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Circles, Theorems and Problems: Table of Content
(Page 6 of 10)
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Circle definition.
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Proposed Problem
155. Euler's Theorem: Distance from the Incenter to the Circumcenter. |
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Proposed Problem
154. Triangle, Inradius, Circumradius, Chord. |
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Proposed Problem
153. Circumscribed Quadrilateral, Diagonals Concurrent with Chords.
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Proposed Problem 152. Circumscribed Quadrilateral, Diagonal, Chord, Proportion.
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Machu Picchu and Golden Rectangle.
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Chichen Itza and Golden Rectangle.
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Christ the Redeemer and Golden Rectangle.
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Colosseum and Golden Rectangle.
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Petra and Golden Rectangle.
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Proposed Problem
145.
Four Triangles, Incircle, Tangent and Parallel to Side, Incenters, Circumcenters. |
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Proposed Problem
144. Four Triangles, Incircle, Tangent and Parallel to Side, Inradii. |
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Proposed Problem
143. Four Triangles, Incircle, Tangent and Parallel to Side, Circumradii. |
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Proposed Problem
142. Four Triangles, Incircle, Tangent and Parallel to Side, Areas. |
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Proposed Problem
141. Triangle, Incircle, Tangent
, Parallel, Perimeters. |
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Proposed Problem
140. Triangle, Excircle, Tangent, Semiperimeter. |
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Proposed Problem
136. Orthic Triangle, Altitudes, Perpendicular, Concyclic Points. |
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Interactive
Gergonne Line and Nobbs Points.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation. |
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Interactive
Simson Line.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation. |
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Triangle,
Three Medians, Six Concyclic Circumcenters.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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Triangle: Incircle, Perpendicular, Angle Bisector.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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Proposed Problem
128. Incenter of a Triangle, Angle Bisectors, Sum of Ratios.
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Geometry
in Action. Reuleaux's rotor: How Round is your Circle?
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Proposed Problem
127. Centroid and Incenter of a Triangle,
Parallel, Proportions.
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Proposed Problem
126. Incenter of Triangle, Angle Bisector, Proportions.
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Proposed Problem
120. Area of triangle,
incenter, excircles,
tangent.
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Proposed Problem
119. Area of triangle,
incenter, excircle,
tangent.
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Proposed Problem
118. Area of triangle,
incenter, excenter,
tangent.
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Proposed Problem
117. Area of triangle,
incenter, excircles,
tangent.
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Proposed Problem
116. Area of triangle, excircles,
tangent.
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Proposed Problem
115. Area of triangle, excircles,
tangent.
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Proposed Problem
114. Area of triangle, incircle,
excircle.
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Proposed Problem
113. Area of triangle, incircle,
excircle.
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Stonehenge builders had geometry skills to rival Pythagoras
Five years of detailed research, carried out by the Oxford University landscape archaeologist Anthony Johnson, claims that Stonehenge was designed and built using advanced geometry.
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Proposed Problem
112. Area of square and triangle.
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Proposed Problem
111. Orthogonal Circles.
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Proposed Problem
110. Area of Contact Triangle.
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Bandurria is the oldest Peruvian archaeological site, says expert
Bandurria may rival Caral as oldest citadel in Americas.
Satellite View: circular ceremonial center |
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Eight-Point Circle Theorem
Step-by-Step construction, Manipulation, and animation. |
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