[p45]
][PROBLEM XIII.]
TO DRAW A SQUARE, GIVEN IN MAGNITUDE, WITHIN A LARGER SQUARE GIVEN IN POSITION AND MAGNITUDE; THE SIDES OF THE TWO SQUARES BEING PARALLEL.
Fig. 34.
Let A B, [Fig. 34.], be the sight-magnitude of the side of the smaller square, and A C that of the side of the larger square.
Draw the larger square. Let D E F G be the square so drawn.
Join E G and D F.
On either D E or D G set off, in perspective ratio, D H equal to one half of B C. Through H draw H K to the vanishing-point of D E, cutting D F in I and E G in K. Through I and K draw I M, K L, to vanishing-point of D G, cutting D F in L and E G in M. Join L M.
Then I K L M is the smaller square, inscribed as required.[Footnote 23] ]