Geometric Proofs

Cartesian Mapping of Chords and Scales

Proof #1: Ellipse with Circle (r=1) and Circle (r=1.5)

Interactive Proof with Algebra: geogebra

Proof #2: 16th Note Grid

Interactive Proof with Algebra: geogebra

Artistic Derivatives of 16th Note Grid Proof: Art

Measure of 12 Equal Parts

Interactive Proof with Algebra: Geogebra

Measure of 3 (alt) Proof

Interactive Proof with Algebra: Geogebra

Measure of 3 (original) Proof

Interactive Proof with Algebra: Geogebra

Measure of 2

Interactive Proof with Algebra: Geogebra

Poly-Rhythmic Measure

Interactive Proof with Algebra: Geogebra

Finding the Square Roots

Interactive Proof with Algebra: Geogebra