |
Geometry Problem 687.
Triangle, Three Excircles, Tangency points, Concurrent Lines. |
![Triangle, Excircles, Tangent](p686_excircles_tangent_1.jpg) |
Geometry Problem 686.
Triangle, Three Excircles, Tangency points, Tangent lines, Semi-perimeter, Congruence. |
![Isosceles triangl 100-40-40 degrees](p685_isosceles_100_degree_1.jpg) |
Geometry Problem 685
Isosceles Triangle, 100-40-40 Degrees, Angles, Congruence. |
![Outer Nagel Point](p684_nagel_point_exterior_1.jpg) |
Geometry Problem 684:
Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
![Nagel Point](p683_nagel_point_interior_1.jpg) |
Geometry Problem 683:
Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
![Gergonne Point Theorem](p682_gergonne_point_ex_1.jpg) |
Geometry Problem 682: Gergonne External Point.
Triangle, Excircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem. |
![Gergonne Point Theorem](p681_gergonne_point_in_1.jpg) |
Geometry Problem 681:
Gergonne Point.
Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem. |
![Concentric Circles](../problem/p680-concentric-circles-1.jpg) |
Geometry Problem 680.
Concentric Circles, Radii, Chords, Perpendicular, Metric Relations. |
![Online education degree: geometry problems](http://agutie.homestead.com/files/problem/geometry_problems_index_1.jpg) |
100 Geometry Problems Collection
|
![Triangle, Circle, Median, Proportion](../problem/p679-triangle-circle-1.jpg) |
Geometry Problem 679.
Triangle, Circle, Median, Proportion. |
![Simson Line, Parallel](../problem/p678-simson-line-1.jpg) |
Geometry Problem 678.
Triangle, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points. |
![Parallelogram, Midpoint, Diagonal](../problem/p677-parallelogram-1.jpg) |
Geometry Problem 677.
Parallelogram, Midpoint, Diagonal, Metric Relations. |
![Circles, Diameter, Tangent, Metric Relations](../problem/p676-circle-metric-relatio1.jpg) |
Geometry Problem 676.
Circles, Diameter, Tangent, Chord, Metric Relations. |
|
Geometry Problem 675.
Intersecting Circles, Secant, 45 and 90 Degrees, Collinear Points. |
![Triangle, Altitude, Angles](../problem/p674_triangle_angle_1.jpg) |
Geometry Problem 674.
Triangle, Altitude, Angles. |
![Tangent Circles, Chord, Metric Relations](../problem/p673_tangent_circles_1.jpg) |
Geometry Problem 673.
Internally tangent circles, Chord, Tangent, Metric Relations. |
![Tangent Circles, Geometric Mean](../problem/p672_tangent_circles_1.jpg) |
Geometry Problem 672.
Internally tangent circles, Chord, Tangent, Geometric Mean. |
![Geometry problem: Triangle, Angles, Congruence](../problem/p671_triangle_angles_1.jpg) |
Geometry Problem 671.
Triangle, Cevian, Angles, Congruence. |
![Triangle, 60 Degrees](../problem/p670_triangle_60_degrees_1.jpg) |
Geometry Problem 670.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Congruence. |
![Triangle, Circumcircle, Incenter](../problem/p669_triangle_incenter_1.jpg) |
Geometry Problem 669.
Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map. |
![Right triangle, Incircles](../problem/p668_right_triangle_1.jpg) |
Geometry Problem 668.
Right triangle, Incircles, Parallel, Common Tangent, Mind Map. |
![Intersecting circles, Tangent, Metric Relations](../problem/p667_intersecting_circle_1.jpg) |
Geometry Problem 667.
Intersecting Circles, Secant, Tangent, Metric Relations, Mind Map. |
![Intersecting circles](../problem/p666_intersecting_circle_1.jpg) |
Geometry Problem 666.
Intersecting Circles, Secant, Tangent, Concyclic points, Mind Map. |
![Intersecting circles](../problem/p665_intersecting_circle_1.jpg) |
Geometry Problem 665.
