## An Elementary Treatise on the Differential Calculus: Founded on the Method of Rates |

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### Contents

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### Common terms and phrases

abscissa acceleration algebraic altitude angle asymptote axes axis branch called change sign circle coefficients cone constant continuous function convergent corresponding cosec cusp cycloid decreasing denote determine differential equation distance dy _ epitrochoid equal example expression factor find the value finite value formula fraction func given curve gives graph Hence higher derivatives hypocycloid hypotrochoid i6mo iamo imaginary implicit function increasing independent variable indeterminate form infinite integer intrinsic equation inverse lamo limiting value logarithms maxima and minima maximum or minimum minimum value morocco Napierian negative obtain ordinate origin parabola passes perpendicular plane point at infinity point of inflexion positive value prove quantity radius of curvature ratio roots second derivative simultaneous values sin2 square substituting subtangent symbol takes the form tangent Taylor's Theorem Theorem tion Trace the curve vanish velocity whence

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