But Euclides conclusion is by triangles of two sides greater than the other; and of the greater angle.
The first part is plaine thus: Because the diameter ae, is equall to il, and lo, viz. to the raies; And to those which are greater than io, the base by the [9. e vj] &c.
The second part of the nearer, is manifest by the [5 e vij]. because of the triangle ilo, equicrurall to the triangle uly, is greater in angle: And therefore it is also greater in base.
The third and fourth are consectaries of the first.
The fifth part is manifest by the second: For if beside io, and sr, there be supposed a third equall, the same also shall be unequall, because it shall be both nearer and farther off from the diameter.
16 Of right lines drawne from a point in the diameter which is not the center unto the periphery, that which passeth by the center is the greatest: And that which is nearer to the greatest, is greater than that which is farther off: The other part of the greatest is the left. And that which is nearest to the least, is lesser than that which is farther off: And two on each side of the greater or least are only equall. 7 p iij.
The first part of ae, and ai, is manifest, as before, by the [9 e vj]. The second of ai, and ao; Item of ao, and au, is plaine by the [5 e vij].
The third, that ay, is lesser than au, because sy, which is equall to su, is lesser than the right lines sa, and au, by the [9 e vj]: And the common sa, being taken away, ay shall be left, lesser than au.