Geometry Theorems and Problems - Recent Additions (Page
7 of 15)
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Circular Segment. Index.
Theorems and Problems.
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Geometry Problem 988.
Right Triangle, Cevians, Angles, 30 Degrees, Triple Angle. |
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Geometry Problem 987.
Triangle, Circumcircle, Incenter, Chord, Parallel, Circle, Tangent. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
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Geometry Problem 986.
Triangle, Median, Midpoint, Equal Angles, 45 Degrees. |
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Geometry Problem 985.
Circle, Radius, Perpendicular, Concentric Circles, Congruence, Triangle. |
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Geometry Problem 984.
Triangle, Circumcircle, Altitudes, Midpoint, Collinear Points. |
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Geometry Problem 983.
Regular Hexagon, A point and six triangles, Areas. |
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Geometry Problem 982.
Triangle, Excenters, Excentral Triangle, Circumcenter, Area, Hexagon. |
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Geometry Problem 981.
Triangle, Concurrent Cevians, Midpoints, Area, Hexagon. |
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Geometry Problems
971 - 980.
Equilateral Triangle, Rectangle, Circle, Parallel, Reflection, Concurrency, Paallelogram, Orthocenter, Circumcenter. |
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Geometry Problem 980.
Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Construction. |
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Geometry Problem 979.
Triangle, Cevian, Angle Bisector, Concurrency, 90 Degrees, Perpendicular. |
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Geometry Problem 978.
Parallelogram, Diagonal, Transversal, Similarity, Metric Relations. |
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Geometry Problem 977.
Acute Triangle, Circumcenter, Orthocenter, Distance, Circumradius, Altitude, Metric Relations. |
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Geometry Problem 976.
Isosceles Right Triangle, 45 Degrees, Incenter, Angle Bisector, Hypotenuse. |
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Geometry Problem 975.
Isosceles Right Triangle, 45 Degrees, Angle Bisector, Hypotenuse. |
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Geometry Problem 974.
'Begonia Theorem', Cevian Triangle, Reflection of a point in a line, Concurrency of Lines. GeoGebra, HTML5 Animation for Tablets. |
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Geometry Problem 973.
Three Parallel, Square, Vertices, Distance Between Two Parallel Lines, Side, Metric Relations. |
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Geometry Problem 972.
Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Perpendicular Bisector. |
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Geometry Problem 971.
Equilateral Triangle, Rectangle, Common Vertex, Sum of Right Triangles Areas. |
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Geometry Problem 970.
Equilateral Triangle, Circumcircle, Secant, Metric Relations. |
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Geometry Problem 969.
Equilateral Triangle, Rectangle, Common Vertex, Right Triangles Areas. |
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Geometry Problem 968.
Equilateral Triangle, Rectangle, Common Vertex, Midpoint. |
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Geometry Problem 967.
Three Equilateral Triangles, Midpoints. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
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Geometry Problem 966.
Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Collinear Points. |
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Geometry Problem 965.
Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Metric Relations. |
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Geometry Problem 964.
Right Triangle, Cevians, Angles, 10, 20, 30 Degrees. |
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Geometry Problem 963.
Right Triangle, 30-60-90 Degrees, Angle Bisectors, Metric Relations. |
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Geometry Problem 962.
Triangle, Two Cevians, Areas, Equal Products. |
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Geometry Problem 961.
Quadrilateral, Trisection, Sides, Sum of Areas. |
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Geometry Problem 960.
Quadrilateral, Trisection, Sides, Congruence, Similarity, Triangle. |
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Geometry Problem 959.
Triangle, Sides Ratio 4:1, Inradius, Exradius, Cevian, Mean Proportional, Geometric Mean, Metric Relations. |
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Geometry Problem 958.
Isosceles Triangle, Altitude, 45 Degrees, Perpendicular, Angle Bisector, Metric Relations. |
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Geometry Problem 957.
Equilateral Triangle, Inscribed Circle, Incircle, Circumscribed Circle, Circumcircle, Area, Circular Segment. |
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Geometry Problem 956.
Two Equilateral Triangles, Center, Collinear Points, Midpoint, Right Triangle, 30, 60, 90 Degrees. |
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Geometry Problem 955.
Quadrilateral, Triangle, Diagonals, Triangle, Angles, 30, 40, 60, 70 Degrees. |
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Geometry Problem 954.
Intersecting Circles, Secant, Common Chord, Cyclic Quadrilateral, Angle Bisector. |
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Geometry Problem 953.
Intersecting Circles, Secant, Common Chord, Cyclic Quadrilateral, Perpendicular. |
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Geometry Problem 952.
Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points. |
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Geometry Problem 951.
Intersecting Circles, Chord, Diameter, Parallel, Cyclic Quadrilateral, Concyclic Points. |
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Geometry Problem 950.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. |
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Geometry Problem 949.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. |
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Geometry Problem 948.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. |
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Geometry Problem 947.
