COROLLARY.

It is obvious that if _AE_ is equal to _AC_, the whole figure will be

a cube, and each side, _aefc_ and _aegb_, will be a square in a given

vertical plane. And by making _AB_ or _AC_ longer or shorter in any

given proportion, any form of rectangle may be given to either of the

sides of the pillar. No other rule is therefore needed for drawing

squares or rectangles in vertical planes.

Also any triangle may be thus drawn in a vertical plane, by inclosing

it in a rectangle and determining, in perspective ratio, on the sides

of the rectangle, the points of their contact with the angles of the

triangle.

And if any triangle, then any polygon.

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 41 / 91 题