Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 84
ll be imaginary for values of 0 between45° and 135°, and there will therefore be no real points corre-sponding to these values of 0. If we let 6 vary from 135° to180°, the following points will be found on the locus : (0,135°),(4, 140°), (7, 150°), (8.7, 160°), (9.7, 170°), (10, 180°). Also Ch. V,… … Fig. 41. in Fig. 41. The two tangents to the curve at the originmake angles of 45° and 135° with the initial line, and aretherefore perpendicular to each other. The curve is called thelemniscate. 3. Plot the locus of each of the following equations: (a) p sin 0 = a. (b) P(l-cos0) = 2a. (c) p =…
Geometry, Analytic
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