Ptolemy's theorem

Ptolemy's Theorem 1

Ptolemy's Theorem 2

Determine Alpha

Determine Alpha

Isosceles Triangle ( determine beta )

Isosceles Triangle

Proof that a ² = b ² + c ²

Proof: a ² = b ² + c ²

Squares in equilateral Triangles

Squares in Triangles

Three Circles, one Tangent

Three Circles-one Tangent

h = Half the Sum of Diameters

h = Half the Sum of Diameters

3D Semicircles ( y-axis )

3D Semicircles y-axis

Hexagon Spiral

Hexagon Spiral

Hexagon Spiral

Line Segments in a Triangle

Line Segments in a Triangle

Determine Radius R

Radius R = ?

Determine Incircle Area

Incircle Area = ?

Determine shorter and longer Perimeter, respectively

Shorter Perimeter = ?

Phyllotaxis Spirals

Phyllotaxis Spirals

Golden Spiral

Triangles, Circles and Square

Triangles, Circles, Square

Area of blue Square

Area of blue Square = ?

Darkest Area = ?

Darkest Area = ?

Tangent Detector ( All Round )

Tangent Detector ( Basic )

Tangent Detector NEW

Tangent Detector NEW

Adjustable Bisecting Arcs

Adjustable bisecting Arcs

Tangent Detector

Edit Graph on Desmos

Bestem trekantsiden x

Bestem siden x ( Golden Ratio )

Shaded Area = ?

Shaded Area = ?

Incircle and Excircles ( simplified )

Røringscirkler (forenklet)

Blue Fraction of Square = ?

Edit Graph on Desmos

Determine R - W

Determine R - W

Two Rectangles

Edit Graph on Desmos

Nonagons in Nonagon

Nonagons in Nonagon

1 Radian Template

1 Radian Template

Determine orange Area

Determine orange Area

Determine Area of Triangle

Determine Area of Triangle

Pentagons in a Circle

Pentagons in a Circle

Determine the Median

Determine the Median

Half the Disk is shaded

½ Disk is shaded

Radian ( pedagogical )

Edit Graph on Desmos

Radian

Edit Graph on Desmos

Incircles ( indskrevne cirkler )

Incircles

Nested Lissajous

Lissajous Curve

Wikipedia: Lissajous Curve Wolfram: Lissajous Curve

Pythagorean Proof

Pythagorean Proof

n-Secting of a Triangle

n-Secting of a Triangle

Base of natural Logarithm

Base of natural Logarithm

Rotating Spiral

Rotating Spiral

Wikipedia: Involute of a spiral Spiral Wolfram: Archimedes' Spiral

Determine x ( bestem x )

Determine x Elaborated Screendump

Star Spinner

Star Spinner

Determine the blue Area

Determine the blue Area

Bézier Curve Animation

Bézier Curve (Basic) Bézier Curve (Elaborated)

Bézier Curve (Basic) NEW Bézier Curve (Elaborated) NEW