Geometry, Theorems and Problems

Geometry Theorems and Problems - Recent Additions (Page 4 of 15)

Euclidean Geometry

Geometry Problem 1119

Geometry Problem 1119.
Quadrilateral, Similar Triangles, Midpoints, Equal Ratio, Angles.

Geometry Problem 1118

Geometry Problem 1118.
Right Triangle, Angle Trisection, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1117

Geometry Problem 1117.
Right Triangle, Angle Trisection, 90 Degrees, Parallel Lines.

Geometry Problem 1116

Geometry Problem 1116.
Right Triangle, Angle Trisection, 90 Degrees, Perpendicular Lines.

Geometry Problem 1115

Geometry Problem 1115.
Right Triangle, Angle Trisection, Equilateral Triangle.

Geometry Problem 1114

Geometry Problem 1114.
Right Triangle, Angle Trisection, Isosceles, Congruence.

Geometry Problem 1113

Geometry Problem 1113.
Triangle, Perpendicular Bisector, 90 Degrees, Circle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1112

Geometry Problem 1112.
Triangle, Excenters, Circumcircle, Circle, Hexagon, Area.

Geometry Problem 1111

Geometry Problem 1111.
Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean.

Geometry Problem 1110

Geometry Problem 1110.
Right Triangle, External Squares, Catheti, Cathetus, Angle Bisector, 45 Degree, Internal Square.

Geometry Problem 1109

Geometry Problem 1109.
Right Triangle, External Squares, Catheti, Cathetus, 45 Degree, Angle.

Geometry Problem 1108

Geometry Problem 1108.
Right Triangle, External Squares, Catheti, Congruence, Harmonic Mean.

Geometry Problem 1107

Geometry Problem 1107.
Triangle, Circumcircle, Circle, Radius, Tangent, Chord, Congruence.

Geometry Problem 1106

Geometry Problem 1106.
Regular Hexagon, Congruence, Diagonal, Collinear Points.

Geometry Problem 1105

Geometry Problem 1105.
Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean.

Geometry Problem 1104

Geometry Problem 1104.
Right Triangle, Incircle, Circumcircle, Inscribed Circle, Radius, Tangent.

Geometry Problem 1103

Geometry Problem 1103.
Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations.

Geometry Problem 1102

Geometry Problem 1102.
Right Triangle, Incircle, Tangency Point, 90 Degree, Cathetus, Metric Relations.

Geometry Problem 1101

Geometry Problem 1101.
Triangle, Parallel Lines, Circle, Incircle, Inradius, Radius, Angle.

Geometry Problem 1100

Geometry Problem 1100.
Triangle, Circle, Centers, Vertex, Radius, Angle.

Geometry Problem 1099

Geometry Problem 1099.
Four Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations, Sangaku Japanese Geometry.

Geometry Problem 1098

Geometry Problem 1098.
Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations.

Geometry Problem 1097

Geometry Problem 1097.
Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area.

Geometry Problem 1096

Geometry Problem 1096.
Tangent Circles, Common Tangent, Chord, Radius, Center.

Geometry Problem 1095

Geometry Problem 1095.
Externally Tangent Circles, Common Tangent, Radius, Metric Relations.

Geometry Problem 1094

Geometry Problem 1094.
Tangent Circles, Tangent Chord, Radius, Sagitta of Arc.

Geometry Problem 1093

Geometry Problem 1093.
Square, Circle, Tangent, Radius, Side, Sangaku, Japanese Geometry Problem.

Geometry Problem 1092

Geometry Problem 1092.
Equilateral Triangle, Square, Circle, Tangent, 90 Degree, Sangaku.

Geometry Problem 1091

Geometry Problem 1091.
Square, Perpendicular, Distance, Area, Center.

Geometry Problem 1090

Geometry Problem 1090.
Circle, Diameters, Chord, Perpendicular, Metric Relations.

Geometry Problem 1089

Geometry Problem 1089.
Square, Semicircle, Tangent, Triangle, Area.

Geometry Problem 1088

Geometry Problem 1088.
Triangles, Perpendicular, Concurrent Lines.

Geometry Problem 1087

Geometry Problem 1087.
Tangent Circles, Parallel, 15 Degrees, Angle.

Geometry Problem 1086

Geometry Problem 1086.
Square, Circle, Arc, Center, Metric Relations.

Geometry Problem 1085

Geometry Problem 1085.
Intersecting Circles, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1084

Geometry Problem 1084.
Circle, Chord, Radius, Diameter, Parallel lines, 45 Degrees, Metric Relations.

Geometry Problem 1083

Geometry Problem 1083.
Semicircle, Diameter, Perpendicular, 90 Degrees, Tangent Line, Metric Relations.

