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![Ptolemy's Theorems and Problems](../machu_picchu_h1_910.jpg)
Plane Geometry: Ptolemy's Theorems and Problems
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![Ptolemy Theorem and Problems Index](ptolemy_theorem_index_1.jpg) |
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![](../equilic/cyclic_ptolemy_theorem_170.jpg) |
Ptolemy's Theorem.
Cyclic quadrilateral |
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![](../equilic/cyclic_ptolemy_ratio_170.jpg) |
Cyclic
Quadrilateral: Ratio of the Diagonals
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![Cyclic Quadrilateral Index](../geometry/cyclic_quadrilateral_index_.jpg) |
Cyclic Quadrilateral.
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![Ptolemy's theorem Jigsaw Puzzle](ptolemy_theorem_index_1p.jpg) |
Jigsaw Puzzle
Ptolemy's Theorem.
22 Piece Polygons. |
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![Triangle, Square, 90 degrees](../problem/p483_square_triangle_1.jpg) |
Problem 483.
Square, Angle, 90 degrees, Measurement, Ptolemy's theorem. |
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![Triangle, Sides, Circumradius](../problem/p478_triangle_circle_1.jpg) |
Problem 478.
Triangle, Sides, Circumradius, Circumcenter, Circumcircle, Ptolemy's
theorem. |
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![Parallelogram, Diagonal, Circle](../problem/p474_parallelogram_circle_1.jpg) |
Problem 474.
Parallelogram, Diagonal, Circle, Vertex, Ptolemy's theorem. |
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![Cyclic quadrilateral](../problem/p330_cyclic_quadrilateral_1.jpg) |
Proposed Problem 330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter,
Ptolemy's theorem. |
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![Tangents to a circle, Secants](../problem/p301_circle_tangent_17.jpg) |
Proposed Problem 301.
Tangents to a circle, Secants, Square, Ptolemy's theorem. |
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![Problem: Tangent to a circle](../problem/p300_circle_tangent_17.jpg) |
Proposed Problem 300.
Tangents to a circle, Secants, Square, Ptolemy's theorem. |
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![Triangle, Circle, Radius, Perpendicular](../problem/p291_triangle_circle_17.jpg) |
Proposed Problem 291.
Triangle, Circle, Circumradius, Perpendicular, Ptolemy's theorem. |
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![Regular pentagon inscribed](../problem/p261_regular_pentagon_17.jpg) |
Proposed Problem 261.
Regular Pentagon inscribed in a circle, sum of distances, Ptolemy's
theorem.
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![Elearning 256: Equilateral triangle](../problem/p256_equilateral_triangle_1.jpg) |
Proposed Problem 256.
Equilateral Triangle, Circumcircle, Point, Vertices, Distances,
Ptolemy's theorem.
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![](../problem/p063_regular_heptagon_17.jpg) |
Proposed Problem 63:
Heptagon Regular, Side and Diagonals,
Ptolemy's theorem. |
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