COROLLARY III.

In Fig. 12., altering its proportions a little for the sake of

clearness, and putting it as here in Fig. 13., draw a horizontal line

_aR′_ and make _aR′_ equal to _aR_.

Through the points _R_ and _b_ draw _R′M_, cutting the sight-line in

_M_. Join _TV_. Now the reader will find experimentally that _VM_ is

equal to _VT_.[17]

[Illustration: Fig. 13.]

Hence it follows that, if from the vanishing-point _V_ we lay off on

the sight-line a distance, _VM_, equal to _VT_; then draw through _a_ a

horizontal line _aR′_, make _aR′_ equal to the sight-magnitude of _AB_,

and join _R′M_; the line _R′M_ will cut _aV_ in _b_. And this is in

practice generally the most convenient way of obtaining the length of

_ab_.

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 24 / 91 题