Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 86
ll be imaginary for values of 6 between45° and 135°, and there will therefore be no real points corre-sponding to these values of 0. If we let $ 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,… … 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) /O(l-cos0) = 2a. (c) P = 2a(l-cos0).…
Geometry, Analytic
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