## A Treatise on Infinitesimal Calculus: Integral calculus, calculus of variations, and differential equations. 1865University Press, 1865 - Calculus |

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### Common terms and phrases

abscissa angle application area contained area-element assigned axis bounding curve Calculus centre circle circular cone consequently constant convergent cosec cubature curvilinear coordinates cycloid cylinder definite integral denoted differential discontinuous distance divergent double integral dy dx dydx dzdydx element-function ellipse ellipsoid equal f dx favourable find the area finite following are examples function Gamma-function geometrical given Hence inferior limit infinite infinitesimal infinitesimal element investigate latus rectum left-hand member length Let the equation let us suppose limits of integration multiple integral octant ordinate parallel perpendicular plane curve polar coordinates positive probability problem r-axis r-integration radii radius vector range of integration rectangular replaced respectively result revolution right-hand member Section shews slice solid sphere substituting surface surface of revolution surface-element theorem tion transformation triangle triple integral values variables variation volume

### Popular passages

Page 21 - Persius. The Satires. With a Translation and Commentary. By John Conington, MA, late Corpus Professor of Latin in the University of Oxford. Edited by Henry Nettleship, MA Second Edition.

Page 24 - Bishop Stubbs's and Professor Freeman's Books The Constitutional History of England, in its Origin and Development.