## Examples of the Processes of the Differential and Integral Calculus |

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a² b2 a²x² angle arbitrary constant assume asymptote becomes branches C₁ c²x² Cambridge circle co-ordinates condition curvature curve cycloid determine differential coefficients differential equation dx dx dx dy dx dx² dy dy dy dz dy² dz dz eliminate ellipse equal Euler factor formula fraction function Geometry gives Hence hypocycloid infinite intersection John Bernoulli L₂ Let the equation lines of curvature locus logarithmic logarithmic spiral Multiply negative origin parabola perpendicular radius SECT singular points singular solution spiral Substituting subtangent surface tangent plane theorem triangle University of Cambridge vanish whence x²)³