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Handbook of optics for students of ophthalmology (1899)

Souter, William Norwood, 1961-1935 · New York, Macmillan · leaf 45

An illustration from Handbook of optics for students of ophthalmology, 1899, leaf 45
Also, if P (Fig. 11) be the position of a pointand Q its conjugate, F and F the principal foci, then REFRACTION AT SPHERICAL SURFACES 35 PF=f-F and QF = f- F. Let PF be denotedby u and QF by u; then/= u + F and/ = u + I7. „ F F i Hence, — H—; — = 1. u + F u + F From which we dednce uu=FF. r Q \… … then OP and 6U will be equal, and PA and PAwill be arcs of circles. As ERR is revolved on theaxis, producing the spherical surface, so the arcs PAand PA also produce portions of spherical surfaces. 36 HANDBOOK OF OPTICS If the radii OP and OP be great as compared withthe length of these arcs, the…

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