. Then

a g h f

is the square pillar required.

[p35]
]
[COROLLARY.]

It is obvious that if A E is equal to A C, the whole figure will be a cube, and each side,

a e f c

and

a e g b

, will be a square in a given vertical plane. And by making A B or A C 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.