Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 222
polar coordinates. The directionof a curve expressed in polar coordinates is usually determinedby means of the angle between thetangent and the radius vector. Let P(r, 0) (fig. 153) be any point on thecurve, PT the tangent at P, and -v/rthe angle made by PT and the radiusvector OP. Give d an… … Thenand OQ=r+ArBQ=Ar. Draw also the chord PQ and the straight line PS perpendicularto OQ and meeting it in S. Then SP=r sin Ad, OS =r cos Ad, SQ=OQ-OS= r + Ar-rcosAd Ad= Ar + 2 r sin2 — • 206 TKANSCUN DENTAL FUNCTIONS As A0 approaches zero the chord PQ approaches the limitingposition PT and the…
Geometry, Analytic · Calculus
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