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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 136

An illustration from Analytic geometry and calculus, 1917, leaf 136
s a constant whichmay be given any con-venient value. We maythen find from a table oinatural cosines the valueof r which correspondsto any value of 6. Byplottiug the points corre-sponding to values of 6from 0° to 90°, we obtainthe arc ABCO (fig. 100).Values of 6 from 90° to180° give the arc… … Ex. 2. r = a sin 3 0. As 6 increases 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°,…

Geometry, Analytic · Calculus

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