Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 245
(3), gives 21pshowing the law of connection between (a) and (b), or it is theequation of the evolute curve of the common parabola. Thus we might find the equation of the evolute of any othercurve. Corollary 1. If we make 5=0, we shall have a=p, showingthat the evolute of the parabola meets the… … Then d2=: 27p POLAR CURVES. 237 Since every value of a gives two equal values of h with con-trary signs, the evolute is symmetrical in respect to the axis ofX. The evolute BF corresponds to the involute AMy and theevolute Df to the involute Am. The evolute of one-fourth of the ellipse is the…
Geometry, Analytic · Calculus
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