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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 31

An illustration from Plane and solid analytic geometry, 1897, leaf 31
problems, and to follow thesame methods in solving similar numerical problems, rather than tomemorize them and substitute numerical values for ri, x^, etc. (1) 10. Relation between Cartesian and Polar Coordinates. As the position of the same point may be determinedeither by x and y or by r and 6,… … Fig. 13. THE POINT. 17 If the rectangular coordinates of P (r, 0) are x and y, byTrigonometry, X = r cos 0,y = r sin 9- From [7], we may derive the formulas [7J r = Vx- + y-, e-tan-^- ^^^ X Ex. 1. Find the rectangular coordinates of P(o, 30°); by [7], 3V3X = 3 cos 30° = ——, y = 3 sin 30° = - ■ Ex.…

Geometry, Analytic

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