Inside Out Library · Explore

Brief course in analytic geometry (1911)

Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 136

An illustration from Brief course in analytic geometry, 1911, leaf 136
(63 - e^) + p^,sm{0i-0,)l. [22] * The demonstration applies to each figure. t Area OPaPs and OP3P1 are positive ; but OP1P2 is negative, for theincluded angle is negative, —from OPi to OP2. 70] POLAR COORDINATES 119 (y) Ijoci. The study of loci by polar coordinates may beseen from an example: Given… … p, = 4 P2 = 2 V3 = 3.46+ p3=2 P4=2V2 = 2.8+ P5 = 0 pe = 3.46+p, = 2Pa = 2.8+p, = 0etc.The corresponding points are: P, = (4,0°) ; P, = (3.46+, 30°) ; P, = (2, 60°) ; P, = (2.8+, 45°);P, = P5 = the poleO=(0, ±90°); P„=(3.46+, -30°); P,=(2, -60°); etc. All these points are found to lie on a circle…

Geometry, Analytic

Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.

More pictures from Brief course in analytic geometry

More like this