Machu Picchu, Geometry Theorems and Problems, Online Education

Geometry Theorems and Problems - Recent Additions (Page 5 of 15)

Euclidean Geometry

Butterfly theorem proof. HTML5 Animation for iPad and Nexus

Butterfly theorem proof
HTML5 Animation for iPad and Nexus.

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.

Geometry Problem 1053

Geometry Problem 1053.
Triangle, Two Perpendicular Medians, Midpoint, Congruence.

Geometry Problem 1052

Geometry Problem 1052.
Triangle, Quadrilateral, Three Circumcircles, Circle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1051

Geometry Problem 1051.
Triangle, Square, Semicircle, Arc, Area.

Geometry Problem 1050

Geometry Problem 1050.
Regular Hexagon, Center, Any Point, Inside, Outside, Distance, Metric Relations, Congruence.

Geometry Problem 1049

Geometry Problem 1049.
Hexagon inscribed, Circle, Circumcircle, Congruence, Angles.

Geometry Problem 1048

Geometry Problem 1048.
Circles, Tangent, Perpendicular, Diameter, Angle Bisector.

Geometry Problem 1047

Geometry Problem 1047.
Parallelogram, Parallel Lines, Concurrent Lines, Diagonals.

Geometry Problem 1046

Geometry Problem 1046.
Rectangle, Circle, Circumradius, Metric Relations.

Geometry Problem 1045

Geometry Problem 1045.
Quadrilateral, Diagonal, Triple Angle, Triangle, Congruence.

Geometry Problem 1044

Geometry Problem 1044.
Triangle, Parallelogram, Midpoint, Area.

Geometry Problem 1043

Geometry Problem 1043.
Right Triangle, Incenter, Excenter, Congruence, Metric Relations.

Geometry Problem 1042

Geometry Problem 1042.
Scalene Triangle, Isosceles, Equal Angles, Parallelogram, Congruence.

Geometry Problem 1041

Geometry Problem 1041.
Quadrilateral, Perpendicular, Diagonals, Congruence, Metric Relations.

Geometry Problem 1040

Geometry Problem 1040.
Isosceles Triangle, Transversal Line, Metric Relations.

Geometry Problem 1039

Geometry Problem 1039.
Isosceles Triangle, Circle, Tangent Line, Parallel Line.

Geometry Problem 1038

Geometry Problem 1038.
Isosceles Triangle, Angle, 80, 20, 25, 65 Degrees.

Geometry Problem 1037

Geometry Problem 1037.
Triangle, Three equal Incircles, Tangent lines, Inradius, Length.

Geometry Problem 1036

Geometry Problem 1036.
Triangle, Three equal Incircles, Tangent lines, Inradius, Equal Inradii.

Geometry Problem 1035

Geometry Problem 1035.
Triangle, Three equal Incircles, Tangent lines, Equivalent triangles, Equal area.

Geometry Problem 1034

Geometry Problem 1034.
Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter.

Geometry Problem 1033

Geometry Problem 1033.
Triangle, Angle Obtuse, Circumcircle, Diameter, Area.

Geometry Problem 1032 Apollonius LPP

Geometry Problem 1032: Apollonius Problem LPP.
Circle Tangent to One Line and passing through Two Points.

Geometry Problem 1031

Geometry Problem 1031.
Trapezoid, Intersecting Circles, Common Chord, Tangent Line, Midpoint, Parallel Lines.

Geometry Problem 1030

Geometry Problem 1030.
Quadrilateral, Triangle, Area, Midpoint, Parallel lines.

Geometry Problem 1029

Geometry Problem 1029.
Right Triangle, 90 Degrees, Angle, Midpoint, Congruence.

Geometry Problem 1028

Geometry Problem 1028.
Right Triangle, Double, Angle, Midpoint, Congruence.

Geometry Problem 1027

Geometry Problem 1027.
Triangle, Double, Quadruple, Angle, Congruence.

Brahmagupta's Theorem

Dynamic Geometry: Brahmagupta Theorem, . GeoGebra, HTML5 Animation for Tablets

Geometry Problem 1026

Geometry Problem 1026.
Right Triangle, 90 Degrees, Triple Angle, Congruence.

Geometry Problem 1025

Geometry Problem 1025.
Triangle, Double, Triple, Angle, Interior Point.

Geometry Problem 1024

Geometry Problem 1024.
Contact, Gergonne Triangle, Point on an arc of Incircle, Perpendicular, Distances.

Geometry Problem 1023

Geometry Problem 1023.
Triangle, Contact, Gergonne, Product of three distances.

Geometry Problem 1022

Geometry Problem 1022.
Circular Sector of 90 Degrees, Squares, Metric Relations.

Geometry Problem 1021

Geometry Problem 1021.
Triangle, Cevian, Double Angle, Sides.

Geometry Problem 1020

Geometry Problem 1020.
Circle, Tangent, Chord, Perpendicular, Geometric Mean.

