lykeiamme, and also to the right lined figure
appointed, as the conclusion willed.
_Example._
[Illustration]
K, is the right lined figure appointed, and B.C.D.E, is the
likeiamme, with right angles equall vnto K, but because that this
likeiamme is not a square quadrate, I must turne it into such
one after this sort, I shall make one right line, as long as
.ij. vnequall sides of the likeiamme, that line here is F.G,
whiche is equall to B.C, and C.E. Then part I that line in the
middle in the pricke M, and on that pricke I make halfe a
circle, accordyng to the length of the diameter F.G. Afterward I
cut awaie a peece from F.G, equall to C.E, markyng that point
with H. And on that pricke I erecte a perpendicular H.K, whiche
is the iust side to the square quadrate that I seke for,
therfore accordyng to the doctrine of the .x. conclusion, of the
lyne I doe make a square quadrate, and so haue I attained the
practise of this conclusion.
THE .XX. CONCLVSION.
When any .ij. square quadrates are set forth, how you maie
make one equall to them bothe.
First drawe a right line equall to the side of one of the
quadrates: and on the ende of it make a perpendicular, equall in
length to the side of the other quadrate, then drawe a byas line
betwene those .ij. other lines, makyng thereof a right angeled
triangle. And that byas lyne wyll make a square quadrate, equall
to the other .ij. quadrates appointed.
[Illustration]
_Example._
A.B. and C.D, are the two square quadrates appointed, vnto which
I must make one equall square quadrate. First therfore I dooe
make a righte line E.F, equall to one of the sides of the square
quadrate A.B. And on the one end of it I make a plumbe line E.G,
equall to the side of the other quadrate D.C. Then drawe I a
byas line G.F, which beyng made the side of a quadrate
(accordyng to the tenth conclusion) will accomplishe the worke
of this practise: for the quadrate H. is muche iust as the other
two. I meane A.B. and D.C.
THE .XXI. CONCLVSION.
When any two quadrates be set forth, howe to make a squire
about the one quadrate, whiche shall be equall to the other
quadrate.
Determine with your selfe about whiche quadrate you wil make the
squire, and drawe one side of that quadrate forth in lengte,
accordyng to the measure of the side of the other quadrate,
whiche line you maie call the grounde line, and then haue you a
right angle made on this line by an other side
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