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Geometry: Tangent Circles, Theorems and Problems,
Page 1
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Tangent Circles, Table of Content
1/8
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Second Ajima-Malfatti Point
Interactive illustration.
Tangent circles. |
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First Ajima-Malfatti Point
Animated illustration.
Tangent circles. |
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Sawayama -Thebault's
theorem
Tangent circles. |
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Apollonius' Problem for Three Circles
Illustration with animation and sound.
Tangent circles |
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Seven Circles Theorem
Tangent circles. |
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Soddy Circles and Descartes Theorem.
Three tangent circles,
Inscribed and Circumscribed Circles, Radii. |
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Arbelos, Theorems and Problems
Three tangent semicircles with collinear
centers.
Index |
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GeoGebra,
Dynamic Geometry, Euclidean Egg with 8 Arcs in 5 Steps, Step-by-Step Construction
HTML5 Animation for Tablets (iPad, Nexus) |
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GeoGebra,
Dynamic Geometry, Euclidean Egg, Step-by-Step Construction
HTML5 Animation for Tablets (iPad, Nexus) |
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Geometric Art:
Tangent Circles, Delaunay Triangulation, iPad,
iPhone App: Trimaginator. |
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Geometry Problem 1573:
Two circles are externally tangent at point C. Given specific secants and tangents, find the angle at point K |
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Geometry Problem 1540: Solving for the Length of Chord in a Circle: Analyzing Intersections and Given Values for Academic Pursuits. |
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Geometry
Problem 1534: High School Brainteaser: Tangent Circles, Common External Tangent, and Angle Conundrums!.
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Geometry Problem 1435.
Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram, Parallel Lines, Tangency Points,
Poster, Typography, iPad Apps. |
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Geometry Problem 1434.
Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean, Measurement,
Poster, Typography, iPad Apps. |
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Geometry Problem 1433.
Tangent Circles, Diameter, Perpendicular, Midpoint, Measurement,
Poster Typography, iPad Apps. |
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Geometry Problem 1432.
Tangent Circles, Secant, Tangent Lines, Proportionality, Similarity,
Poster Typography, iPad. |
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Geometry Problem 1431.
Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles, Poster, Conformal Mapping. |
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Geometry Problem 1427. Circle inscribed in a square, Arc, Tangent Line, Tangent Circles, Radii. |
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Geometry Problem 1421. Right Triangle, Incircle, Excircle, Tangent Lines, Measurement. |
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Geometry Problem 1420. Regular Hexagon, Inscribed Circle, Area, Tangent
Circles, Tangent Line. |
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Geometry Problem 1419. Triangle, Altitude, Circumcircle, Incenter, Inradius, Perpendicular, Angle Bisector, Midpoint. |
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Geometry Problem 1417. Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector,
Tangent Lines, Tangent Circles. |
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Geometry Problem 1402. Triangle, Three Tangent Circles, Parallel Diameter, Collinear Points. |
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Geometry Problem 1362.
Equilateral Triangle Inscribed in a Circle, Lunula, Ratio of Areas, Tangent, Sketch, iPad Apps. |
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Geometry Problem 1353. Tangent Circles, Perpendicular Diameters, Congruence, 30 Degrees. |
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Geometry Problem 1314.
Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence. |
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Geometry Problem 1301.
Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency. |
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Geometry Problem 1300.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines. |
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Geometry Problem 1298.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint. |
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Geometry Problem 1297.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector. |
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Geometry Problem 1277.
Equilateral Triangle, Circumcircle, Externally Tangent Circles, Tangent Line, Measurement. |
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Geometry Problem 1276.
Equilateral Triangle, Circumcircle, Internally Tangent Circles, Tangent Line, Measurement. |
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Geometry Problem 1229
Three Tangent Circles, Midpoint, Common Tangent Line, 3-4-5 Right Triangle. |
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Geometry Problem 1228
Three Tangent Circles, Midpoint, Major Arc, Common Tangent Line, Square. |
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Geometry Problem 1216
Circle, 90 Degrees, Tangent, Common Chord, Collinearity. |
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Geometry Problem 1168
Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent. |
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Geometry Problem 1158.
Four Tangent Circles, Tangent Chord, Radius, Metric Relations. |
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Geometry Problem 1157.
Four Circles, Mutually Tangent, 90 Degrees, Radius, Metric Relations. |
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Geometry Problem 1154. Sangaku Three circles and a tangent line. |
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Dynamic Geometry Problem 1148
Static Geometry Problem 1148.
Right Triangle, Circle, Incircle, Circumcircle, Tangent, Radius. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
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Geometry Problem 1143.
Triangle, Circumcircle, Tangent Line, Reflection of a Point over a Line, Tangent Circles, Collinear Points. |
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Geometry Problem 1137.
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles. |
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Geometry Problem 1134.
Tangent Circles, Tangent Line, Triangle, Circumcircle, Circumcenter. |
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Geometry Problem
1096.
Tangent Circles, Common Tangent, Chord, Radius, Center. |
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Geometry Problem
1095.
Externally Tangent Circles, Common Tangent, Radius, Metric Relations. |
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Geometry Problem
1094.
Tangent Circles, Tangent Chord, Radius, Sagitta of Arc. |
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Geometry Problem
1093.
Square, Circle, Tangent, Radius, Side, Sangaku, Japanese Geometry Problem. |
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Geometry Problem
1087.
Tangent Circles, Parallel, 15 Degrees, Angle. |
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Geometry Problem
1081.
Equilateral Triangle, Inscribed Circle, Inradius, Tangent Circles, Radius, Tangent Line, Sangaku Japanese Problem. |
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Geometry Problem
1077.
Chain of Equal Tangent Circles, Circular Sector, Area, Sangaku, Sacred Geometry. |
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Geometry Problem
1071.
Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, 90 Degrees,
Midpoint. |
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Geometry Problem
1048.
Circles, Tangent, Perpendicular, Diameter, Angle Bisector. |
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Geometry Problem
1009.
Tangent Circles, Common External Tangent, Common Internal Tangent, Arithmetic Mean. |
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Geometry Problem
1008.
Three Equal Tangent Circles, Sum of Tangent Lines, Tangency Points. |
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Geometry Problem
1006.
Tangent Circles, Common External Tangent, Bicentric Trapezoid, Incenter, Circumcenter. |
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Geometry Problem 989.
Arbelos, Semicircles, Diameter, Perpendicular, 90 Degree, Common External Tangent, Rectangle, Midpoint of Arc. |
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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 952.
Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points. |
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Geometry Problem 941.
Circles Tangent Externally, Tangent, Secant, Proportion, Angle. |
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Geometry Problem 936.
Circle, Semicircle, Diameter, Tangent, Radius, Chord, Metric Relations.
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Geometry Problem 823.
Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point. |
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