Circle Chord, Theorems and Problems
1




Euclid's Elements
Book I, 23 Definitions. Onepage visual illustration.
Euclid's Elements Book.
Index 

Sagitta, Arc, Chord. 

Common Chord to two circles.
Index.
Theorems and Problems. 

Diameters and Chords,
Theorems and Problems.
Index.


Perpendicular Chords.
Index.
Theorems and Problems.


Parallel
Chords.
Index.
Theorems and Problems.


Eyeball Theorem:
Animated Angle to Geometry Study.
Equal chords. 

Mascheroni
construction with compass alone. Index
Common chords. 

Euclid's Elements,
Book XIII, Proposition 10 One page visual illustration. 

Simson Line. A proof
of Simson line with animation. 

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 Plugin 1.3 or higher. Please be patient while
the applet loads on your computer. If you are using a dialup
connection, it may take a few minutes but is well worth the wait. Cabri, GSP, Cinderella,
C.a.R. 

Four Circles
Theorem Using Interactive Dynamic Software
StepbyStep construction, Manipulation, and animation.
Common chords 

Three Circles Theorem
Using TracenPoche Dynamic Software
Common chords. 

Butterfly Theorem
Proof with animation.
Midpoint of a chord.


Ptolemy's Theorem.
Chords 

Cyclic
Quadrilateral: Ratio of the Diagonals
Chords 

Mascheroni construction: Find the center of a circle with compass alone.
Common chords. 

Mascheroni construction: Construct the circumcircle of
a triangle with compass alone.
Common chords. 

Intersecting Circles Index.
Common chords. 

Cyclic Quadrilateral.
Chords 

Brahmagupta's Formula
Area of a cyclic quadrilateral.


Pascal's Mystic Hexagram Theorem Proof 
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