A Treatise on Infinitesimal Calculus ... |
From inside the book
Results 1-5 of 100
Page xx
... plane curves 208 SECTION 2. - Rectification of Plane Curves ; Polar Coordinates . 161. Investigation of the general expression of the length- element 209 162. Examples of rectification .. 7 ° 163. Application of XX ANALYTICAL TABLE.
... plane curves 208 SECTION 2. - Rectification of Plane Curves ; Polar Coordinates . 161. Investigation of the general expression of the length- element 209 162. Examples of rectification .. 7 ° 163. Application of XX ANALYTICAL TABLE.
Page xxiii
... 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 integrations ...
... 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 integrations ...
Page xxiv
... Plane Surfaces ; Polar Coordinates . 226. The differential expression of a surface - element 227. Examples illustrative of it .. 312 313 228. The order of integrations inverted 315 229. Cases of various and curved limits 315 230 ...
... Plane Surfaces ; Polar Coordinates . 226. The differential expression of a surface - element 227. Examples illustrative of it .. 312 313 228. The order of integrations inverted 315 229. Cases of various and curved limits 315 230 ...
Page xxviii
... plane of a geodesic is a normal plane of the surface 475 337. Another equation of a geodesic .. 338. The radius xxviii ANALYTICAL TABLE.
... plane of a geodesic is a normal plane of the surface 475 337. Another equation of a geodesic .. 338. The radius xxviii ANALYTICAL TABLE.
Page xxxii
... plane curves 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 ...
... plane curves 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 ...
Contents
4 | |
18 | |
36 | |
48 | |
57 | |
64 | |
73 | |
85 | |
91 | |
98 | |
101 | |
105 | |
106 | |
107 | |
108 | |
109 | |
110 | |
111 | |
112 | |
113 | |
114 | |
115 | |
121 | |
126 | |
128 | |
138 | |
147 | |
150 | |
154 | |
157 | |
159 | |
162 | |
163 | |
166 | |
167 | |
169 | |
170 | |
171 | |
173 | |
177 | |
183 | |
184 | |
188 | |
189 | |
190 | |
197 | |
206 | |
222 | |
226 | |
235 | |
249 | |
256 | |
265 | |
290 | |
296 | |
297 | |
311 | |
376 | |
380 | |
382 | |
388 | |
389 | |
395 | |
396 | |
403 | |
405 | |
411 | |
426 | |
430 | |
435 | |
446 | |
452 | |
465 | |
482 | |
491 | |
504 | |
511 | |
513 | |
520 | |
528 | |
556 | |
569 | |
589 | |
597 | |
606 | |
608 | |
614 | |
615 | |
622 | |
629 | |
640 | |
643 | |
651 | |
663 | |
666 | |
673 | |
682 | |
683 | |
689 | |
694 | |
699 | |
700 | |
701 | |
703 | |
704 | |
705 | |
Other editions - View all
A Treatise On Infinitesimal Calculus: Containing Differential and Integral ... Bartholomew Price No preview available - 2018 |
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