Triangle, Circumcircle, Angle Bisector, Chord, Arc, Parallel. |
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Geometry Problem 946.
Triangle, Quadrilateral, Area, Diagonal, Midpoint, Parallel. |
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Geometry Problems
891 - 900.
Triangle, Circle, Parallelogram, Trapezoid, Congruence, Similarity, Metric Relations, Incircle, Rectangle, Square |
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Geometry Problem 945.
Triangle, Concurrent Lines, Cevians, Perpendicular, Angle Bisector. |
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Geometry Problem 944.
Triangle, Orthocenter, Altitude, Perpendicular, 90 Degrees, Parallel Lines. |
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Geometry Problem 943.
Triangle, Incircle, Inscribed Circle, Tangency Points, Parallel, Metric Relations. |
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Geometry Problem 942.
Triangle, Circles, Circumcircle, Sagitta, Incircle, Excircle, Inradius, Exradius, Metric Relations. |
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Geometry Problem 941.
Circles Tangent Externally, Tangent, Secant, Proportion, Angle. |
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Geometry Problem 940.
Circle, Tangent, Secant, Chord, Parallel, Perpendicular, 90 Degrees, Midpoint. |
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Geometry Problem 939.
Circle, Tangent, Secant, Chord, Parallel, Midpoint. |
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Geometry Problem 938.
Cyclic Quadrilateral, Triangle, Circumcircle, Circles, Circumcenter, Circumradius, Distance, Metric Relations.
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Geometry Problem 937.
Triangle, Circumcircle, Circles, Tangent, Sides, Midpoint.
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Geometry Problem 936.
Circle, Semicircle, Diameter, Tangent, Radius, Chord, Metric Relations.
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Geometry Problem 935.
Square, Circle, Center, Perpendicular, Metric Relations.
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Geometry Problem 934.
Square, Circle, Center, Perpendicular, Metric Relations.
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Geometry Problem 933.
Square, Center, Transversal, Perpendicular, Metric Relations, Congruence.
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Geometry Problem 932.
Square, Midpoint, Diagonal, Ratio 3:1, Angle Measure, Congruence.
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Geometry Problem 931.
Square, Circle, Semicircle, Diameter, Triangle, Angle, Metric Relations.
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Dynamic Geometry: Exeter Point Triangle, Median, Circumcircle, Concurrent Lines, Euler Line, GeoGebra, HTML5 Animation for Tablets.
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Geometry Problem 930.
Acute Triangle, Altitudes, Circles, Diameter, Angle, Measure.
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Geometry Problem 929.
Triangle, Orthocenter, Circumcircle, Reflection, Concurrency.
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Geometry Problem 928.
Triangle, Midpoint, Median, Cevian, Concurrency, Area.
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Geometry Problem 927.
Semicircle, Diameter, Radius, Equal Arcs, Chord, Congruence.
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Geometry Problem 926.
Two Equilateral Triangles, Midpoint, Perpendicular, Metric Relations.
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Geometry Problem 925.
Cyclic Quadrilateral, Diagonal, Circle, Angle Bisector, Parallel.
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Geometry Problem 924.
Quadrilateral, Diagonal, Perpendicular, Circle, Tangent, Midpoint, Metric Relations.
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Geometry Problem 923.
Quadrilateral, Quadrangle, Obtuse Angle, Triangle, Diagonal, Inequality, Length.
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Geometry Problem 922.
Circle, Tangent Lines, Tangency Points, Chord, Secant, Harmonic Mean.
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Geometry Problem 921.
Right Triangle, Circumcircle, Arc, Midpoint, Tangency Point, Incircle.
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Geometry Problem 920.
Triangle, Angles, 10, 20 Degrees, Congruence.
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Geometry Problem 919.
Rhombus, Triangle, Perpendicular, 90 Degrees, Congruence.
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Geometry Problem 918.
Triangle, Incenter, Incircle, Angle Bisector, Perpendicular, Metric Relations.
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Geometry Problem 917.
Triangle, Congruence, Midpoints, Angle Bisector, Perpendicular.
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Geometry Problem 916.
Cyclic Quadrilateral, Three Circles, Diameter, Congruence.
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Geometry Problem 915.
Triangle, Intersecting Circles, Concyclic Points, Cyclic Quadrilateral.
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Geometry Problem 914.
Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint.
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Geometry Problem 913.
Right Triangle, Double Angle, Triple Angle, Metric Relations.
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Geometry Problem 912.
Right Triangle, Double Angle, Triple Angle, Perpendicular Lines.
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Geometry Problem 911.
Right Triangle, Double Angle, Triple Angle, Concyclic Points, Cyclic Quadrilateral.
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Geometry Problem 910.
Bicentric Quadrilateral, Distance between the Incenter and Circumcenter, Incircle, Circumcircle, Circumscribed, Inscribed, Circumradius.
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Geometry Problem 909.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius,
Distance.
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Geometry Problem 908.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.
