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Plane Geometry: Open Problems, High School, College
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Open Geometry Problems - Index 3
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Geometry Problem 1139.
Post a solution Triangle, Circumcircle, Angle Bisector, Parallel Lines, 90 Degrees, Concurrent Lines. |
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Geometry Problem 1137.
Post a solution Triangle, Circumcircle, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles. |
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Geometry Problem 1134.
Post a solution Tangent Circles, Tangent Line, Triangle, Circumcircle, Circumcenter. |
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Geometry Problem 1127.
Post a solution Triangle, Circumcircle, Tangent, Circle, Diameter, Midpoint, Perpendicular, 90 Degrees. |
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Geometry Problem 1125.
Post a solution Triangle, Four Equilateral Triangles, Centroid, Midpoint. |
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Geometry Problem 1122.
Post a solution Triangle, 90 Degree, Perpendicular Lines, Orthocenter, Altitude, Midpoint, Collinear Points.
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Geometry Problem
1119.
Post a solution Quadrilateral, Similar Triangles, Midpoints, Equal Ratio, Angles. |
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Geometry Problem
724.
Post
a solution
Circumscribed Quadrilateral, Circle, Angle, Incenter, Half
the Measure. |
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Geometry Problem
1105.
Post a solution Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean. |
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Geometry Problem
1099.
Post a solution
Four Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations,
Sangaku Japanese Geometry. |
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Geometry Problem
1071.
Post a solution
Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, 90 Degrees,
Midpoint. |
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Geometry Problem
1068.
Post a solution
Obtuse Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter |
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Geometry Problem
1066.
Post a solution
Triangle, Obtuse Angle, Orthocenter, Circumradius R, Inradius r, Exradius
ra, Distance, Diameter. |
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Geometry Problem
1051.
Post a solution
Triangle, Square, Semicircle, Arc, Area. |
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Geometry Problem
1024.
Post a solution
Contact, Gergonne Triangle, Point on an arc of Incircle, Perpendicular, Distances. |
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Geometry Problem
1012.
Post a solution
Equilateral Triangle, Incenters, Inscribed Circles, Perpendicular, Concurrent Lines. |
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Geometry Problem
1008.
Post a solution
Three Equal Tangent Circles, Sum of Tangent Lines, Tangency Points. |
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Geometry Problem
1007.
Post a solution
Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency. |
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Geometry Problem 991.
Post a solution
Triangle, Incircle, Tangency Points, Isosceles, Midpoint, Collinearity, Congruence, Circle. |
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Geometry Problem 990.
Post a solution
Triangle, Incircle, Median, Cevian, Central Angle, Congruence, Circle, Secant, Midpoint,
Parallel. |
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Geometry Problem 988.
Post a solution
Right Triangle, Cevians, Angles, 30 Degrees, Triple Angle. |
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Geometry Problem 987.
Post a solution
Triangle, Circumcircle, Incenter, Chord, Parallel, Circle, Tangent. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
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Geometry Problem 974.
Post a solution
'Begonia Theorem', Cevian Triangle, Reflection of a point in a line, Concurrency of Lines. GeoGebra, HTML5 Animation for Tablets. |
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By Antonio Gutierrez
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