s of the cinkangle, and so draw I a circle about the
cinkangle assigned.
_Example._
A.B.C.D.E, is the cinkangle assigned, about which I would make a
circle. Therfore I drawe firste of all two lynes (as you see)
one from E. to G, and the other from C. to F, and because thei do
meete in H, I saye that H. is the centre of the circle that I
woulde haue, wherfore I sette one foote of the compasse in H.
and extende the other to one corner (whiche happeneth fyrste,
for all are like distaunte from H.) and so make I a circle
aboute the cinkeangle assigned.
[Illustration]
An other waye also.
Another waye maye I do it, thus presupposing any three corners
of the cinkangle to be three prickes appointed, vnto whiche I
shoulde finde the centre, and then drawinge a circle touchinge
them all thre, accordinge to the doctrine of the seuentene, one
and twenty, and two and twenty conclusions. And when I haue
founde the centre, then doo I drawe the circle as the same
conclusions do teache, and this forty conclusion also.
THE XLII. CONCLVSION.
To make a siseangle of equall sides, and equall angles, in
any circle assigned.
Yf the centre of the circle be not knowen, then seeke oute the
centre according to the doctrine of the sixtenth conclusion. And
with your compas take the quantitee of the semidiameter iustly.
And then sette one foote in one pricke of the circumference of
the circle, and with the other make a marke in the circumference
also towarde both sides. Then sette one foote of the compas
stedily in eche of those new prickes, and point out two other
prickes. And if you haue done well, you shal perceaue that there
will be but euen sixe such diuisions in the circumference.
Whereby it dothe well appeare, that the side of anye sisangle
made in a circle, is equalle to the semidiameter of the same
circle.
_Example._
[Illustration]
The circle is B.C.D.E.F.G, whose centre I finde to bee A.
Therefore I sette one foote of the compas in A, and do extend the
other foote to B, thereby takinge the semidiameter. Then sette I
one foote of the compas vnremoued in B, and marke with the other
foote on eche side C. and G. Then from C. I marke D, and from D,
E: from E. marke I F. And then haue I but one space iuste vnto
G. and so haue I made a iuste siseangle of equall sides and
equall angles, in a circle appointed.
THE XLIII. CONCLVSION.
To make a siseangle of equall sides, and equall angles about
any cir
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