COROLLARY I.

If the line _AB_ is in a plane parallel to that of the picture, one end

of the line _AB_ must be at the same direct distance from the eye of the

observer as the other.

Therefore, in that case, _DT_ is equal to _D′T_.

Then the construction will be as in Fig. 7.; and the student will find

experimentally that _ab_ is now parallel to _AB_.[11]

[Illustration: Fig. 7.]

And that _ab_ is to _AB_ as _TS_ is to _TD_.

Therefore, to draw any line in a plane parallel to that of the picture,

we have only to fix the position of one of its extremities, _a_ or _b_,

and then to draw from _a_ or _b_ a line parallel to the given line,

bearing the proportion to it that _TS_ bears to _TD_.

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 13 / 91 题