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Circles, Theorems and Problems: Table of Content
(Page 8 of 10)
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Circle definition.
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Feuerbach
Theorem,
Obtuse Triangle illustration
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Hippocrates and Squaring the Circle
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Lunes of
Hippocrates 4
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Lunes of
Hippocrates 3
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Lunes of
Hippocrates 2
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Lunes
of Hippocrates 1
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Pythagoras and Circle Area
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Brahmagupta's Theorem
Cyclic quadrilateral.
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Brahmagupta's Corollary
Cyclic quadrilateral.
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Brahmagupta's Formula
Area of a cyclic quadrilateral.
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Mascheroni Construction with compass
alone. Midpoint of a segment
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Sangaku Proposed
Problem 41. "Mickey Mouse."
Three circles, tangents, radii. |
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Nine-Point Center,
Nine-Point Circle, Euler Line.
Interactive illustration.
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Lemoine Theorem
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Second Ajima-Malfatti Point
Interactive illustration. |
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First Ajima-Malfatti Point
Animated illustration. |
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Proposed
Problem 39.
Triangle, Incircle, Bisector, Cyclic Quadrilateral and angles. |
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Proposed
Problem 39 Geometry Help.
Facts you should know for the proposed problem 39. |
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Proposed Problem 38.
Right
Triangle, altitude, incircles, incenters, and angles. |
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Proposed Problem 35.
Incenters and Inradii in Cyclic Quadrilateral. |
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Sawayama -Thebault's
theorem |
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Proposed Problem 34.
Right
triangle, cevian, incircles, tangents and inradius. |
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Apollonius' Problem for Three Circles
Illustration with animation and sound.
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Pascal's
Mystic Hexagram Theorem Proof
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