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Geometry Problem 907.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.
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Geometry Problem 906.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Perpendicular.
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Geometry Problem 905: Lester Circle Theorem.
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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) |
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Geometry Problem 903: First Fermat Point.
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Geometry Problems
881 - 890.
Triangle, Circle, Parallelogram, Trapezoid, Congruence, Similarity, Metric Relations, Incircle, Rectangle, Square |
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Static Diagram of problem 902
Dynamic Geometry Problem
902
Triangle, Four Squares, Center, Concurrent Lines.
GeoGebra, HTML5 Animation for Tablets
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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
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Geometry Problem
900
Intersecting Circles, Common External Tangent, Secant, Angle, Congruence.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 899
Intersecting Circles, Common External Tangent, Secant, Concyclic Points, Cyclic Quadrilateral.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 898
Intersecting Circles, Common External Tangent, Secant, Circumcenter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 897
Intersecting Circles, Common External Tangent, Secant, Congruence.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 896
Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 895
Triangle, Incircle, Tangency Points, Parallel line, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 894
Triangle, Angle, 60 degrees, Incenter, Midpoint, Parallel Lines.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 893
Triangle, Circumcircle, Incenter, Circle, Tangent, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 892
Triangle, 60 degrees, Orthocenter, Circumcenter. |
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Geometry Problem 891
Equiangular Octagon, Metric Relations, Sides, Auxiliary Lines. |
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Geometry Problem 890
Two Squares inscribed in Circles, Concurrent Lines. GeoGebra, HTML5 Animation for Tablets. |
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Geometry Problem 889
Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets. |
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Geometry Problems
871 - 880.
Triangle, Circle, Parallelogram, Trapezoid, Congruence, Similarity, Metric Relations, Incircle, Rectangle, Square |
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Geometry Problem 888
Butterfly Theorem, Circle, Chord, Midpoint. GeoGebra, HTML5 Animation for Tablets. |
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Geometry Problem 887
Triangle, Altitude, Angle Bisector, Perpendicular, Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets. |
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Geometry Problem 886
Right Triangle, Incenter, Angle Bisector, Perpendicular, 45 Degrees, Concyclic Points, Isosceles Right Triangle. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).. |
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Geometry Problem 885
Intersecting Circles, Three Tangent Lines, Midpoint. |
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Geometry Problem 884: The Pythagorean Curiosity
Right
Triangles and squares, fifteen conclusions. |
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Geometry Problem 883
Five Circumscribed Quadrilaterals, Circle, Tangent, Common Tangent. |
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Geometry Problem 882
Triangle, Angle x, 2x, 7x, Cevian, Congruence, Auxiliary Lines. |
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Geometry Problem 881
Triangle, three Squares, Centers, Areas. |
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Geometry Problem 880
Triangle, Midpoints, Sides, Perpendiculars, Hexagon, Area. |
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Geometry Problem 879
Square, Midpoint, Diagonal, Ratio 3:1, Angle Measure. |
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Geometry Problem 878
Square, Inscribed Circle, Quadrant, Center, Perpendicular, Metric Relations. |
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Geometry Problem 877
Square, Right Triangle, Similarity, Metric Relations, Transversal. |
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Geometry Problem 876
Equilateral Triangle, any Point, Perpendicular, Right Triangle Area, Sum of Areas. |
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Geometry Problem 875
Congruent Circles, Intersecting Circles, Secant, Center, Angle Trisection, Triple Angle. |
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Geometry Problem 874
Isosceles Triangle, Circumcircle, Circumcenter, Congruence. |
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Geometry Problem 873
Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence. |
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Geometry Problem 872
Quadrilateral, Triangle, Angle, 30, 90 degrees. |
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Cyclic Quadrilateral with Perpendicular Diagonals.
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Geometry Problem 871
Brahmagupta's Theorem, Cyclic Quadrilateral, Perpendicular Diagonals, Midpoint. |
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Geometry Problem 870
Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint. |
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Geometry Problem 869
Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint. |
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Geometry Problem 868
Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence. |
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GeoGebra, Dynamic Geometry:
Internal Feuerbach Point
HTML5 Animation for Tablets (iPad, Nexus..) |
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Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence. |
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Geometry Problem 866
Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees. |
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Geometry Problem 865
Parallelogram, Diagonal, Midpoint, Side, Triangle, Parallel, Similarity. |
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Geometry Problem 864
Parallelogram, Diagonal, Congruence, Similarity, Metric Relations. |
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GeoGebra, Dynamic Geometry:
Nine Point Circle
HTML5 Animation for Tablets (iPad, Nexus..) |
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GeoGebra, Dynamic Geometry:
Lemoine Line
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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GeoGebra, Dynamic Geometry:
Simson Line
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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GeoGebra, Dynamic Geometry:
Euler Line
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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Geometry Problem 863
Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations. |
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Geometry Problem 862:
Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square
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GeoGebra Constructions Index
HTML5 Animation for Tablets (iPad, Nexus..) |
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Geometry Problem 861
Triangle, Incircle, Parallel, Tangent, Metric Relations. |
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GeoGebra, Dynamic Geometry: Circumcenter and Circumcircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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GeoGebra, Dynamic Geometry:
Centroid
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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GeoGebra, Dynamic Geometry: Incenter and Incircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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Root
Mean Square (RMS) in Geometry Index
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Geometry Art Problems for Desktops, High-end mobile devices and Tablets (iPad,
Nexus)
Visual Index. |
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GeoGebra, Dynamic Geometry:
Orthocenter
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence. |
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Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.
