Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 65
ON the initial line,the co-ordinates of O being (a, b); the rectangular co-ordinates of P being (x, y) and the polar, (r, 0), respec- 56 Analytical Geometry. tively, OB, PB, OT, and Z PON in the figure. The anglebetween the initial line and the X-axis is <f>. It is then simply a question of… … Fig. 2 4- Then OB = x = OF + FB = OF + OA, or x = a + r cos (6 + <j>) [since OA = OrP cos POA = r cos (d + 0)].Also, PB = y = AB y or PA = OF + PA, b + rsin (6 + <f>))x = a + r cos (6 + <j>) )If the initial line is || to the X-axis, <j> = o and (K) becomesy = b -f r sin ^ )^…
Geometry, Analytic · Calculus
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