A Treatise on Infinitesimal Calculus ... |
From inside the book
Results 1-5 of 96
Page vii
... length , and the useful theorems arising out of them , and due to Dirichlet and Liouville , were explained and applied . At that time also it was unnecessary to give any general process for evaluat- ing Definite Integrals ; now Cauchy's ...
... length , and the useful theorems arising out of them , and due to Dirichlet and Liouville , were explained and applied . At that time also it was unnecessary to give any general process for evaluat- ing Definite Integrals ; now Cauchy's ...
Page viii
... length , although the higher parts of these subjects are omitted because they are not suited to a treatise intended mainly for educational use . The several parts of the treatise have been enlarged ; of the more difficult portions ...
... length , although the higher parts of these subjects are omitted because they are not suited to a treatise intended mainly for educational use . The several parts of the treatise have been enlarged ; of the more difficult portions ...
Page xii
... length the properties of geodesic lines , and in an especial manner those of geodesics on an ellipsoid . The third part in which Differential Equations , that is element - functions involving two or more de- pendent variables , are ...
... length the properties of geodesic lines , and in an especial manner those of geodesics on an ellipsoid . The third part in which Differential Equations , that is element - functions involving two or more de- pendent variables , are ...
Page xx
... length- element 155. Examples of rectification 197 198 .. 156. Examples of rectification by the aid of subsidiary angles .. 202 157 , 158. The lengths of elliptic arcs 203 .. 159. Fagnani's theorem 206 .. 160. General character of ...
... length- element 155. Examples of rectification 197 198 .. 156. Examples of rectification by the aid of subsidiary angles .. 202 157 , 158. The lengths of elliptic arcs 203 .. 159. Fagnani's theorem 206 .. 160. General character of ...
Page xxi
... length - element ; rectangular coor- dinates .. 165. Determination of the length - element ; polar coordinates .. SECTION 4. - Properties of Curves depending on the Length of the arc : the Intrinsic Equation of a curve . 166 ...
... length - element ; rectangular coor- dinates .. 165. Determination of the length - element ; polar coordinates .. SECTION 4. - Properties of Curves depending on the Length of the arc : the Intrinsic Equation of a curve . 166 ...
Contents
1 | |
4 | |
18 | |
41 | |
48 | |
53 | |
71 | |
83 | |
322 | |
323 | |
324 | |
326 | |
327 | |
328 | |
330 | |
332 | |
85 | |
98 | |
104 | |
105 | |
108 | |
111 | |
117 | |
121 | |
123 | |
130 | |
134 | |
144 | |
150 | |
154 | |
155 | |
161 | |
169 | |
177 | |
184 | |
190 | |
197 | |
206 | |
210 | |
217 | |
222 | |
224 | |
231 | |
240 | |
249 | |
255 | |
256 | |
267 | |
279 | |
283 | |
287 | |
290 | |
302 | |
307 | |
308 | |
310 | |
311 | |
312 | |
313 | |
315 | |
316 | |
317 | |
319 | |
321 | |
333 | |
335 | |
337 | |
338 | |
339 | |
354 | |
366 | |
372 | |
376 | |
382 | |
388 | |
389 | |
395 | |
396 | |
403 | |
405 | |
411 | |
414 | |
420 | |
426 | |
427 | |
430 | |
436 | |
461 | |
482 | |
491 | |
511 | |
513 | |
520 | |
528 | |
556 | |
569 | |
589 | |
597 | |
606 | |
614 | |
615 | |
622 | |
629 | |
643 | |
651 | |
663 | |
666 | |
673 | |
680 | |
687 | |
693 | |
Other editions - View all
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