A Treatise on Infinitesimal Calculus ... |
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Page xix
... Geometrical interpretation of the process .. 114. Application of the process to Mensuration 115. Approximation by means of known integrals 139 .. .. 141 142 .. .. 144 147 116. Approximate values given by the forms of definite integrals ...
... Geometrical interpretation of the process .. 114. Application of the process to Mensuration 115. Approximation by means of known integrals 139 .. .. 141 142 .. .. 144 147 116. Approximate values given by the forms of definite integrals ...
Page xxi
... Geometrical Problems solved by means of Single Definite Integration . 173. Statement and requirements of the ... geometrical and harmonical progression 180. If the terms of a series decrease in magnitude and are alternately positive and ...
... Geometrical Problems solved by means of Single Definite Integration . 173. Statement and requirements of the ... geometrical and harmonical progression 180. If the terms of a series decrease in magnitude and are alternately positive and ...
Page xxii
... geometrical interpretation of the discontinuity of the series .. .. 260 264 .. 199. The value of the function at the points of discontinuity 265 200. Forms of the functions when the limits cover the complete .. period 266 201. Another ...
... geometrical interpretation of the discontinuity of the series .. .. 260 264 .. 199. The value of the function at the points of discontinuity 265 200. Forms of the functions when the limits cover the complete .. period 266 201. Another ...
Page xxiv
... the system , and examples of the same 246. Geometrical explanation and interpretation 247. The value of a length - element in terms of the same .. .. 337 .. 338 339 248. The value of a surface - element in terms xxiv ANALYTICAL TABLE.
... the system , and examples of the same 246. Geometrical explanation and interpretation 247. The value of a length - element in terms of the same .. .. 337 .. 338 339 248. The value of a surface - element in terms xxiv ANALYTICAL TABLE.
Page xxv
... geometrical interpretation of the general formula for the transformation of a double integral 250. More general forms of curvilinear coordinates .. CHAP . X. CUBATURE OF SOLIDS , SECTION 1. - Cubature of Solids of Revolution . 251 ...
... geometrical interpretation of the general formula for the transformation of a double integral 250. More general forms of curvilinear coordinates .. CHAP . X. CUBATURE OF SOLIDS , SECTION 1. - Cubature of Solids of Revolution . 251 ...
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A Treatise on Infinitesimal Calculus: Containing Differential and Integral ... Bartholomew Price No preview available - 2015 |
Common terms and phrases
a₁ a₂ angle application axis Beta-function bx dx consequently convergent series coordinates cosec cx² cycloid definite integral denoted determined differential double integral dx a² dx dx dx dy dx Ex dx² dy dx dy² e-ax element-function ellipse equal evaluation expressed find the area finite and continuous fraction function Gamma-function geometrical given Hence infinite infinitesimal infinitesimal element Integral Calculus intrinsic equation involute left-hand member length let us suppose limits of integration multiple integrals plane curve polar coordinates preceding proper fraction radius range of integration replaced result right-hand member subject-variable substituting surface symbols theorem tion values variable x-integration x₁ x²)¹ x²)³ αξ πα