Online Geometry Education, College, High School

Online Plane Geometry: Chord of a Circle, Theorems and Problems

Circle Chord, Theorems and Problems 1

Chord Index

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

Sagitta, Arc, Chord

Sagitta, Arc, Chord.

Common chord to two circles

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

Diameters and Chords on a Circle

Diameters and Chords, Theorems and Problems. Index.

Perpendicular Chords

Perpendicular Chords. Index.
Theorems and Problems.

Parallel Chords, Congruent Arcs

Parallel Chords. Index.
Theorems and Problems.

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

Macheroni Constructions Index

Mascheroni construction with compass alone. Index
Common chords.

Euclid's Elements Book XIII, Proposition 10

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 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.

Four Circles Theorem Using Interactive Dynamic Software
Step-by-Step 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 with compass alone

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

Mascheroni construction with compass alone

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

Intersecting Circles Index

Intersecting Circles Index.
Common chords.

Cyclic Quadrilateral Index

Cyclic Quadrilateral.
Chords 

Brahmagupta's Formula  Area of a cyclic quadrilateral.

Pascal's Mystic Hexagram Theorem Proof

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HomeGeometry | Circle | Email | Post a comment | By Antonio Gutierrez