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Circle Chord, Theorems and Problems
1
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Euclid's Elements
Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book.
Index |
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Sagitta, Arc, Chord. |
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Common Chord to two circles.
Index.
Theorems and Problems. |
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Diameters and Chords,
Theorems and Problems.
Index.
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Perpendicular Chords.
Index.
Theorems and Problems.
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Parallel
Chords.
Index.
Theorems and Problems.
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Eyeball Theorem:
Animated Angle to Geometry Study.
Equal chords. |
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Mascheroni
construction with compass alone. Index
Common chords. |
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Euclid's Elements,
Book XIII, Proposition 10 One page visual illustration. |
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Simson Line. A proof
of Simson line with animation. |
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Miquel's
Pentagram with Dynamic Geometry. You can alter the pentagram dynamically
in order to test and prove (or disproved) conjectures and gain
mathematical insight that is less readily available with static drawings
by hand. Requires Java Plug-in 1.3 or higher. Please be patient while
the applet loads on your computer. If you are using a dial-up
connection, it may take a few minutes but is well worth the wait. Cabri, GSP, Cinderella,
C.a.R. |
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Four Circles
Theorem Using Interactive Dynamic Software
Step-by-Step construction, Manipulation, and animation.
Common chords |
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Three Circles Theorem
Using TracenPoche Dynamic Software
Common chords. |
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Butterfly Theorem
Proof with animation.
Midpoint of a chord.
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Ptolemy's Theorem.
Chords |
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Cyclic
Quadrilateral: Ratio of the Diagonals
Chords |
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Mascheroni construction: Find the center of a circle with compass alone.
Common chords. |
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Mascheroni construction: Construct the circumcircle of
a triangle with compass alone.
Common chords. |
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Intersecting Circles Index.
Common chords. |
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Cyclic Quadrilateral.
Chords |
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Brahmagupta's Formula
Area of a cyclic quadrilateral.
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Pascal's Mystic Hexagram Theorem Proof |
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