Euclid's Elements

Book 1: The 48 Propositions

1) On any given finite straight line to construct an equilateral triangle.

Related constructions

Proclus' scalene triangle.

AC is a radius of one of the two circles and D is a point on AC lying in that portion of the circle with centre A which is outside the circle with centre B. Then, joining BD we have a triangle, ABD, which is obviously scalene.

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