Examples of the Processes of the Differential and Integral CalculusDeighton, 1841 - 524 pages |
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a² b2 a²)³ a²x² angle arbitrary constant assume asymptote becomes branches C₁ c²x² circle co-ordinates condition conjugate point curvature curve cycloid determine differential coefficients differential equation dx dx dx dy dx dx² dy dx dy dy dy eliminating ellipse equal Euler factor formula function gives Hence hypocycloid infinite Integrating with respect intersection John Bernoulli L₂ Let the equation lines of curvature locus logarithmic logarithmic spiral maximum minimum Multiply negative origin parabola perpendicular radius singular points singular solution spiral Substituting subtangent surface tangent plane theorem triangle vanish whence x²)³ y²)³