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.