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Figures (5)

Fig. 1
Fig. 1

An object y, imaged by an optical system represented by the principal points H and H′, the nodel points N and N′, and the focal points F and F′.

Fig. 2
Fig. 2

A compound system composed of two elements represented by the principal points H1, H1′ and H2, H2′, and by the focal points F1, F1′ and F2, F2′, the distance F1′, F2 being the optical interval ⊿; object point at − ∞.

Fig. 3
Fig. 3

The principal planes H, H′ of a compound system, and those of its components H1, H1′ and H2, H2′ in their relative locations.

Fig. 4
Fig. 4

Optical imagery through a compound system consisting of two positive lenses of thicknesses d1 and d3 respectively, separated by a distance d2.

Fig. 5
Fig. 5

Designation of the magnitudes essential in trigonometric calculation of the path of a ray refracted by a spherical surface, the ray path lying in the plane of a principal section.

Equations (7)

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U = 1 u             X = 1 x             F = 1 f             V = 1 v
U = n u             X = n x             F = n f             V = n v
F = F 1 F 2 - F 1 F 2 c
H 1 H n 1 = c F 2 F             H 2 H n 3 = - c F 1 F
u 2 = u 1 - d 1 u 3 = u 2 - d 2 etc. n 1 = n 2 n 2 = n 3 etc. when u 1 = ,             u 4 becomes v .
x · x = f · f d x d x = - f · f x 2 = - x x = X y y = f x = x f = Y tan α tan α = - x f = - f x = A y n tan α = y n tan α Y A = n n = f f X A Y = 1
f = f 1 f 2 f = - f 1 f 2 e = - f 2 · f 2 e = f 1 f 1 f = b because u =