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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Lenses and Systems of Lenses

Lenses and Systems of Lenses

Pendlebury, Charles

Paperback

General LawGeneral ScienceGeneral World History

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ISBN10: 1152370170
ISBN13: 9781152370173
Publisher: General Books
Pages: 54
Weight: 0.20
Height: 0.12 Width: 9.01 Depth: 5.98
Language: English
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 Excerpt: ...whatever be the number of refracting surfaces; that the formulae in the general case are precisely analogous to those obtained in the particular case; and that they involve the constants A, B, and C in exactly the same way. 104. The magnification produced by a system of n re fracting surfaces can be expressed as a linear function of v. Let us consider the system formed by the first H--1 surfaces, and let (m)n_1 denote the magnification produced by it. Also let tn_, be the reduced distance of the (n--l)th image from the (n--l)th vertex. We will assume that (mn_l can be expressed as a linear function of # _ and thence show that on this supposition, the magnification can again be expressed as a linear function of Vm, if we cause the rays to pass through an additional or nth surface; vn being the reduced distance of the nth image from the vertex of the nth surface. We will assume that and we will suppose that--tn_, is the reduced distance between the (n-!)01 and the nth vertices. It has been proved, that the magnification produced by a single surface _ v u' Consequently the magnification caused by the nth surface alone V, + _, ' Hence, if we denote by m the whole magnification produced by the n surfaces, we have = 0--jO (7 + - -, )--- = 7 + a _, -vn a. + p, (7 + a._, ) = 7'--V Hence the magnification can be expressed as a linear function of vn. 105. Again, if P and P' be two points that are conjugate to one another with respect to the system of surfaces, we know that which ever we consider as the source of light, the rays from it will produce an image at the other point. The same is true of objects and images of a definite size. Consequently, if we transpose the terms object and image in the preceding article...

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