Circumcenter, Centroid, Orthocenter
HTML5 Animation for iPad and Nexus
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Lemoine Line Theorem,
Interactive illustration.
HTML5 Animation for iPad and Nexus |
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Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector. |
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Gergonne Point Theorem. Concurrency.
Interactive proof with animation.
HTML5 Animation for Tablets (iPad, Nexus)
Adobe Flash Animation |
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Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines. |
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Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines. |
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Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
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Platonic
Solids, Interactive animation.
HTML5 Animation for iPad and Nexus |
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Johnson's Theorem,
Intersecting circles.
HTML5 Animation |
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Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
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Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines. |
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Geometry Problem 853
Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations. |
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Geometry Problem 852
Triangle, Incircle, Inradius, Tangent, Metric Relations. |
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Geometry Problem 851
Triangle, Triple side, Angles, 90 Degrees, Special Right triangle, Sides ratio 1:3. |
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Geometry Problem 850
Triangle, Double side, Angles, 90 Degrees. Special Right triangle. |
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Geometry Problem 849
Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle. |
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Geometry Problem 848
Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle. |
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iPad Apps: Apollonius Software. Feuerbach Point. Triangle, Incircle, Nine point circle, Tangent circles, Orthocenter, Midpoint.
Interactive Geometry Software for iPad. |
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Geometry Designer
for iPad, iPhone, iPod - Index
Dynamic Geometry.
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Geometry Problem 847
van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points. |
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iPad Apps, Geometry Designer Illustration. Circle of van Lamoen.
Interactive Geometry Software for iPad, iPhone, iPod. |
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iPad Apps: Geometry Designer Illustration. Four Circles Theorem.
Interactive Geometry Software for iPad, iPhone, iPod. |
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Geometry Problem 846
Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity. |
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Geometry Problem 845
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity. |
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Geometry Problem 844
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity. |
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Geometry Problem 843
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity. |
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Geometry Problem 842
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity. |
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Geometry Problem 841
Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity. |
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van Lamoen Circle - Index. |
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Geometry Problem 840
Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity. |
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Geometry Problem 839
Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations. |
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Geometry Problem 838
Parallelogram, Perpendicular, Diagonal, Metric Relations. |
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Geometry Problem 837
Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points. |
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Geometry Problem 836
Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations. |
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Geometry Problem 835
Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines. |
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Prezi Presentation: A Geometry Course by Mark Vasicek
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Geometry Problem 834
Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional. |
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Mean in Geometry.
Index. |
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Geometry Problem 833
Parallelogram, Diagonal, Similarity, Proportion. |
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Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle. |
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Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram. |
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Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence. |
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Geometry Problem 829
Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations. |
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Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian. |
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Geometry Problem 827: Brianchon Corollary
Circumscribed Hexagon, Tangency Points, Diagonal, Opposite Sides, Concurrent lines. |
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Geometry Problem 826: Brianchon's Theorem
Circumscribed Hexagon, Concurrent Diagonals. |
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Geometry Problem 825.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. |
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Geometry Problem 824
Desargues' Theorem, Triangles in Perspective. |
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Geometry Problem 823.
Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point. |
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Circle Area.
Index.
Theorems and Problems.
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Geometry Problem 822.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. |
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Geometry Problem 821.
Adams Circle. |
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Geometry Problem 820.
Triangle, Cevian, Angles, 30 Degrees. |
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Geometry Problems
811 - 820.
Triangle, Circle, Quadrilateral, Square, Pitot Theorem, Arbelos, Tangent, 30 Degrees. |
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Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees. |
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Geometry Problem 818.
Square, Triangle, Angle. |
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Geometry Problem 817. Two
circles, Tangent Lines, Circumscribed Quadrilaterals. |
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Geometry Problem 816. Tangential or Circumscribed Quadrilateral: Pitot Theorem. |
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Geometry Problem
815.
Triangle, Incircle, Semicircles, Arbelos, Area. |
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Geometry Problem
814.
Two Equilateral Triangles with a common Vertex, Angle. |
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Geometry Problem
813.
Right Triangle Area, Excircles, Cathetus, Tangency Points, Quadrilateral Area. |
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Geometry Problem
812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers. |
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Geometry Problem
811: Trisecting a line segment.
With four circles and one line. |
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Geometry Problem
810: Trisecting a line segment.
