Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 88
POLAR COOUDlNATES 73 AVheu tlic pole is on tlio circuinfeieuce, tlio polar axis adiameter, the equation of the circle is r = 2 li cos 0. r is positive from ^ = 0° to ^ = 90°, negative from $ = 90° to6 = 270°, and again positive from 6 = 270° to ^ = 300°. Theentire circumference is traced from ^ =… … The polar equation of a circle radius R, center (>•, 6), cur-rent coordinates r, 6, is »-^ — 2 rr cos (6 — 6)= lir — r-, whencer = r cos (6 - $) ± -y/R- - r- sm\e - J), r is real and hastwo unequal values when sin-(^ — ^)<-y,; that is, wIkmi R ■ R ^ <sin(^ —^)<—; these values of r…
Geometry, Analytic
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