The stereoscope : $b its history, theory, and construction, with its application to the fine and useful arts and to educationBrewster, David
History
The stereoscope : $b its history, theory, and construction, with its application to the fine and useful arts and to education
Brewster, David
Stereoscope
If we now converge the optic axes to a point _b_, and wish to ascertain
the value of C_c_, which will give different _depths_, _d_, of the
_hollow_ solids corresponding to different values of C_b_, we shall have
E
A_b_:—— = _d_:C_c′_,
2
_d_E
and C_c′_ = ————— AB,
2
which, making AC = 8 inches, as before, will give the following
results:—
Depth.
C_b_ = _d_ A_b_ = AC + _d_ C_c′_
Inches.
1 9 0.139
2 10 0.25
3 11 0.34
4 12 0.4166
5 13 0.48
6 14 0.535
7 15 0.58
8 16 0.625
9 17 0.663
10 18 0.696
11 19 0.723
12 20 0.75
The values of _h_ and _d_ when C_c_, C_c′_ are known, will be found
from the formulæ
2AB · C_c_
_h_ = ————————————,
E
2AB · C_c′_
and _d_ = ————————————.
E.
As C_c_ is always equal to C_c′_ in each pair of figures or dissimilar
pictures, the depth of the _hollow_ cone will always appear much
greater than the height of the raised one. When C_c_ = C_c′_ = 0.75,
_h_:_d_ = 3:12. When C_c_ = C_c′_ = 0.4166, _h_:_d_ = 2:4, and when
C_c_ = C_c′_ = 0.139, _h_:_d_ = 0.8:1.0.
When the solids of which we wish to have binocular pictures are
symmetrical, the one picture is the reflected image of the other, or
its reverse, so that when we have drawn the solid as seen by one eye,
we may obtain the other by copying its reflected image, or by simply
taking a copy of it as seen through the paper.
When the geometrical solids are not symmetrical, their dissimilar
pictures must be taken photographically from models, in the same manner
as the dissimilar pictures of other solids.
_Portraits of Living Persons or Animals._
Although it is possible for a clever artist to take two portraits, the
one as seen by his right, and the other as seen by his left eye, yet,
owing to the impossibility of fixing the sitter, it would be a very
difficult task. A bust or statue would be more easily taken by fixing
two apertures 2½ inches distant, as the two points of sight, but even
in this case the result would be imperfect. The photographic camera is
the only means by which living persons and statues can be represented
by means of two plane pictures to be combined by the stereoscope; and
but for the art of photography, this instrument would have had a very
limited application.
Public-domain text, read in full here on John Shaqi.
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