With two circles and eight lines. |
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Geometry Problem
809: Trisecting a line segment.
With three circles and four lines. |
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Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter. |
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Geometry Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area. |
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Lines. Theorems and Problems. |
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Trisecting a Line Segment.
Theorems and Problems |
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Geometry Problem 806
Triangle, Points on sides, Circumcenter, Similarity. |
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Area of a Right Triangle, Theorems and Problems. |
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iPad Apps: Apollonius Software. Problem 794: Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.
Interactive Geometry Software. |
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Geometry Problem 805, Stewart Theorem
Triangle, sides and a cevian.
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iPad Apps: Apollonius, Interactive Geometry Software IGS Index.
Theorems and Problems with Apollonius for iPad. |
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Geometry Problem
804
Circle, Chord, Midpoints. |
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Geometry Problem
803
Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement. |
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Geoboard
for iPad Pythagorean Theorem Proof by Leonardo. |
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Polygon definition
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Geoboard
for iPad Gallery: Squares inscribed in squares. Midpoints of the sides, Sequence, Recursive Form, Areas |
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Geoboard
for iPad Gallery: Triangle with two squares (Problem 496). |
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Geoboard
for iPad Gallery: Six squares with a common vertex. |
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Triangle definition
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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 |
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Geoboard
for iPad Pythagorean Theorem Proof, Squares (Problem 540). |
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Geometry Problem
802
Scalene Triangle, Median, Perpendicular, Angle, Measurement. |
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Geometry Problem
801
Equilateral Triangles, Cevian, Midpoint, Distance, Measurement, Metric Relations. |
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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. |
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Geometry Problem 799
Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter. |
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Geometry Problem 798
Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle. |
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Geometry Problem 797
Parallelogram, Angle Bisector, Isosceles and Similar Triangles. |
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Geometry Problem 796
Triangle, Altitude, Measurement of Angles. |
|
Geometry Problem 795
Intersecting Circles, Common Chord, Midpoint, Tangent, Secant Line, Perpendicular, 90 Degrees. |
|
Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence. |
|
Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance. |
|
Geometry Problem 792
Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles. |
|
Geometry Problem 791
Regular Hexagon, Midpoints of Side and Diagonal, Equilateral Triangle, Area. |
|
Geometry Problem 790
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence. |
|
Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line. |
|
Geometry Problem 788
Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral. |
|
Right triangle, Altitude, Incircle
Right Triangle, Altitude to the Hypotenuse, Incircle, Incenter, Inradius, Angle Bisector, Theorems and Problems, Index. |
|
Geometry Problem 787
Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations. |
|
Geometry Problem 786
Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio, Metric relations. |
|
Geometry Problem 785
Equilateral
Triangle, Parallel, Perpendicular. |
|
Geometry Problem 784
Triangle, Orthocenter, Altitude, Midpoint of a side, Perpendicular. |
|
Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint. |
|
Geometry Problem 782
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram. |
|
Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular. |
|
Geometry Problem 780
Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices. |
|
Geometry Problem 779
Triangle, Altitude, Orthocenter, Midpoint, Angle, 90 Degrees. |
|
Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square. |
|
Geometry Problem 777
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine. |
|
Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint. |
|
Geometry Problem 775
Triangle, Isogonal lines, Congruent angles, Perpendicular, Metric Relations. |
|
Geometry Problem 774
Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel. |
|
Geometry Problem 773
Intersecting Circles, Midpoint, Secant line, Bisection. |
|
Geometry Problem 772
Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations. |
|
Geometry Problem 771
Area of a Parallelogram, Star, Pentagon, Triangles. |
|
Geometry Problem 770
Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement. |
|
Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence. |
|
Geometry Problem 768
Parallelogram with Equilateral Triangles on Sides. |
|
Geometry Problem 767
Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant. |
|
Geometry Problem 766
Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean. |
|
Geometry Problem 765
Triangle, Inradius, Exradii, Three Exradius, Harmonic Mean. |
|
Geometry Problem 764
Triangle, Inradius, Altitudes, Harmonic Mean. |
|
Geometry Problem 763
Parallelogram, Diagonal, Parallel, Congruence. |
|
Geometry Problem 762
Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle. |
|
Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle. |
|
Geometry Problem 760
Isosceles Triangle, Circle, Diameter, Altitude, Chord, Metric relations. |
|
Geometry Problem 759
Equilateral Triangle, Transversal, Trisection of sides, Congruence, Angle. |
|
Geometry Problem 758
Equilateral Triangle, Cevians, Trisection of sides, Congruence, Perpendicular, 90 Degrees. |
|
Geometry Problem 757
Equilateral Triangle, Circumcircle, Chords, a Half of Harmonic Mean. |
|
iPad Apps: Apollonius Software. Four Circles Theorem.
Interactive Geometry Software |
|
Geometry Problem 756: Four Circles Theorem
Using TracenPoche Interactive Dynamic Software.
