Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
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Сторінка i
... COLLEGE . SECOND EDITION , EDITED BY WILLIAM WALTON , M. A. , TRINITY COLLEGE . CLIFFE NIVERSI LIBRARY 10 JUN 34 CAMBRIDGE : PRINTED AT THE UNIVERSITY PRESS , R PUBLISHED BY J. AND J. J. DEIGHTON ; AND SOLD BY SIMPKIN , MARSHALL & CO ...
... COLLEGE . SECOND EDITION , EDITED BY WILLIAM WALTON , M. A. , TRINITY COLLEGE . CLIFFE NIVERSI LIBRARY 10 JUN 34 CAMBRIDGE : PRINTED AT THE UNIVERSITY PRESS , R PUBLISHED BY J. AND J. J. DEIGHTON ; AND SOLD BY SIMPKIN , MARSHALL & CO ...
Сторінка vi
... as I wished , but these digressions short as they are may serve to relieve the dryness of a mere collection of Examples . TRINITY COLLEGE , October , 1841 . EDITOR'S NOTICE . THE first edition of this work , vi PREFACE .
... as I wished , but these digressions short as they are may serve to relieve the dryness of a mere collection of Examples . TRINITY COLLEGE , October , 1841 . EDITOR'S NOTICE . THE first edition of this work , vi PREFACE .
Сторінка vii
... this department of the work , the Editor is indebted to the kindness of Mr Ellis , Fellow of Trinity College . WILLIAM WALTON . CAMBRIDGE , June , 1846 . CONTENTS . CHAPTER PART I. DIFFERENTIAL CALCULUS . I. Differentiation.
... this department of the work , the Editor is indebted to the kindness of Mr Ellis , Fellow of Trinity College . WILLIAM WALTON . CAMBRIDGE , June , 1846 . CONTENTS . CHAPTER PART I. DIFFERENTIAL CALCULUS . I. Differentiation.
Сторінка 230
... College , Dublin . The method em- ployed by that author does not come within the scope of the present work , but it merits attention , as affording a ready solution of many curious problems which yield with difficulty to the power of ...
... College , Dublin . The method em- ployed by that author does not come within the scope of the present work , but it merits attention , as affording a ready solution of many curious problems which yield with difficulty to the power of ...
Сторінка 531
... College , Cam- bridge ; concluded by W. WALTON , M.A. , Trinity College Cambridge . 8vo . cloth , 10s . 6d . Walton ( William ) . Treatise on the Differential Cal- culus . Svo . cloth , 10s . 6d . Walton ( William ) . A Collection of ...
... College , Cam- bridge ; concluded by W. WALTON , M.A. , Trinity College Cambridge . 8vo . cloth , 10s . 6d . Walton ( William ) . Treatise on the Differential Cal- culus . Svo . cloth , 10s . 6d . Walton ( William ) . A Collection of ...
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a² b2 a²x² angle arbitrary constant assume asymptote becomes branches C₁ Cambridge circle co-ordinates condition Crelle's Journal curvature curve cycloid determine differential coefficients differential equation dx dx dx dy dx dx² dy dx dy dy dy dy dz dz dz eliminate ellipse equal Euler factor formula fraction function Geometry gives Hence hypocycloid infinite intersection John Bernoulli Let the equation lines of curvature locus logarithmic logarithmic spiral Multiply negative origin parabola perpendicular radius SECT singular points singular solution spiral Substituting subtangent surface tangent plane theorem triangle University of Cambridge vanish whence x²)³