How to make a cinkangle of equall sides and equall angles
about any circle appointed.
Deuide firste the circle as you did in the last conclusion into
fiue equall portions, and draw fiue semidiameters in the circle.
Then make fiue touche lines, in suche sorte that euery touche
line make two right angles with one of the semidiameters. And
those fiue touche lines will make a cinkangle of equall sides
and equall angles.
[Illustration]
_Example._
A.B.C.D.E. is the circle appointed, which is deuided into fiue
equal partes. And vnto euery prycke is drawen a semidiameter, as
you see. Then doo I make a touche line in the pricke B, whiche
is F.G, making ij. right angles with the semidiameter B, and
lyke waies on C. is made G.H, on D. standeth H.K, and on E, is
set K.L, so that of those .v. touche lynes are made the .v.
sides of a cinkeangle, accordyng to the conclusion.
An other waie.
Another waie also maie you drawe a cinkeangle aboute a circle,
drawyng first a cinkeangle in the circle (whiche is an easie
thyng to doe, by the doctrine of the .xxxvij. conclusion) and
then drawing .v. touche lines whiche shall be iuste paralleles
to the .v. sides of the cinkeangle in the circle, forseeyng that
one of them do not crosse ouerthwarte an other and then haue you
done. The exaumple of this (because it is easie) I leaue to your
owne exercise.