Geometry Problem 1019

Geometry Problem 1019.
Circle, Diameter, Perpendicular, Chord, Tangent, Sum.

Geometry Problem 1018

Geometry Problem 1018.
Right Triangle, Circles, Angle.

Geometry Problem 1017

Geometry Problem 1017.
Square, Center, Midpoints, Circle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1016

Geometry Problem 1016.
Triangle, 45 Degrees, Area, Triangle, Quadrilateral, Altitude, Bisector.

Geometry Problem 1015

Geometry Problem 1015.
Right Triangle, Square, Altitude, Metric Relations.

Geometry Problem 1014

Geometry Problem 1014.
Square, Diagonal, 45 Degrees, Angle, Equal Areas, Triangle, Quadrilateral.

Geometry Problem 1013

Geometry Problem 1013.
Square, Line through the Center, Perpendicular, Distance, Metric Relations.

Geometry Problem 1012

Geometry Problem 1012.
Equilateral Triangle, Incenters, Inscribed Circles, Perpendicular, Concurrent Lines.

Geometry Problem 1011

Geometry Problem 1011.
Triangle, Angle Bisector, Vertex, Circle, Center, Radius, Parallel Lines.

Geometry Problem 1010

Geometry Problem 1010.
Regular Nonagon or Enneagon, Diagonals, Metric Relations.

Geometry Problem 1009

Geometry Problem 1009.
Tangent Circles, Common External Tangent, Common Internal Tangent, Arithmetic Mean.

Word Cloud: Newton's Principia, Preface

Word Cloud from the text of 'The Mathematical Principles of Natural Philosophy, the Author's Preface' by Isaac Newton
Newton asserts that he will use geometry to solve mechanical problems.

Geometry Problem 1008

Geometry Problem 1008.
Three Equal Tangent Circles, Sum of Tangent Lines, Tangency Points.

Geometry Problem 1007

Geometry Problem 1007.
Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency.

Geometry Problem 1006

Geometry Problem 1006.
Tangent Circles, Common External Tangent, Bicentric Trapezoid, Incenter, Circumcenter.

Geometry Problem 1005

Geometry Problem 1005.
Triangle, Circle, Circumcenter, Interior and Exterior Angle Bisector, 90 Degree, Perpendicular.

Geometry Problem 1004

Geometry Problem 1004.
Triangle with Squares, Perpendicular Bisectors, Concurrent Lines.

Geometry Problem 1003

Geometry Problem 1003.
Intersecting Circle, Circumcircle, Chord, Secant, Triangle, 90 Degree, Angle, Perpendicular Lines.

Geometry Problem 1002

Geometry Problem 1002.
Triangle, Circumcircle, Cevian, Parallel Lines, Cyclic Quadrilateral, Concyclic Points.

Geometry Problem 1001

Geometry Problem 1001.
Triangle, Circumcircle, Perpendicular, Perpendicular Bisector, Tangent, Collinear Points.

Geometry Problem 1000

Geometry Problem 1000.
Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Distance, Equilateral, Congruence, Perpendicular, Metric Relations.

Geometry Problem 999

Geometry Problem 999.
Right Triangle, Midpoint, Median, Double Angle, Congruence.

Geometry Problem 998

Geometry Problem 998.
Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Equilateral, Congruence.

Online Kaleidoscope: Geometry Problem Art 911 - 920

Kaleidoscope: Geometry Problem Art 911 - 920.
iPad apps: Kaleidoscope X.

Geometry Problem 997

Geometry Problem 997.
Equilateral Triangle, Vertices, Three Parallel Lines, Distance, Metric Relations.

Online education degree: geometry art 911-920

Geometry Art 911 - 920.
Circle, Diameter, Congruence, Cyclic Quadrilateral.

Geometry Problem 996

Geometry Problem 996.
Circle, Tangent, Congruence, Chord, Midpoint, Bisection.

Geometry Problem 995

Geometry Problem 995.
Quadrilateral, Perpendicular Diagonals, Perpendicular Bisector, Parallel.

Geometry Problem 994

Geometry Problem 994.
Trapezoid, Midpoints of the bases, Concurrent Lines.

Geometry Problem 993

Geometry Problem 993.
Intersecting Circles, Secant, Tangent, Concyclic Points, Cyclic Quadrilateral, Perpendicular.

Geometry Problem 992

Geometry Problem 992.
Triangle, Interior Point, Angles, 20, 30 , 40, 50 Degree.

Geometry Problem 991

Geometry Problem 991.
Triangle, Incircle, Tangency Points, Isosceles, Midpoint, Collinearity, Congruence, Circle.

Geometry Problem 990

Geometry Problem 990.
Triangle, Incircle, Median, Cevian, Central Angle, Congruence, Circle, Secant, Midpoint, Parallel.

Geometry Problem 989

Geometry Problem 989.
Arbelos, Semicircles, Diameter, Perpendicular, 90 Degree, Common External Tangent, Rectangle, Midpoint of Arc.

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