First Principles of the Differential and Integral Calculus: Or The Doctrine of Fluxions |
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abscissas algebraical altitude angle arithmetical progression axis becomes calculation circle coefficients consequently considered constant quantity denominator determine difference differential equation divided dx dy dy dx ellipse equal to zero exact differential example exponent expression factors finite fraction geometrical progression given gives hyperbola indeterminate infinite number infinitely small quantities infinitesimal analysis integral KPLM logarithm manner method method of exhaustions multiple point multiplied ordinates parabola parallel parallelopipeds perpendicular point of inflexion polygon positive whole number proposed differential radius ratio reduced rule second differential segment similar triangles sine solidity solids of revolution straight line substituting subtangent supposition surface tang tangent tion variable whence we deduce wherefore x d x x2 dx y d x