A Treatise on Infinitesimal Calculus: Differential calculus. 1857University Press, 1857 - Calculus |
From inside the book
Results 1-5 of 100
Page xxi
Bartholomew Price. 211. The number of given points through which a curve of the nth degree may pass 327 212. The ... point . The class of a curve 346 224. Joachimsthal's method of tangents 348 225. The equation of the pencil of tangents ...
Bartholomew Price. 211. The number of given points through which a curve of the nth degree may pass 327 212. The ... point . The class of a curve 346 224. Joachimsthal's method of tangents 348 225. The equation of the pencil of tangents ...
Page xxv
... a common tangent intersect or not at the common point , according as the contact is of an even or odd order 461 462 462 464 308. Order of contact dependent on the number of undetermined constants in the equation to a curve 464 309 , 310 ...
... a common tangent intersect or not at the common point , according as the contact is of an even or odd order 461 462 462 464 308. Order of contact dependent on the number of undetermined constants in the equation to a curve 464 309 , 310 ...
Page 11
... a point of view , a term ay3 , consisting of more than three dimensions , would be uninterpretable and impossible . Hence we conclude , that ( 1 ) The symbols , whose laws and combinations are con- sidered in the Science of Number ...
... a point of view , a term ay3 , consisting of more than three dimensions , would be uninterpretable and impossible . Hence we conclude , that ( 1 ) The symbols , whose laws and combinations are con- sidered in the Science of Number ...
Page 30
... a point moving according to a given law , and the motion to be carried on during a finite time , and the time to be resolved into very short instants , then the space passed over in one of these instants is the infinitesimal increment ...
... a point moving according to a given law , and the motion to be carried on during a finite time , and the time to be resolved into very short instants , then the space passed over in one of these instants is the infinitesimal increment ...
Page 82
... particular combination of the variables . Many cases of such functions will occur in the sequel , and we shall then have to consider them from a geometrical point of view : here I pro- pose to exhibit their properties from an analytical ...
... particular combination of the variables . Many cases of such functions will occur in the sequel , and we shall then have to consider them from a geometrical point of view : here I pro- pose to exhibit their properties from an analytical ...
Contents
1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 | |
8 | |
320 | |
326 | |
331 | |
334 | |
338 | |
344 | |
350 | |
356 | |
9 | |
10 | |
11 | |
12 | |
13 | |
15 | |
16 | |
30 | |
31 | |
32 | |
34 | |
37 | |
57 | |
58 | |
71 | |
85 | |
93 | |
94 | |
101 | |
113 | |
114 | |
119 | |
120 | |
125 | |
137 | |
143 | |
149 | |
156 | |
172 | |
180 | |
185 | |
202 | |
212 | |
224 | |
230 | |
232 | |
236 | |
243 | |
250 | |
257 | |
258 | |
259 | |
260 | |
262 | |
263 | |
264 | |
266 | |
270 | |
271 | |
273 | |
274 | |
279 | |
280 | |
282 | |
284 | |
285 | |
287 | |
288 | |
291 | |
292 | |
293 | |
295 | |
297 | |
301 | |
303 | |
307 | |
311 | |
359 | |
367 | |
373 | |
381 | |
388 | |
393 | |
411 | |
417 | |
423 | |
433 | |
439 | |
447 | |
454 | |
461 | |
468 | |
475 | |
481 | |
491 | |
493 | |
494 | |
495 | |
496 | |
497 | |
498 | |
500 | |
501 | |
502 | |
503 | |
504 | |
506 | |
509 | |
511 | |
513 | |
514 | |
516 | |
518 | |
520 | |
521 | |
534 | |
547 | |
553 | |
559 | |
565 | |
574 | |
575 | |
576 | |
579 | |
582 | |
584 | |
586 | |
589 | |
591 | |
593 | |
594 | |
597 | |
598 | |
600 | |
601 | |
603 | |
604 | |
606 | |
607 | |
608 | |
609 | |
610 | |
Other editions - View all
Common terms and phrases
a₁ algebraical angles b₁ becomes Calculus change of sign changes sign circle coefficients constant cosec curve d2F d2F d²u d²x d²y d³u d³y derived function determine differential equation dr dr dr dy dx dx dx dy dx² dy dx dy dy dy dz dy² dz dx equal equicrescent explicit function expression F(xo F(xo+h factor finite quantity fraction func given Hence homogeneous function increases increments indeterminate form infinite infinitesimal Infinitesimal Calculus infinity involved logarithms loge Maclaurin's maxima and minima maximum or minimum minimum value negative partial derived-functions positive primitive equation radius replaced result right-hand member roots Similarly sin x singular value Sturm's Theorem substituting suppose symbols Theorem tion vanish variables variation versin whence zero