Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 272
steadily aroundthe pole but never attains it. p = 0, /o - 00.1ld^<x>,p^ O.J The figure shows the curve for positive values of d. 211. General equation of a spiral. — This may obviously ^^^^i^*^^ p = /c . ^« ....... (1) Discussion. — When n = 1, equation (1) is the spiral of Archimedes,ri = —… … Fig. 150. 256 ANALYTICAL GEOMETRY Its equation is, .-. log p = k 0. It may also be written in these forms; viz.,p = a^ 0 = log„ p. 0 2 -1 0 1 2 3 etc p 14 1 2 1 2 4 8 etc. When a = 2, the table given here is readily found. [0 isexpressed in radians.] Discussion. — When ^ = — oo, p = 0.^ = 0, p = 1.…
Geometry, Analytic
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