Step-by-Step construction, Manipulation, and animation. |
|
Geometry Problem 755.
Equilateral Triangle, Circumcircle, Chord, Arc, Midpoints, Perpendicular. |
|
Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter. |
|
Geometry Problem
753.
Triangle, Altitudes, Orthocenter, Sum of ratios. |
|
Geometry Problem
752.
Square, Circle, Tangent, Chord, Angle. |
|
Geometry Problem
751.
Parallelogram, Congruence, Intersecting Lines, Angle Bisector. |
|
Geometry Problem
750.
Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity, Metric Relations. |
|
Geometry Problems
741 -
750.
Triangle, Circle, Quadrilateral, Parallelogram, Trapezoid, Incenter, Circumradius, Parallel, Perpendicular, Orthocenter, Centroid, Similarity, Congruence. |
|
Geometry Problem
749.
Triangle, Rhombus, Parallel, Harmonic Means, Metric Relations. |
|
Geometry Problem
748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Complete
Quadrilateral, Metric Relations. |
|
Geometry Problem
747.
Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity, Harmonic Mean, Metric Relations. |
|
Geometry Problem
746.
Triangle, Cevian, Parallel, Similarity, Harmonic Mean, Metric Relations. |
|
Geometry Problem
745.
Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric Relations. |
|
Geometry Problem
744.
Parallelogram, Circle, Diameter, Chord, Congruence, Triangle, Metric Relations. |
|
Harmonic Mean. |
|
Geometry Problem
743.
Trapezoid, Triangle, Perpendicular, Parallel, Angle. |
|
Parallel
Chords.
Index.
Theorems and Problems.
|
|
Geometry Problem
742.
Scalene Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint, Distance, Square, Metric Relations. |
|
Geometry Problem
741.
Scalene Triangle, Incenter, Circumcircle, Midpoint, Arc, Congruence. |
|
Top Stadiums in the
World by Capacity. |
|
Geometry Problem
740.
Scalene Triangle, Angle, Semi-sum, Cevian, Isosceles Triangle. |
|
Triangle with Double Angle, Theorems and Problems, Index
|
|
Geometry Problem
739.
Triangle, Double Angle, External Angle Bisector. Congruence. |
|
Common Chord to two circles.
Theorems and Problems. |
|
Geometry Problem
738.
Intersecting Circles, External Common Tangent, Common Chord, Secant, Circumcircle, Cyclic Quadrilateral, Concyclic Points. |
|
Circle Inscribed in a Square, Theorems and Problems.
Index. |
|
Geometry Problems
731 -
740.
Triangle, Circle, Quadrilateral, Parallelogram, Circumcircle, Angle Bisector, Semi-sum, Isosceles, Orthocenter, Orthic, Perpendicular, Altitude, Congruence. |
|
Geometry Problem
737.
Cyclic Quadrilateral, Circumscribed Circle, Diameter, Tangent, Perpendicular. |
|
Circle Tangent Line.
Index.
Theorems and Problems.
|
|
Geometry Problem
736.
Triangle, Altitude, Perpendicular, Angles, Cyclic Quadrilateral. |
|
Top Stadiums in the
World by Capacity. |
|
Geometry Problem
735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence. |
|
Perpendicular Chords.
Index.
Theorems and Problems.
|
|
Geometry Problem
734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence, Midpoint. |
|
Geometry Problem
733.
Triangle, Orthocenter, Altitude, Reflection in a line, Circumcircle, Concurrency. |
|
Geometry Problem
732.
Triangle, Altitude, Orthic Triangle, Orthocenter, Congruence, Parallelogram. |
|
Geometry Problem
731.
Cyclic quadrilateral, Triangle, Orthocenter, Altitude, Perpendicular, Parallelogram. |
|
Geometry Problem
730.
Triangle, Altitude, Orthocenter, Perpendicular, Concurrent Lines. |
|
Geometry Problem
729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular, Midpoint. |
|
Geometry Problem
728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency. |
|
Geometry Problem
727.
Triangle, Isosceles, Congruence, Angles, Measurement. |
|
Geometry Problem
726.
Isosceles Triangle, Perpendicular, Midpoint, 90 Degrees. |
|
Geometry Problem
725.
Kurschak's Dodecagon, Square, Equilateral Triangle, Midpoints, 30, 60 Degrees. |
|
Geometry Problem
724.
Circumscribed Quadrilateral, Circle, Angle, Incenter, Half
the Measure. |
|
Geometry Problem
723.
Squares, Circumscribed Circles, Collinear points. |
|
Geometry Problem
722.
Squares, Circumscribed Circles, Collinear points. |
|
Geometry Problem
721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear points. |
|
Geometry Problem
720.
Excenter, Intersecting Circles, Angle, Measurement. |
|
Geometry Problem
719.
Incenter, Intersecting Circles, Angle, Measurement. |
|
Geometry Problem
718.
