A Treatise on Infinitesimal Calculus: Differential calculus. 1857University Press, 1857 |
Índice
1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 | |
8 | |
307 | |
311 | |
320 | |
326 | |
331 | |
334 | |
338 | |
346 | |
22 | |
25 | |
29 | |
32 | |
34 | |
51 | |
60 | |
70 | |
77 | |
96 | |
113 | |
114 | |
119 | |
120 | |
125 | |
131 | |
137 | |
143 | |
149 | |
156 | |
165 | |
180 | |
184 | |
186 | |
193 | |
194 | |
195 | |
196 | |
202 | |
211 | |
212 | |
217 | |
222 | |
225 | |
228 | |
232 | |
235 | |
237 | |
240 | |
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 | |
303 | |
353 | |
374 | |
381 | |
388 | |
393 | |
411 | |
417 | |
423 | |
432 | |
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 | |
555 | |
559 | |
561 | |
565 | |
574 | |
575 | |
576 | |
579 | |
582 | |
584 | |
586 | |
589 | |
591 | |
593 | |
594 | |
597 | |
598 | |
600 | |
601 | |
603 | |
604 | |
606 | |
607 | |
608 | |
609 | |
610 | |
Otras ediciones - Ver todo
A Treatise on Infinitesimal Calculus: Differential calculus. 1857 Bartholomew Price Vista completa - 1857 |
A Treatise on Infinitesimal Calculus: Differential calculus. 1857 Bartholomew Price Vista completa - 1857 |
A Treatise on Infinitesimal Calculus: Differential calculus. 1857 Bartholomew Price Vista completa - 1857 |
Términos y frases comunes
a₁ algebraical ascending powers b₁ becomes calculated change of sign changes sign coefficients constant curve d²u d²x d²y d2y dx2 d³u d³y denominator determine differential equation dr dr dr dx dx dr dx dx dx dy dx dz dx² dx2 dy2 dy d2u dy dx dy dy dy dz dy² dy³ dz dx dz dz equal equicrescent Evaluate explicit function expression F(xo F(xo+h factor finite quantity fraction given Hence homogeneous function increases increments indeterminate form infinite infinitesimal Infinitesimal Calculus infinity logarithm loge maxima and minima minimum value negative partial derived-functions particular values positive primitive equation proper fraction replaced result roots Similarly sin x singular value substituting suppose symbols Taylor's Series tion total differentials vanish variation whence x+▲x zero
Pasajes populares
Página 495 - When one medium is a vacuum, n is the ratio of the sine of the angle of incidence to the sine of the angle of refraction. retardation, S — optical path difference between two beams in an interferometer; also known as "optical path difference
Página 14 - It would, therefore, occupy 206265 times this interval or 3 years and 83 days to traverse the distance in question. Now as this is an inferior limit which it is already ascertained that even the brightest and therefore (in the absence of all other indications) the nearest stars exceed, what are we to allow for the distance of those innumerable stars of the smaller magnitudes which the telescope discloses to us ! What for the dimensions of the galaxy in whose remoter regions, as we have seen, the...
Página 315 - Find its equation. Show that the radius of curvature at each point of the curve is inversely proportional to the length of the normal intercepted between the point on the curve and the ?/-axis.
Página 12 - The powers, therefore, of our senses and mind place the limit to the finite ; but those magnitudes which severally transcend these limits, by reason of their being too great or too small, we call i...
Página 419 - Hyperbola, according as e is less than, equal to, or greater than unity.
Página 14 - It would, therefore, occupy 100000000 seconds, or upwards of three years, in such a journey, at the very lowest estimate. What, then, are we to allow for the distance of those innumerable stars of the smaller magnitudes which the telescope discloses to us ! If we admit the light of a star of each magnitude to be half that of the magnitude next above it, it will follow that a star of the first...
Página 316 - The Cycloid. The cycloid is traced out by a point in the circumference of a circle as the circle rolls along a straight line.
Página 526 - To find the general equation to cylindrical surfaces. A cylindrical surface is generated by a straight line which moves parallel to itself, and always passes through a given curve.
Página 278 - Find a point within a triangle such that the sum of the square of its distances from the three angular points is a minimum.
Página 479 - From a fixed point on the circumference of a circle chords are drawn, and on these as diameters circles are drawn.