Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 136
es from 0° to30°, r increases from 0 to a;as 0 increases from 30° to 60 ,r decreases from a to 0 ; thepoint (?•, 6) traces out theLoop 0A0 (fig. 101). As 6increases from G0° to 90°,r is negative and decreasesfrom 0 to — a ; as 6 increasesfrom 90° to 120°, rincreasesfrom —a to 0; the point(r, 6)… … The three loops are congruent, becauseThis curve is called a rose of three leaves. 120 POLAR COORDINATES Ex. 3. r2 = 2 rt2 cos 2 0. Solving for r, we have
Geometry, Analytic · Calculus
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