Intersecting Circles, Midpoint, Angle, Measurement. |
|
Geometry Problem
717.
Intersecting Circles, Midpoint, Angle, Measurement. |
|
Geometry Problem
716.
Problem 716. Intersecting Circles, Center, Radius, Perpendicular, 90 Degrees. |
|
Area of a Parallelogram.
Theorems and Problems Index. |
|
Geometry Problem
715.
Triangle, Altitudes, Parallel, Circumcircle, Angle, Measurement. |
|
Geometry Problem
714.
Triangle, Parallel, Cevians, Midpoints, Median, Ceva Theorem. |
|
Geometry Problem
713.
Tangent Circles, Diameter, Chord, Tangent, Incenter, Incircle, Triangle. |
|
Geometry Problem
712.
Semicircle, Diameter, Tangent, Perpendicular, Angle Measure. |
|
Geometry Problem
711.
Rectangle, Midpoint, Angle, Concyclic Points, Cyclic Quadrilateral. |
|
Geometry Problem
710.
Parallelogram, Midpoint, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence. |
|
Problem Solving Techniques, Interactive Mind Map.
|
|
Geometry Problem
709.
Parallelogram, Midpoint, Diagonal, Metric Relations, Triangle. |
|
Geometry Problem
708.
Circle, Tangent, Intersecting, Lune, Area, Diameter. |
|
Geometry Problem
707.
Triangle, Excenters, Excircles, Angle Bisectors, Angle, Measurement. |
|
Geometry Problem
706.
Triangle, Cevian, Three Circumcenters, Circumcircles, Concyclic Points, Cyclic quadrilateral. |
|
Geometry Problem
705.
Intersecting Circles, Diameter, Angles, Measurement. |
|
Geometry Problem
704.
Triangle, Orthocenter, Altitude, Midpoint, Perpendicular. |
|
Geometry Problem
703.
Triangle, Incircle, Tangency point, Diameter, Congruence. |
|
Geometry Problem
702.
Triangle, Circumcircle, Parallel, Concyclic Points. |
|
Geometry Problem
701.
Intersecting Circles, Diameter, Perpendicular, Angles, Congruence. |
|
Concyclic
Points.
|
|
Geometry Problem
700.
Equilateral Triangle, Circle, Circular Segment, Midpoint of a side, Metric Relations. |
|
Geometry Problem 699.
Equilateral Triangle, Circle, Circular Segment, Midpoint, Metric Relations. |
|
Geometry Problem 698.
Quadrilateral, Diagonal, Angle Bisector, Triangle, 120 Degrees. |
|
Geometry Problems 691 -
700.
Triangle, Quadrilateral, Circle, Metric Relations, Square, 30-60-120 Degrees, Area, Congruence. |
|
Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya. |
|
Geometry Problem 696.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya. |
|
Geometry Problem 695.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya. |
|
Geometry Problem 694.
Triangle, Angles, 30 Degrees, Auxiliary Construction, Mind Map, Polya. |
|
Geometry Problem 693.
Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya. |
|
Geometry Problem 692.
Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Polya. |
|
Geometry Problem 691.
Isosceles Triangle, 80-80-20 Degrees, Angles, Congruence, Mind Map, Polya. |
|
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.
Triangle, Circle, 60 Degrees, Incenter, Circumcenter, Orthocenter, Parallelogram, Metric Relations, Congruence, Similarity. |
|
Geometry Problem 689.
Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map. |
|
Geometry Problem 688.
Triangle, Angles, 10, 20, 30, 40, 60 Degrees, Measure, Mind Map, Polya. |
|
Geometry Problem 687.
Triangle, Three Excircles, Tangency points, Concurrent Lines. |
|
Geometry Problem 686.
Triangle, Three Excircles, Tangency points, Tangent lines, Semi-perimeter, Congruence. |
|
Geometry Problem 685
Isosceles Triangle, 100-40-40 Degrees, Angles, Congruence. |
|
Geometry Problem 684:
Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
|
Geometry Problem 683:
Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
|
Geometry Problem 682: Gergonne External Point.
Triangle, Excircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem. |
|
Geometry Problem 681:
Gergonne Point.
Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem. |
|
Geometry Problem 680.
Concentric Circles, Radii, Chords, Perpendicular, Metric Relations. |
|
100 Geometry Problems Collection
|
|
Geometry Problem 679.
Triangle, Circle, Median, Proportion. |
|
Geometry Problem 678.
Triangle, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points. |
|
Geometry Problem 677.
Parallelogram, Midpoint, Diagonal, Metric Relations. |
|
Geometry Problem 676.
Circles, Diameter, Tangent, Chord, Metric Relations. |
|
Geometry Problem 675.
Intersecting Circles, Secant, 45 and 90 Degrees, Collinear Points. |
|
Geometry Problem 674.
Triangle, Altitude, Angles. |
|
Geometry Problem 673.
