An Elementary Treatise on the Differential Calculus Founded on the Method of Rates Or Fluxions |
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Common terms and phrases
angle assumed asymptote ax² axis become infinite changes sign circle coefficient constant coordinates corresponding cos² cos³ cycloid decreasing definite integral denominator denote derivative determine differential directly integrable dx dx dx dy dx² dy dx ellipse employed equal evaluated evidently example expression factor Find the area find the value finite func given function hence hypocycloid increasing function indefinitely independent variable indeterminate form initial line limits logarithms maxima and minima maximum minimum ordinate minimum value Napierian negative numerator obtain parabola partial fractions perpendicular point of inflexion polar equation positive preceding article quadrant quantity ratio rectangular roots sec² semi-cubical parabola sin² straight line substituting subtangent tangent Taylor's Theorem Theorem tion Trace the curve vanish velocity whence x₁ zero
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