Intersecting Circles, Secant, Tangent, Angles, Mind Map. |
![Triangle, 60 Degrees, Centers, Angles](../problem/p664_triangle_60_degrees_1.jpg) |
Geometry Problem 664.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Angles,
Triangle centers. |
![Triangle, 60 Degrees, Concurrent lines](../problem/p663_triangle_60_degrees_1.jpg) |
Geometry Problem 663.
Scalene Triangle, 60 Degrees, Altitude, Angle Bisector, Perpendicular Bisector,
Concurrent lines. |
![Solucion de problemas en video](../geometria/problemas_solucion_video_1.jpg) |
Video solution: Problems 1-6 (Spanish version)
By Eder Contreras and Cristian Baeza, Chile. |
![Triangle Centers, Angles](../problem/p662_triangle_angle_1.jpg) |
Geometry Problem 662.
Triangle, Incenter, Circumcenter, Orthocenter, Circle, Angle, Measurement. |
![Intersecting Circles](../problem/p661_intersecting_circles_1.jpg) |
Geometry Problem 661.
Intersecting Circles, Centers, Secant, Parallelogram. |
![Triangle, Circle, Diameter, Perpendicular](../problem/p660_triangle_circle_1.jpg) |
Geometry Problem 660.
Triangle, Circle, Diameter, Perpendicular Lines. |
![Parallelogram, Parallel lines, Collinear points](../problem/p659_parallelogram_1.jpg) |
Geometry Problem 659.
Parallelogram, Parallel Lines, Collinear Points. |
![Triangle, Altitudes, Circles, Angles](../problem/p658_triangle_circle_1.jpg) |
Geometry Problem 658.
Triangle, Altitudes, Diameter, Circle, Angles. |
![Geometry Definitions](../math_geometry_online_courses/geometry_definitions_1.jpg) |
Geometry Definitions. |
![Triangle, Incircle, Parallel](../problem/p657_triangle_incircle_1.jpg) |
Geometry Problem 657.
Triangle, Incircle, Tangency Points, Parallel Lines,
Congruence. |
![Geometry Definitions](../math_geometry_online_courses/geometry_definitions_1.jpg) |
Geometry Definitions. |
![Triangle, Cevian, Concurrent Lines](../problem/p656_triangle_concurrent_1.jpg) |
Geometry Problem 656.
Triangle, Cevian, Concurrent Lines. |
![GeoGebra Help Mind Map](../software/geogebra_help_mind_map_1.jpg) |
Dynamic Geometry Software: GeoGebra 3.2 Help Document
GeoGebra is a dynamic geometry software. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, and functions.
Interactive Mind Map |
![Archimedes Book of Lemmas Proposition 15](../problem/p655_archimedes_lemma_15_1.jpg) |
Geometry Problem 655.
Archimedes Book of Lemmas: Proposition 15
Circle, Inscribed Regular Pentagon, Radius. |
![Online education degree: online geometry classes](../math_geometry_online_courses/semicircle_theorems_prob_1.jpg) |
Semicircle.
Index.
Theorems and Problems.
|
![Archimedes Book of Lemmas Proposition 14](../problem/p654_archimedes_lemma_14_1.jpg) |
Geometry Problem 654.
Archimedes Book of Lemmas: Proposition 14
Salinon, Semicircles, Diameter, Circle, Area. |
![Archimedes Book of Lemmas Proposition 13](../problem/p653_archimedes_lemma_13_1.jpg) |
Geometry Problem 653.
Archimedes Book of Lemmas: Proposition 13
Circle, Chord, Perpendicular, Congruence. |
![Archimedes Book of Lemmas Proposition 12](../problem/p652_archimedes_lemma_12_1.jpg) |
Geometry Problem 652.
Archimedes Book of Lemmas: Proposition 12
Perpendicular chords, Arcs, Radius. |
![Archimedes Book of Lemmas Proposition 11](../problem/p651_archimedes_lemma_11_1.jpg) |
Geometry Problem 651.
Archimedes Book of Lemmas: Proposition 11
Perpendicular chords, Arcs, Radius. |
![Tangent Circles](../problem/p650_tangent_circle_chord_1.jpg) |
Geometry Problem 650.
