and
F.G, also G.H, and H.E, whiche iiij. straighte lynes do make the
square quadrate that I should draw about the circle assigned.

THE XXXV. CONCLVSION.

To draw a circle in any square quadrate appointed.

Fyrste deuide euery side of the quadrate into twoo equall
partes, and so drawe two lynes betwene eche two contrary
poinctes, and where those twoo lines doo crosse, there is the
centre of the circle. Then sette the foote of the compasse in
that point, and stretch forth the other foot, according to the
length of halfe one of those lines, and so make a compas in the
square quadrate assigned.

_Example._

[Illustration]

A.B.C.D. is the quadrate appointed, in whiche I muste make a
circle. Therefore first I do deuide euery side in ij. equal
partes, and draw ij. lines acrosse, betwene eche ij. contrary
prickes, as you se E.G, and F.H, whiche mete in K, and therfore
shal K, be the centre of the circle. Then do I set one foote of
the compas in K. and open the other as wide as K.E, and so draw a
circle, which is made accordinge to the conclusion.

THE XXXVI. CONCLVSION.

To draw a circle about a square quadrate.

Draw ij. lines betwene the iiij. corners of the quadrate, and
where they mete in crosse, ther is the centre of the circle that
you seeke for. Then set one foot of the compas in that centre,
and extend the other foote vnto one corner of the quadrate, and
so may you draw a circle which shall iustely inclose the
quadrate proposed.

_Example._

[Illustration]

A.B.C.D. is the square quadrate proposed, about which I must
make a circle. Therfore do I draw ij. lines crosse the square
quadrate from angle to angle, as you se A.C. & B.D. And where
they ij. do crosse (that is to say in E.) there set I the one
foote of the compas as in the centre, and the other foote I do
extend vnto one angle of the quadrate, as for example to A, and
so make a compas, whiche doth iustly inclose the quadrate,
according to the minde of the conclusion.

THE XXXVII. CONCLVSION.

To make a twileke triangle, whiche shall haue euery of the
ij. angles that lye about the ground line, double to the
other corner.

Fyrste make a circle, and deuide the circumference of it into
fyue equall partes. And thenne drawe frome one pricke (which you
will) two lines to ij. other prickes, that is to say to the iij.
and iiij. pricke, counting that for the first, wherhence you
drewe both those lines, Then drawe the thyrde ly