THE XL. CONCLVSION.

To make a circle in any appointed cinkeangle of equall sides

and equall corners.

Drawe a plumbe line from any one corner of the cinkeangle, vnto

the middle of the side that lieth iuste against that angle. And

do likewaies in drawyng an other line from some other corner, to

the middle of the side that lieth against that corner also. And

those two lines wyll meete in crosse in the pricke of their

crossyng, shall you iudge the centre of the circle to be.

Therfore set one foote of the compas in that pricke, and extend

the other to the end of the line that toucheth the middle of one

side, whiche you liste, and so drawe a circle. And it shall be

iustly made in the cinkeangle, according to the conclusion.

_Example._

The cinkeangle assigned is A.B.C.D.E, in whiche I muste make a

circle, wherefore I draw a right line from the one angle (as

from B,) to the middle of the contrary side (whiche is E. D,)

and that middle pricke is F. Then lykewaies from an other corner

(as from E) I drawe a right line to the middle of the side that

lieth against it (whiche is B.C.) and that pricke is G. Nowe

because that these two lines do crosse in H, I saie that H. is

the centre of the circle, whiche I would make. Therfore I set

one foote of the compasse in H, and extend the other foote vnto

G, or F. (whiche are the endes of the lynes that lighte in the

middle of the side of that cinkeangle) and so make I the circle

in the cinkangle, right as the conclusion meaneth.

[Illustration]

The Path-Way to Knowledg, Containing the First Principles of Geometrie · 第 44 / 52 题