"But the situation is completely changed if I turn to my little
picture 10 cm. distant from my eye. The angle under which I see my
two peaks is, of course, again the same under which I saw them in the
real landscape. It is determined by the distance of the picture from
the nodal point, which is in this case 10 cm. But the angle of the
eye-movement necessary to fixate first the left and then the right
peak is now a much smaller one because it is again determined by the
distance from the rotation-point, and that is in this case 10 cm.
plus 1 cm. With this short distance of the picture from the eye this
one additional centimetre is not at all the negligible quantity which
it was in addition to ten miles in the landscape. For the two real
mountains the angle of the eye-movement had a tangent of one tenth;
for the photograph mountains, in spite of their equal size of retinal
image, the angle of necessary movement would of course have a tangent
of one eleventh. Roughly speaking, we could say that the photograph,
in order to produce the same eye-movement which the mountains in the
landscape excited, would need a pictorial distance between the two
photograph mountains of 11 mm. instead of 10 mm. Of course if the
distance in the picture were made 11 mm. instead of 10, it would not
cover any more the mountains of the landscape. The retinal image would
thus be relatively too large and would not give us any longer the true
landscape. On the other hand, if we tried to correct it by bringing the
picture one centimetre nearer to the eye, then of course every retinal
image would be enlarged by that necessary tenth, and yet there would be
no help for the situation, as now again the eye-movement demanded by
the retinal image would be relatively increased too.
"We can put it in this way: _my real landscape demands a relation
between retinal image and movement which my picture cannot produce
under any circumstances whatever_. That which would be needed to
imitate the relations would be realized only if I had my retinal
images from the picture at a distance of 10 cm., and at the same time
the movements belonging to the same picture seen at a distance of 9
cm. That is of course unrealizable. We cannot see a picture without
having our movements constantly controlled by the size of the real
retinal images, as it is necessary that the distance seen in indirect
vision is the distance covered by the fixation-point during the
eye-movement. That demands, as we have seen, a different relation
between retinal image and eye-movement for near and far, and no verant
and no stereoscope can eliminate this factor. If a 10-mm. object in the
photograph demands an 11-mm. movement to give the impression of real
natural distance, then we have a condition which cannot be fulfilled.
Public-domain text, read in full here on John Shaqi.
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