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Circles, Theorems and Problems: Table of Content
(Page 7 of 10)
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Circle definition.
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Proposed Problem
100. Circle Area, Archimedes' Book of Lemmas.
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Proposed Problem 99: Circle Area, General Extension to Pythagoras' Theorem.
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Incircles or inscribed circles.
Proposed Problem
96. Similar Triangles, Incenters, Parallelogram. |
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Incircles or inscribed circles.
Proposed Problem
95. Similar Triangles, Inradii,
Parallel. |
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Circumcircles or circumscribed circle
Proposed Problem
94. Similar Triangles, Circumcircles,
Circumradii. |
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Circumcircles or circumscribed circle
Proposed Problem
93. Similar Triangles, Circumcircles, Parallelogram. |
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Circumcircles or circumscribed circle
Proposed Problem
92. Similar Triangles, Circumcircles, Circumradii, Parallel. |
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Intouch and Extouch Triangles.
Puzzle cut: 20 Piece Classic
Based on Proposed Problem 86. |
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Proposed Problem
86. Intouch and Extouch Triangles, Areas. |
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Taylor Circle Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation.
Henry Martyn Taylor and the blind student of mathematics
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Proposed Problem 85. Contact
Triangles Areas, Incircle, Excircle. |
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Proposed Problem 84. Contact
Triangles Areas, Incircle, Excircle, Inradius, Exradius. |
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Proposed Problem 83. Area of the
Excircle Contact Triangle, exradius, circumradius. |
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Proposed Problem 82. Area of the
Contact Triangle, inradius, circumradius. |
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Proposed Problem 81. Area of a
triangle, side, inradius, circumradius. |
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Proposed Problem 80. Area of a
triangle, side, incircle, inradius. |
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Proposed Problem 79: Triangle.
Similarity, Altitudes, Orthocenter, Incircles, Inradii. |
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Proposed Problem 78: Angles of a Circle.
Perpendicular and parallel lines, Midpoint, Diameter, Chord, Cyclic
quadrilateral, Congruence.
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Proposed Problem 77: Angles of a Circle.
Parallel lines, Cyclic quadrilateral.
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Proposed Problem
76: Area of a Circle. Square,
Circle, Circular Sector. |
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Proposed Problem
74: Three Intersecting Circles. Cyclic
quadrilateral, Angles.
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Proposed Problem
73: Three Intersecting Circles. Cyclic
quadrilateral.
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Proposed Problem
72: Intersecting Circles. Cyclic
quadrilateral, Chords, Parallel.
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Proposed Problem
71: Cyclic Quadrilateral.
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Schiffler Point: Four Euler Lines with interactive animation and
manipulation.
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Feuerbach Points and Nine-Point Circle with interactive
animation, manipulation, and step-by-step construction.
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Incenter, Excenter, Incircle, Excircle Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation. |
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Four Circles
Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation. |
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Three
Tangent Circles
Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation. |
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Three Circles
Theorem Using TracenPoche Dynamic Software |
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Proposed Problem
68: Triangle, Incircle, Inradius, Tangent, Similarity.
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Crop Circles
and Complexity
Crop Circles
and Sacred Geometry
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Proposed Problem
67: Triangle, Circumcircle, Angles, Cyclic Quadrilateral.
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Proposed Problem
66: Triangle, Excircle, Tangents, Geometric Mean.
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Sangaku Geometry Theorem: Cyclic Quadrilateral.
Inradii, Rectangle. |
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Sangaku Problem (An Old Japanese Theorem).
Inradii, Carnot's theorem. |
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Sangaku Geometry Theorem: Three circles and a tangent line. |
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Arbelos, Inscribed Circle and Concyclic Points Cyclic
Quadrilateral. |
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Proposed Problem
57: Angle bisector, circles Cyclic
Quadrilateral. |
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Proposed Problem
56: Angle bisector, circles Parallel
Lines. |
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Proposed Problem
55: Angle bisector, circles Cyclic
Quadrilateral. |
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Proposed Problem
54: Angle bisector, circles Midpoint of
arc. |
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Proposed Problem
53: Angle bisector, circles |
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Feuerbach
Theorem
One of the most striking theorems in triangle geometry. |
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Feuerbach
Point Facts
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Feuerbach
Theorem, Acute Triangle
illustration
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