A Treatise on Infinitesimal Calculus ... |
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Page xxi
... referred to polar coordinates , and ex- amples 226 SECTION 6. - Geometrical Problems solved by means of Single Definite Integration . 173. Statement and requirements of the problems 228 dy 174. Examples in which is a given function of x ...
... referred to polar coordinates , and ex- amples 226 SECTION 6. - Geometrical Problems solved by means of Single Definite Integration . 173. Statement and requirements of the problems 228 dy 174. Examples in which is a given function of x ...
Page xxiv
... referred to polar coordinates .. 323 SECTION 4. - Quadrature of Curved Surfaces . 236. Investigation of the surface - element .. 324 237. Examples of quadrature of curved surfaces 326 .. 238. The quadrature of the surface of the ...
... referred to polar coordinates .. 323 SECTION 4. - Quadrature of Curved Surfaces . 236. Investigation of the surface - element .. 324 237. Examples of quadrature of curved surfaces 326 .. 238. The quadrature of the surface of the ...
Page xxv
... referred to polar coor- dinates 350 352 255. A similar process of cubature extended to volumes gene- rated by plane areas moving according to other laws 256. The cubature of a solid of revolution when the generating area is referred to ...
... referred to polar coor- dinates 350 352 255. A similar process of cubature extended to volumes gene- rated by plane areas moving according to other laws 256. The cubature of a solid of revolution when the generating area is referred to ...
Page xxxii
... referred to rectangular coor- dinates 427. Trajectories of plane curves referred to polar coordinates 428. Other cases of trajectories .. 429. Trajectories of surfaces .. .. 606 608 609 610 430. Geometrical problems involving total ...
... referred to rectangular coor- dinates 427. Trajectories of plane curves referred to polar coordinates 428. Other cases of trajectories .. 429. Trajectories of surfaces .. .. 606 608 609 610 430. Geometrical problems involving total ...
Page 5
... referred to the rectangular axes , ox and oy . H is a point ( x + dx , y + dy ) infinitesimally near to E , so that EG = dx , EF = GH = dy ; conse- quently the infinitesimal rectangular area EH = dxdy . Now this rectangle is an ...
... referred to the rectangular axes , ox and oy . H is a point ( x + dx , y + dy ) infinitesimally near to E , so that EG = dx , EF = GH = dy ; conse- quently the infinitesimal rectangular area EH = dxdy . Now this rectangle is an ...
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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