A Treatise on Infinitesimal Calculus ... |
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Page xviii
... contained in the limits and in the element- function .. 97. Interchange of this process with that of the definite integra- tion without alteration of value in the integral .. 108 111 111 .. 113 .. 115 .. .. 117 98. Evaluation of certain ...
... contained in the limits and in the element- function .. 97. Interchange of this process with that of the definite integra- tion without alteration of value in the integral .. 108 111 111 .. 113 .. 115 .. .. 117 98. Evaluation of certain ...
Page xxiii
... surface - element .. 220. Examples of quadrature of plane surfaces .. 221. The order of integrations changed , and examples .. 301 .. 302 306 222. Quadrature of a plane surface contained between two given OF CONTENTS . xxiii.
... surface - element .. 220. Examples of quadrature of plane surfaces .. 221. The order of integrations changed , and examples .. 301 .. 302 306 222. Quadrature of a plane surface contained between two given OF CONTENTS . xxiii.
Page xxiv
Bartholomew Price. 222. Quadrature of a plane surface contained between two given curves .. 223. Examples in illustration 224. Quadrature determined by means of substitution 225. Quadrature determined when the axes are oblique 307 308 ...
Bartholomew Price. 222. Quadrature of a plane surface contained between two given curves .. 223. Examples in illustration 224. Quadrature determined by means of substitution 225. Quadrature determined when the axes are oblique 307 308 ...
Page xxviii
... contained in the final result .. 319. Particular cases 320. Problems of relative maxima and minima 321. Determination of maxima and minima , when the element- function of the definite integral contains three variables 455 322-328 ...
... contained in the final result .. 319. Particular cases 320. Problems of relative maxima and minima 321. Determination of maxima and minima , when the element- function of the definite integral contains three variables 455 322-328 ...
Page 5
... contained between the squares described on OP and on oq , and is consequently the infinitesimal element of 2 and the sum of all such gnomons between the limits and x is evidently x2 - x2 . If the inferior limit = 0 , then the sum = x2 ...
... contained between the squares described on OP and on oq , and is consequently the infinitesimal element of 2 and the sum of all such gnomons between the limits and x is evidently x2 - x2 . If the inferior limit = 0 , then the sum = x2 ...
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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