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

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Bestem trekantsiden x

Bestem siden x ( Golden Ratio )

Shaded Area = ?

Shaded Area = ?

Incircle and Excircles ( simplified )

Røringscirkler (forenklet)

Blue Fraction of Square = ?

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Determine R - W

Determine R - W

Two Rectangles

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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 )

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