Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
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a₁ a²x² angle asymptote axis C₁ circle co-ordinates curvature curve cycloid determine differential coefficients differential equation Differentiating with respect dx dx dx dy dx dy dx dx² dy dx dy dy dy dy² dy³ dz dx dz dz Eliminate ellipse equal Euler expand formula function gives Hence hypocycloid independent variable infinite integral intersection John Bernoulli Let the equation lines of curvature logarithmic logarithmic spiral maximum minimum multiplying negative origin parabola perpendicular radius SECT singular solution spiral Substituting subtangent surface tan-¹ tangent plane Taylor's Theorem theorem vanish whence x²)³ y²)³