why are circles so important to these constructions write out a concise explanation of the importance of circles in creating equilateral triangles why did euclid use circles to create his equilateral triangles in proposition 1 how does construction of a circle ensure that all relevant segments are of equal length

A circle is the set of points at a certain distance from the center. Take the desired base. Put the points of the compass on each end. Leaving one point in place rotate the other to create an arc. Do the same with the other end. Where the arcs meet is the apex of the triangle. Connect two sides to the base. The sides are the desired length because they form a radius of a circle.

Step-by-step explanation:

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