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.

[Illustration: Fig. 34.]

Let _AB_, Fig. 34., be the sight-magnitude of the side of the smaller

square, and _AC_ that of the side of the larger square.

Draw the larger square. Let _DEFG_ be the square so drawn.

Join _EG_ and _DF_.

On either _DE_ or _DG_ set off, in perspective ratio, _DH_ equal to

one half of _BC_. Through _H_ draw _HK_ to the vanishing-point of

_DE_, cutting _DF_ in _I_ and _EG_ in _K_. Through _I_ and _K_ draw

_IM_, _KL_, to vanishing-point of _DG_, cutting _DF_ in _L_ and _EG_

in _M_. Join _LM_.

The Elements of Perspective arranged for the use of schools and intended to be read in connection with the first three books of Euclid · 第 49 / 91 题