Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 182
0. Ex. 2. Prove that the norma] to a pa-rabola at any point makes equal angleswith the axis of the parabola and the focal radius drawn to the point. Lei /((p //i) an.v point of the parabola y* = ipx (fig. 129), and letF(p, 0) be the focus. Then 11\ is the focal radius of /,. and let /,.Y bethe… … tan F2ITPX 8ji Slope of FP. = -^—;•i - P therefore 1_^L/_^I_\- Ill (*1 + P) 2p if we replace yf by 4_pz1, since yx2 = ipxv Px being a point of the parabola.Since tan FPXJY = tan FNPV the angles are equal. 1GG DIFFEEENTIATION OF ALGEBRAIC FUNCTIONS The angle of intersection of two curves is the…
Geometry, Analytic · Calculus
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