Internally tangent circles, Chord, Tangent, Metric Relations. |
|
Geometry Problem 672.
Internally tangent circles, Chord, Tangent, Geometric Mean. |
|
Geometry Problem 671.
Triangle, Cevian, Angles, Congruence. |
|
Geometry Problem 670.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Congruence. |
|
Geometry Problem 669.
Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map. |
|
Geometry Problem 668.
Right triangle, Incircles, Parallel, Common Tangent, Mind Map. |
|
Geometry Problem 667.
Intersecting Circles, Secant, Tangent, Metric Relations, Mind Map. |
|
Geometry Problem 666.
Intersecting Circles, Secant, Tangent, Concyclic points, Mind Map. |
|
Geometry Problem 665.
Intersecting Circles, Secant, Tangent, Angles, Mind Map. |
|
Geometry Problem 664.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Angles,
Triangle centers. |
|
Geometry Problem 663.
Scalene Triangle, 60 Degrees, Altitude, Angle Bisector, Perpendicular Bisector,
Concurrent lines. |
|
Video solution: Problems 1-6 (Spanish version)
By Eder Contreras and Cristian Baeza, Chile. |
|
Geometry Problem 662.
Triangle, Incenter, Circumcenter, Orthocenter, Circle, Angle, Measurement. |
|
Geometry Problem 661.
Intersecting Circles, Centers, Secant, Parallelogram. |
|
Geometry Problem 660.
Triangle, Circle, Diameter, Perpendicular Lines. |
|
Geometry Problem 659.
Parallelogram, Parallel Lines, Collinear Points. |
|
Geometry Problem 658.
Triangle, Altitudes, Diameter, Circle, Angles. |
|
Geometry Definitions. |
|
Geometry Problem 657.
Triangle, Incircle, Tangency Points, Parallel Lines,
Congruence. |
|
Geometry Definitions. |
|
Geometry Problem 656.
Triangle, Cevian, Concurrent Lines. |
|
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 |
|
Geometry Problem 655.
Archimedes Book of Lemmas: Proposition 15
Circle, Inscribed Regular Pentagon, Radius. |
|
Semicircle.
Index.
Theorems and Problems.
|
|
Geometry Problem 654.
Archimedes Book of Lemmas: Proposition 14
Salinon, Semicircles, Diameter, Circle, Area. |
|
Geometry Problem 653.
Archimedes Book of Lemmas: Proposition 13
Circle, Chord, Perpendicular, Congruence. |
|
Geometry Problem 652.
Archimedes Book of Lemmas: Proposition 12
Perpendicular chords, Arcs, Radius. |
|
Geometry Problem 651.
Archimedes Book of Lemmas: Proposition 11
Perpendicular chords, Arcs, Radius. |
|
Geometry Problem 650.
Tangent Circles, Diameter, Radius, Chord, Perpendicular. |
|
Geometry Problem 649.
Archimedes Book of Lemmas: Proposition 10
Tangent, Chord, Parallel, Midpoint. |
|
Geometry Problem 648.
Archimedes Book of Lemmas: Proposition 9
Perpendicular chords, Arcs. |
|
Geometry Problem 647.
Archimedes Book of Lemmas: Proposition 8
Angle trisection. Neusis construction. |
|
Geometry Problem 646.
Archimedes Book of Lemmas: Proposition 7
Square,Inscribed and Circumscribed Circles, Area. |
|
Geometry Problem 645.
Archimedes Book of Lemmas: Proposition 6
Semicircle, Circle, Perpendicular, Arbelos, Inscribed Circle. |
|
Geometry Problem
644.
Archimedes Book of Lemmas: Proposition 5
Semicircle, Circle, Perpendicular, Arbelos, Archimedean
Twins. |
|
Geometry Problem 643.
Archimedes Book of Lemmas: Proposition 4
Semicircle, Circle, Perpendicular, Arbelos, Area. |
|
Arbelos Definition by Archimedes
Three Semicircles, Tangent,
Diameters.
|
|
Geometry Problem 642.
Archimedes Book of Lemmas: Proposition 3
Semicircle, Perpendicular, Arc, Midpoint, Congruence. |
|
Geometry Problem 641.
Archimedes Book of Lemmas: Proposition 2
Semicircle, Tangent, Perpendicular, Midpoint. |
|
Geometry Problem 640.
Archimedes Book of Lemmas: Proposition 1
Tangent circles and parallel diameters |
|
Geometry Problem 639
Semicircle, Diameter, Perpendicular, Inscribed Circle, Tangent, Arbelos, Congruence. |
|
Perpendicular
Bisector. |
|
Geometry Problem 638
Arbelos and Inscribed Circle: Concyclic Points. |
|
Geometry Problem 637
Semicircle, Diameter, Perpendicular, Inscribed Circle, Chord, Tangent, Arbelos. |
|
Geometry Problem 636
Semicircle, Diameter, Perpendicular, Inscribed Circle, Common Tangent. |
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