## A treatise on the integral calculus and its applications1857 |

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Isaac Todhunter.

Isaac Todhunter.

**Cambridge**: PRINTED BY C. J. CLAY , M.A. AT THE UNIVERSITY PRESS , FOR MACMILLAN AND Co. LONDON : BELL AND DALDY . OXFORD : J. H. AND JAMES PARKER . EDINBURGH : EDMONSTON AND DOUGLAS . DUBLIN : WILLIAM ROBERTSON ... Page

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**CAMBRIDGE**.**Cambridge**: MACMILLAN AND CO . 182.6.6 . PREFACE . IN writing the present treatise on the INTEGRAL 1857 . Page 57

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**Cambridge**Mathematical Journal , Vol . III . p . 168 . 52. The remainder after n + 1 terms of the expansion of ( a + h ) in powers of h , may be expressed by a definite integral . For let $ F ( z ) = 0 ( x − 2 ) + z¤ ′ ( x − 2 ) + 1⁄2 ... Page 97

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**Cambridge**Philosophical Transactions , Vol . VIII . page 659 , and Vol . IX . page 150 . Curves of double Curvature . 120. Let x , y , z be the co - ordinates of a point on a curve in space ; x + △ x , y + △ y , z + Az_the_co ...### Other editions - View all

### Common terms and phrases

Application c² sin² Cambridge circle cloth co-ordinates constant cos² cos³ Crown 8vo curve cycloid definite integral denote differential coefficient double integral dx dx dx dy dz dy dx dz dx element ellipse equal Eulerian integral example expression Fcap Fellow of St Find the area find the volume formula function Hence indefinitely Integral Calculus integrate with respect intrinsic equation John's College latus rectum length limits M.A. Fellow MACMILLAN & CO.'S numerous obtain ordinate parabola partial fractions perpendicular plane positive preceding article radius vector result revolution revolve round round the axis shew sin² solid suppose surface tangent tion tractory transformed integral Trinity College unity vanishes variables vertex x₁ Y₁ πα аф

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Page 13 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.

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