A Treatise on the Differential Calculus |
From inside the book
Results 1-5 of 26
Page ix
... Curvature , the Radius of Curvature , and the Centre of Curvature , of a Plane Curve . 128 Index of curvature 129 · Radius and centre of curvature 130 Expression for p when x is the independent variable 131 Expressions for p when s is ...
... Curvature , the Radius of Curvature , and the Centre of Curvature , of a Plane Curve . 128 Index of curvature 129 · Radius and centre of curvature 130 Expression for p when x is the independent variable 131 Expressions for p when s is ...
Page x
... curvature Formulæ for the coordinates of the centre of curvature in 210 terms of partial differential coefficients of u 211 137 Locus of the centre of curvature 212 138 The normal at any point of the involute a tangent at the ...
... curvature Formulæ for the coordinates of the centre of curvature in 210 terms of partial differential coefficients of u 211 137 Locus of the centre of curvature 212 138 The normal at any point of the involute a tangent at the ...
Page xi
... curvature through the pole 157 Radius of curvature in terms of r and 158 Evolutes of polar curves 159 Asymptotes 160 Asymptotic circles • 239 161 Conditions for the concavity and convexity of the curve towards the pole and for points of ...
... curvature through the pole 157 Radius of curvature in terms of r and 158 Evolutes of polar curves 159 Asymptotes 160 Asymptotic circles • 239 161 Conditions for the concavity and convexity of the curve towards the pole and for points of ...
Page 139
... algebra . The doctrine of limits on the other hand , as explicitly involving in an abstract form essential principles of our conceptions of curvature and of motion , lies in immediate contact with DEVELOPMENT OF FUNCTIONS . 139.
... algebra . The doctrine of limits on the other hand , as explicitly involving in an abstract form essential principles of our conceptions of curvature and of motion , lies in immediate contact with DEVELOPMENT OF FUNCTIONS . 139.
Page 140
William Walton. curvature and of motion , lies in immediate contact with its most interesting applications . ( 4 ) When the remainder R , keeps indefinitely diminishing without limit as r increases , Taylor's series is convergent ; the ...
William Walton. curvature and of motion , lies in immediate contact with its most interesting applications . ( 4 ) When the remainder R , keeps indefinitely diminishing without limit as r increases , Taylor's series is convergent ; the ...
Contents
6 | |
15 | |
29 | |
44 | |
57 | |
84 | |
86 | |
92 | |
189 | |
191 | |
192 | |
194 | |
197 | |
203 | |
204 | |
206 | |
99 | |
100 | |
107 | |
120 | |
137 | |
149 | |
155 | |
162 | |
168 | |
170 | |
173 | |
175 | |
178 | |
179 | |
181 | |
182 | |
185 | |
186 | |
187 | |
207 | |
209 | |
210 | |
217 | |
223 | |
230 | |
235 | |
237 | |
238 | |
239 | |
240 | |
241 | |
243 | |
245 | |
257 | |
259 | |
260 | |
261 | |
262 | |
Other editions - View all
Common terms and phrases
algebraical arbitrary functions asymptote axis Cambridge change sign constant cosec curve d'u dy d²r d²u d²x d²z d2z d2z d³u d³x d³y d³z denote df df df dx DIFFERENTIAL CALCULUS differential equations du du dy du² dv₁ dx dx dx dy dx dx dz dx² dx³ dxdy dy dF dy dx dy dy dy dy dz dy₁ dy₂ dy³ dz dx dz dy dz dz eliminate expression f(y₁ find the Differential formula ƒ Y₁ Hence implicit function increment independent variables indeterminate limit maxima and minima maximum or minimum minimum value multiplying negative partial differential coefficients points of inflection positive quantity putting regard shews Suppose tangent Taylor's Theorem total differential Trinity College University of Cambridge whence y+dy Y₁ Y₂ zero бу бх
Popular passages
Page 17 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 14 - Confirmation Day. Being a Book of Instruction for Young Persons how they ought to spend that solemn day, on which they renew the Vows of their Baptism, and are confirmed by the Bishop with prayer and the laying on of hands.
Page 11 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers.
Page 18 - Passages in Prose and Verse from English Authors for Translation into Greek and Latin ; together with selected Passages from Greek and Latin Authors for Translation into English : forming a regular course of Exercises in Classical Composition. By the Rev. H. ALFORD, MA, Vicar of Wymeswold, late Fellow of Trinity College, Cambridge. 8vo. 6».
Page 15 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled...
Page 17 - The Apology of Tertullian. With English Notes and a Preface, intended as an Introduction to the Study of Patristical and Ecclesiastical Latinity. By HA WOODHAM, LL.D. Second Edition. 8vo. 8*.
Page 13 - Butler's Three Sermons on Human Nature, and Dissertation on Virtue. Edited by W. WHEWELL, DD With a Preface and a Syllabus of the Work. Third Edition. Fcp. 8vo. 3s. 6<J. Butler's Six Sermons on Moral Subjects. A Sequel to the "Three Sermons on Human Nature.
Page 19 - VARRONIANUS. A Critical and Historical Introduction to the Philological Study of the Latin Language. By the Rev.
Page 12 - Five Sermons preached before the University of Cambridge. The first Four in November, 1851, the Fifth on Thursday, March 8th, 1849, being the Hundred and Fiftieth Anniversary of the Society for Promoting Christian Knowledge. By the late Rev. JJ BLUNT, BD CONTENTS : 1.
Page 4 - A Treatise on the Application of Analysis to SOLID GEOMETRY. Commenced by DF GREGORY, MA, late Fellow and Assistant Tutor of Trinity College, Cambridge; Concluded by W.