so
that the angle made of those two lines be equall to the angle
appointed. Then say I, that the arch of the circle D.F.E, is the
arche that I seke after. For if I doo deuide that arche in the
middle (as here is done in F.) and so draw thence two lines, one
to D, and the other to E, then will the angle F, be equall to
the angle assigned.

THE XXXIII. CONCLVSION.

To make a square quadrate in a circle assigned.

Draw .ij. diameters in the circle, so that they runne a crosse,
and that they make .iiij. right angles. Then drawe .iiij. lines,
that may ioyne the .iiij. ends of those diameters, one to an
other, and then haue you made a square quadrate in the circle
appointed.

_Example._

[Illustration]

A.B.C.D. is the circle assigned, and A.C. and B.D. are the two
diameters which crosse in the centre E, and make .iiij. right
corners. Then do I make fowre other lines, that is A.B, B.C,
C.D, and D.A, which do ioyne together the fowre endes of the ij.
diameters. And so is the square quadrate made in the circle
assigned, as the conclusion willeth.

THE XXXIIII. CONCLVSION.

To make a square quadrate aboute annye circle assigned.

Drawe two diameters in crosse waies, so that they make foure
righte angles in the centre. Then with your compasse take the
length of the halfe diameter, and set one foote of the compas in
eche end of the compas, so shall you haue viij. archelines. Then
yf you marke the prickes wherin those arch lines do crosse, and
draw betwene those iiij. prickes iiij right lines, then haue you
made the square quadrate accordinge to the request of the
conclusion.

_Example._

[Illustration]

A.B.C. is the circle assigned in which first I draw two
diameters, in crosse waies, making iiij. righte angles, and
those ij. diameters are A.C. and B.D. Then sette I my compasse
(whiche is opened according to the semidiameter of the said
circle) fixing one foote in the end of euery semidiameter, and
drawe with the other foote twoo arche lines, one on euery side.
As firste, when I sette the one foote in A, then with the other
foote I doo make twoo arche lines, one in E, and an other in F.
Then sette I the one foote of the compasse in B, and drawe twoo
arche lines F. and G. Like wise setting the compasse foote in C,
I drawe twoo other arche lines, G. and H, and on D. I make twoo
other, H. and E. Then frome the crossinges of those eighte arche
lines I drawe iiij. straighte lynes, that is to saye, E.F,