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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 87

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 87
let (r, 6) be any point in the line. Then 6 sin a . ^, r =—.—7 ;rr IS thc cqua- sin(« —^) tion of the line. For ^ = 0, r = b; ?• is positive from ^ = 0 to 6 = a; negative from ^ = a to 6 = 180° + a; ^- ^- again positive from 6 = 180° + atoe = 360°. ¥ov 0=a and 6 = 180° + «, r = ± oo. These results… … 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 ^ =…

Geometry, Analytic

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