The Collected Mathematical Papers of Arthur Cayley, 7. sējumsUniversity Press, 1894 - 610 lappuses This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature. |
Saturs
| 1 | |
| 8 | |
| 15 | |
| 26 | |
| 34 | |
| 37 | |
| 44 | |
| 54 | |
| 298 | |
| 304 | |
| 314 | |
| 330 | |
| 354 | |
| 361 | |
| 367 | |
| 375 | |
| 66 | |
| 99 | |
| 115 | |
| 121 | |
| 128 | |
| 182 | |
| 189 | |
| 241 | |
| 253 | |
| 261 | |
| 263 | |
| 384 | |
| 390 | |
| 397 | |
| 479 | |
| 493 | |
| 511 | |
| 528 | |
| 534 | |
| 541 | |
| 609 | |
Citi izdevumi - Skatīt visu
Bieži izmantoti vārdi un frāzes
a₁ angles axis b₁ bounding circle c₁ centre coefficients colatitude cone conic consider constants coordinates corresponding cos² covariants cubic curve cubic surface denote determined dianodal directrix distance double points elliptic equation expression figure fixed foci foregoing formula four points G₁ geodesic geodesic line given lines given points h₁ Hence hyperbola intersection Jacobian linear functions locus longitude m₁ meet Memoir meridian nodal nodal line nodes obtained orbit orbit-plane orbit-pole P₁ parabolic passing penumbral curve Planogram positive projection quadric quadric cone quartic surface r₁ R₂ radius regard relation respectively scroll sextic sin² symmetroid T₁ taking thence theorem three points transformation triangle trivector values variable writing x₁ y₁ y²e² α₁
Populāri fragmenti
585. lappuse - D be either in the same plane or not, and if the three rectangles AB. CD, AC .DB, AD. BC be taken; the sum of any two of them is greater than the third, except when the points lie on the circumference of a circle. Solution by
178. lappuse - 12, &c., then that the condition for this is . , 12, 13, 14, 15 =0, 21, . , 23, 24, 25 31, 32, . , 34, 35 41, 42, 43, ., 45 51, 52, 53, 54, . being, as it should be, of the order 2 in regard to the coordinates of each line. Condition that 7 given lines shall lie on a Quartic Surface.
395. lappuse - will be coordinates referring to a new set of rectangular axes ; viz., the origin is, as before, at the centre of the Earth, the axis of Z is parallel to the line joining the centres of the Sun and Moon ; the axis of X cuts at right angles the
511. lappuse - Read January 12, 1872.] THE present communication is a sequel to my paper, "The First Part of a Memoir on the Development of the Disturbing Function in the Lunar and Planetary Theories,
554. lappuse - the equation of a conic passing through three given points and having double contact with a given conic. Solution by the PROPOSER. Let the given points be the angles of the triangle (x = O, y = 0, z — 0), and let the equation of the given conic be
600. lappuse - 1819. (Proposed by C. TAYLOR, MA) — From two fixed points on a given conic pairs of tangents are drawn to a variable confocal conic, and with the fixed points as foci a conic is described passing through any one of the four points of intersection. Show that its tangent or normal at that point passes through a fixed point.
582. lappuse - (ascribed by Professor Sylvester to Mr Crofton), that "if a circle and a straight line be cut by any transversal in three points, these will be the foci of a system of Cartesian ovals having double contact with one another at two fixed points," may be enunciated under a more complete form, as follows : If in a given circle the chords
567. lappuse - OB'), then the product of the distances of any point P from the points A, A' is equal to the product of the distances of the same point P from the