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Analytic geometry for colleges, universities, and technical schools (1892)

Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 227

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 227
describe the arc PA.By circular measure, Arc PA = r 6, and from (1) c =r 0;hence Arc PA = c ; i.e., the arc of any circle between the initial line and thespiral is equal to the circumference of the measuring circle. 212 PLANE ANALYTIC GEOMETRY. 163. The Parabolic Spiral. This spiral is the locus… … Fig. 72. To construct the spiral. Values of $0 Corresponding Values of r0 45°=4 11 ^ Vctt 90° _ 2 T4 ti i V2c7r 135° - ^74 ti •1 VSCTT 180° = TT li Vc TT HIGHER PLANE CURVES. 213 Values of $ 225° = ^4 270^ = —4 315° = 1^4 360° = 2 TT GO Corresponding Values of r *V6 Ctt V27^00 Constructing these…

Geometry, Analytic

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