A Treatise on Infinitesimal Calculus ... |
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Page xxiii
... SURFACES , PLANE AND CURVED . SECTION 1. - Quadrature of Plane Surfaces ; Cartesian Coordinates . 219. Investigation of the surface - element .. .. .. 301 220. Examples of quadrature of plane surfaces .. .. .. 302 221. The order of ...
... SURFACES , PLANE AND CURVED . SECTION 1. - Quadrature of Plane Surfaces ; Cartesian Coordinates . 219. Investigation of the surface - element .. .. .. 301 220. Examples of quadrature of plane surfaces .. .. .. 302 221. The order of ...
Page xxiv
... surface - element in terms of r and p 231. Quadrature of a surface between a curve , its evolute , and two bounding radii of curvature 316 .. 317 SECTION 3. - Quadrature of Surfaces of Revolution . 232. Investigation of the surface ...
... surface - element in terms of r and p 231. Quadrature of a surface between a curve , its evolute , and two bounding radii of curvature 316 .. 317 SECTION 3. - Quadrature of Surfaces of Revolution . 232. Investigation of the surface ...
Page xxv
... Surface . 257. Investigation of volume - element 258. Examples of cubature .. .. 354 .. .. 356 259. A simplification when the element - function is of the form F x ( 27 , 2 % / 37 , - / - ) x y a'ō 260. The modification of the general ...
... Surface . 257. Investigation of volume - element 258. Examples of cubature .. .. 354 .. .. 356 259. A simplification when the element - function is of the form F x ( 27 , 2 % / 37 , - / - ) x y a'ō 260. The modification of the general ...
Page xxvii
... surface - elements .. 299. The variation of a volume - element 300. The variation of a product of differentials .. .. 411 412 .. 412 .. 414 415 .. 417 419 420 422 424 426 ing such variations of fr off'r 301. The variation of definite ...
... surface - elements .. 299. The variation of a volume - element 300. The variation of a product of differentials .. .. 411 412 .. 412 .. 414 415 .. 417 419 420 422 424 426 ing such variations of fr off'r 301. The variation of definite ...
Page xxviii
... Geodesic Lines . 474 336. The equations of a geodesic , and the proof that the osculat- ing plane of a geodesic is a normal plane of the surface 475 337. Another equation of a geodesic .. 338. The radius xxviii ANALYTICAL TABLE.
... Geodesic Lines . 474 336. The equations of a geodesic , and the proof that the osculat- ing plane of a geodesic is a normal plane of the surface 475 337. Another equation of a geodesic .. 338. The radius xxviii ANALYTICAL TABLE.
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A Treatise on Infinitesimal Calculus: Containing Differential and Integral ... Bartholomew Price No preview available - 2015 |
Common terms and phrases
a₁ angle application axis Beta-function bx dx consequently convergent convergent series coordinates cosec cx² cycloid definite integral denoted determined double integral dx a² dx dx dx dy dx² dy dz dy² dz dy dx e-ax element-function ellipse equal evaluation examples expressed fraction function Gamma-function geodesic geometrical given Hence infinite infinitesimal infinitesimal element Integral Calculus intrinsic equation length let us suppose limits of integration logr multiple integral plane curve preceding problem proper fraction quantity radius range of integration replaced result right-hand member subject-variable substituting surface symbols theorem tion values variables variation x-integration x₁ x2 dx x²)¹ x²)³