The theory which affirms that parallel lines converge only to one and
the same point upon the eye-line is an error. It is true only of lines
equidistant from the eye-line. It is true that parallel lines converge
to one and the same _eye-line_, but _meet it at different distances
when more or less apart from each other_. This is the true law of
perspective as shown by Nature herself; any other idea is fallacious
and will deceive whoever may hold and apply it to practice.
As it is of great importance that the difference should be clearly
understood, the following diagram is given. Let E L (Figure 17)
represent the eye-line and C the vanishing point of the lines, 1 C 2
C; then the lines 3.4.5.6, although converging _somewhere_ to the line
E L, will not do so to the point C, but 3 and 4 will proceed to D and 5
and 6 to H. It is repeated, that lines _equidistant_ from the _datum_
will converge on the _same point_ and at the _same distance_; but lines
_not_ equidistant will converge on the same _datum_ but at _different
distances_! A very good illustration of the difference is given in
Figure 18. Theoretic perspective would bring the lines 1, 2, and 3 to
the same _datum_ line E L and to the _same point_ A. But the true
or natural law would bring the lines 2 and 3 to the point A because
equidistant from the eye-line E L; but the line 1 being farther from
E L than either 2 or 3, would be taken beyond the point A on towards C,
until it formed the _same angle_ upon the line E L as 2 and 3 form at
the point A.
[Illustration: FIG. 17.]
[Illustration: FIG. 18.]
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