As here ae, because the right within the same points is shorter, than the periphery is, by the [5 e ij].
From hence doth follow the Infinite section, of which we spake at the [6 e j].
This proposition teacheth how a Rightline is to be inscribed in a circle, to wit, by taking of two points in the periphery.
6. If from the end of the diameter, and with a ray of it equal to the right line given, a periphery be described, a right line drawne from the said end, unto the meeting of the peripheries, shall be inscribed into the circle, equall to the right line given. 1 p iiij.
As let the right line given be a: And from e, the end of the diameter ei: And with eo, a part of it equall to a, the line given, describe the circle eu: A right line eu, drawne from the end e, unto u, the meeting of the two peripheries, shall be inscribed in the circle given, by the [5 e], equall to the line given; because it is equall to eo, by the [10 e v], seeing it is a ray of the same Circle.
And this proposition teacheth, How a right line given is to be inscribed into a Circle, equall to a line given.
Moreover of all inscripts the diameter is the chiefe: For it sheweth the center, and also the reason or proportion of all other inscripts. Therefore the invention and making of the diameter of a Circle is first to be taught.