Geometry Problem 1082

Geometry Problem 1082.
Square, Circle, Center, Radius, Side, Isosceles Triangle, 90 Degrees, Area.

Geometry Problem 1081

Geometry Problem 1081.
Equilateral Triangle, Inscribed Circle, Inradius, Tangent Circles, Radius, Tangent Line, Sangaku Japanese Problem.

Geometry Problem 1080

Geometry Problem 1080.
Square, Circle, Tangent, Side, Radius, Metric Relations.

Geometry Problem 1079

Geometry Problem 1079.
Quadrilateral, Isosceles Triangle, Diagonals, Double Angle.

Geometry Problem 1078

Geometry Problem 1078.
Square, Inscribed Circle, Tangent, Triangle, Area.

Geometry Problem 1077

Geometry Problem 1077.
Chain of Equal Tangent Circles, Circular Sector, Area, Sangaku, Sacred Geometry.

Geometry Problem 1076

Geometry Problem 1076.
Square, 45 Degrees, Angle, Sum, Distance.

Geometry Problem 1075

Geometry Problem 1075.
Quadrilateral, Right Triangle, 90 Degrees, Isosceles, Midpoint, Distance.

Geometry Problem 1074

Geometry Problem 1074.
Quadrilateral, Right Triangle, Angles, 15, 22,5, 30, 90 Degrees.

Geometry Problem 1073

Geometry Problem 1073.
Triangle, Altitudes, Exterior Point, Distance, Ratio.

Geometry Problem 1072

Geometry Problem 1072.
Triangle, Altitudes, Interior Point, Distance, Ratio.

Geometry Problem 1071

Geometry Problem 1071.
Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, 90 Degrees, Midpoint.

Geometry Problem 1070

Geometry Problem 1070.
Circle, Chord, Equilateral Triangle, Square, Rectangle, Area, Diameter, Perpendicular.

Geometry Problem 1069

Geometry Problem 1069.
Circle, Angles, Auxiliary Lines

Geometry Problem 1068

Geometry Problem 1068.
Obtuse Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter

Geometry Problem 1067

Geometry Problem 1067.
Acute Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter

Geometry Problem 1066

Geometry Problem 1066.
Triangle, Obtuse Angle, Orthocenter, Circumradius R, Inradius r, Exradius r
a, Distance, Diameter.

Geometry Problem 1065

Geometry Problem 1065.
Triangle, Acute Angle, Orthocenter, Circumradius R, Inradius r, Exradius r
a, Distance, Diameter.

Geometry Problem 1064

Geometry Problem 1064.
Triangle, Orthocenter, Altitudes, Circumradius, Sum of the Squares of Sides.

Geometry Problem 1063

Geometry Problem 1063.
Triangle, Orthocenter, Altitudes, Equal Product of the Lengths of Segments.

Geometry Problem 1062

Geometry Problem 1062.
Scalene Triangle with an angle of 60 degrees, Euler Line, Orthocenter, Circumcenter, Distance, Congruence, Transversal.

Geometry Problem 1061

Geometry Problem 1061.
Triangle, Inradius (r), Circumradius (R), Circumcircle, Angle Bisector, Distance from a point to a Line, Perpendicular.

Geometry Problem 1060

Geometry Problem 1060.
Triangle, Incircle, Incenter, Inscribed circle, Tangent, Angle.

Geometry Problem 1059

Geometry Problem 1059.
Triangle, Circumcircle, Orthocenter, Altitude, Perpendicular, Reflection of a Point over a Line, Collinear Points, Simson Line, Congruence.

Geometry Problem 1058

Geometry Problem 1058.
Triangle, Sum of the Areas, Altitude, Perpendicular, Circumcircle, Circle, Diameter.

van Aubel theorem for Tablets, iPad, Nexus, Galaxy

van Aubel's Theorem. Quadrilateral with Squares. Proof with animation for Tablets, iPad, Nexus, Galaxy.

Geometry Problem 1057

Geometry Problem 1057.
Triangle, Area, Circle with Perpendicular Diameters, Tangent, Secant.

Geometry Problem 1056

Geometry Problem 1056.
Triangle, Exradius, Reciprocals of the Altitudes, Multiplicative Inverse, Perpendicular, Excircle, Circle.

Geometry Problem 1055

Geometry Problem 1055.
Triangle, Altitude, Perpendicular, Area, Circumradius, Circle.

Geometry Problem 1054

Geometry Problem 1054.
Triangle, Altitude, Orthocenter, Circumcenter, Perpendicular, Midpoints.

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Home | SearchGeometry | Email | By Antonio Gutierrez
Jul 13, 2014