Elements of natural philosophy (Volume 2-3) . And by the same process for a third deviating surface. Equationapplicable to thethird deviation; 1 m tt m r + m (/ + f) . . (22) ELEMENTS OF OPTICS 193. Third deviatedray incident upona fourth surface; And for a fourth, 1 (m - 1) / //;/ m r J . (23) Equation m (ff + t) applicable to the fourth deviation,and so on. And so on for any number of surfaces, the law being ma-nifest. § 33. The value of f + t deduced from Equation (20) Direct relationand substituted in Equation (21), will give a direct rela-found bcbveen . the first radiant tion between/ an
Elements of natural philosophy (Volume 2-3) . And by the same process for a third deviating surface. Equationapplicable to thethird deviation; 1 m tt m r + m (/ + f) . . (22) ELEMENTS OF OPTICS 193. Third deviatedray incident upona fourth surface; And for a fourth, 1 (m - 1) / //;/ m r J . (23) Equation m (ff + t) applicable to the fourth deviation,and so on. And so on for any number of surfaces, the law being ma-nifest. § 33. The value of f + t deduced from Equation (20) Direct relationand substituted in Equation (21), will give a direct rela-found bcbveen . the first radiant tion between/ and/, m terms of r, r,m, m and t; distance and finaland the value of f + f found from this derived equa-focal distance-tion and substituted in Equation (22) will give a directrelation between f and f, in terms of r, r\ r, m, m,m, t and t / and by the same process of elimination adirect relation may be found between the radiant distancef and the final focal distance f—n. § 34. But in practice the distance £, is so small that it Practical relationmay, without sensible error, be neglected. Omitting £, ^st^sthesewe shall find that the first member of each of the preced-omitting*;ing equati
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