Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 191
ositive direction is purely arbi-trary. We shall take as the posi-tive direction of the tangent thatwhich shows the positive directionof the curve and shall denote theangle between the positive direc-tion of OX and the positive directionof the tangent by <£. Now for a fixed curve and a fixed… … dxds cos<£, dy . ,■—- = sin <p.ds Let arc PQ = As (fig. 146), where P and Q are so chosen thatAs is positive. Then PR = Ax and RQ — Ay, and AxAT Ay As PR _ chord PQaxcPQ arc PQ chord P Q „..,_ —r~- cos RPQ, arc PQ RQ chord PQ PR chord PQ RQ avoPQ arc PQchord PQ chord PQ arc PQ sin RPQ. Taking…
Geometry, Analytic · Calculus
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