e circle, but
nother of them is properly named to be in the other. Now to come
to the conclusion. If the triangle haue all .iij. sides lyke,
then shall you take the middle of euery side, and from the
contrary corner drawe a right line vnto that poynte, and where
those lines do crosse one an other, there is the centre. Then
set one foote of the compas in the centre and stretche out the
other to the middle pricke of any of the sides, and so drawe a
compas, whiche shall touche euery side of the triangle, but
shall not passe with out any of them.

_Example._

The triangle is A.B.C, whose sides I do part into .ij. equall
partes, eche by it selfe in these pointes D.E.F, puttyng F.
betwene A.B, and D. betwene B.C, and E. betwene A.C. Then draw I
a line from C. to F, and an other from A. to D, and the third
from B. to E.

[Illustration]

And where all those lines do mete (that is to saie M. G,) I set
the one foote of my compasse, because it is the common centre,
and so drawe a circle accordyng to the distaunce of any of the
sides of the triangle. And then find I that circle to agree
iustely to all the sides of the triangle, so that the circle is
iustely made in the triangle, as the conclusion did purporte.
And this is euer true, when the triangle hath all thre sides
equall, other at the least .ij. sides lyke long. But in the
other kindes of triangles you must deuide euery angle in the
middle, as the third conclusion teaches you. And so drawe lines
from eche angle to their middle pricke. And where those lines do
crosse, there is the common centre, from which you shall draw a
perpendicular to one of the sides. Then sette one foote of the
compas in that centre, and stretche the other foote accordyng to
the length of the perpendicular, and so drawe your circle.

[Illustration]

_Example._

The triangle is A.B.C, whose corners I haue diuided in the
middle with D.E.F, and haue drawen the lines of diuision
A.D. B.E, and C.F, which crosse in G, therfore shall G. be the
common centre. Then make I one perpendicular from G. vnto the
side B.C, and that is G.H. Now sette I one fote of the compas in
G, and extend the other foote vnto H. and so drawe a compas,
whiche wyll iustly answere to that triangle according to the
meaning of the conclusion.

THE XXVIII. CONCLVSION.

To drawe a circle about any triangle assigned.

Fyrste deuide two sides of the triangle equally in half and from
those ij. prickes erect two perpen