Tangent Circles, Diameter, Radius, Chord, Perpendicular. |
![Archimedes Book of Lemmas Proposition 10](../problem/p649_archimedes_lemma_10_1.jpg) |
Geometry Problem 649.
Archimedes Book of Lemmas: Proposition 10
Tangent, Chord, Parallel, Midpoint. |
![Archimedes Book of Lemmas Proposition 9](../problem/p648_archimedes_lemma_09_1.jpg) |
Geometry Problem 648.
Archimedes Book of Lemmas: Proposition 9
Perpendicular chords, Arcs. |
![Archimedes Book of Lemmas Proposition 8](../problem/p647_archimedes_lemma_08_1.jpg) |
Geometry Problem 647.
Archimedes Book of Lemmas: Proposition 8
Angle trisection. Neusis construction. |
![Archimedes Book of Lemmas Proposition 7](../problem/p646_archimedes_lemma_07_1.jpg) |
Geometry Problem 646.
Archimedes Book of Lemmas: Proposition 7
Square,Inscribed and Circumscribed Circles, Area. |
![Archimedes Book of Lemmas Proposition 6](../problem/p645_archimedes_lemma_06_1.jpg) |
Geometry Problem 645.
Archimedes Book of Lemmas: Proposition 6
Semicircle, Circle, Perpendicular, Arbelos, Inscribed Circle. |
![Archimedes Book of Lemmas Proposition 5](../problem/p644_archimedes_lemma_05_1.jpg) |
Geometry Problem
644.
Archimedes Book of Lemmas: Proposition 5
Semicircle, Circle, Perpendicular, Arbelos, Archimedean
Twins. |
![Archimedes Book of Lemmas Proposition 4](../problem/p643_archimedes_lemma_04_1.jpg) |
Geometry Problem 643.
Archimedes Book of Lemmas: Proposition 4
Semicircle, Circle, Perpendicular, Arbelos, Area. |
![Archimedes Book of Lemmas Proposition 4](../math_geometry_online_courses/arbelos_definition_1.jpg) |
Arbelos Definition by Archimedes
Three Semicircles, Tangent,
Diameters.
|
![Archimedes Book of Lemmas Proposition 3](../problem/p642_archimedes_lemma_03_1.jpg) |
Geometry Problem 642.
Archimedes Book of Lemmas: Proposition 3
Semicircle, Perpendicular, Arc, Midpoint, Congruence. |
![Archimedes Book of Lemmas Proposition 2](../problem/p641_archimedes_lemma_02_1.jpg) |
Geometry Problem 641.
Archimedes Book of Lemmas: Proposition 2
Semicircle, Tangent, Perpendicular, Midpoint. |
![Archimedes Book of Lemmas Proposition 1](../problem/p640_archimedes_lemma_01_1.jpg) |
Geometry Problem 640.
Archimedes Book of Lemmas: Proposition 1
Tangent circles and parallel diameters |
![Semicircle, Perpendicular, Inscribed Circle, Tangent, Congruence](../problem/p639_arbelos_circle_1.jpg) |
Geometry Problem 639
Semicircle, Diameter, Perpendicular, Inscribed Circle, Tangent, Arbelos, Congruence. |
![Perpendicular Bisector Index](../math_geometry_online_courses/perpendicular_bisector_i_1.jpg) |
Perpendicular
Bisector. |
![Arbelos, Circle, Concyclic Points](../problem/p638_arbelos_circle_1.jpg) |
Geometry Problem 638
Arbelos and Inscribed Circle: Concyclic Points. |
![Semicircle, Perpendicular, Inscribed Circle, Tangent, Chord](../problem/p637_arbelos_circle_1.jpg) |
Geometry Problem 637
Semicircle, Diameter, Perpendicular, Inscribed Circle, Chord, Tangent, Arbelos. |
![Semicircle, Perpendicular, Inscribed Circle, Tangent](../problem/p636_tangent_circle_1.jpg) |
Geometry Problem 636
Semicircle, Diameter, Perpendicular, Inscribed Circle, Common Tangent. |
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