Simple inscribed triangle

Pentagons
Pentagon, Euclid's method
Pentagon, Phi method
Pentagon, Cosine method
Pentagon, Carlyle Circle method

Heptadecagons
Richmond method
Carlyle circle method

Selections from Book 1 of Euclid's Elements
B1P1 - Create an equilateral triangle
B1P2 - Create a line of another line's length
B1P3 - Cut a line at a smaller line's length
B1P9 - Bisect an angle
B1P10 - Bisect a line segment
B1P11 - Create a right angle at a given point

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