 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...called summits, and is consequently only inadequately represented by the ultimate equation P* QP...= 0; the number and distribution of the summits is not...degenerate curve, according to the different ultimate forms P'^...= 0, and to the number and distribution of the summits on the different component curves. The... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...called summits, and is consequently only inadequately represented by the ultimate equation P*QP...= Q] the number and distribution of the summits is not...degenerate curve, according to the different ultimate forms P*^...= 0, and to the number and distribution of the summits on the different component curves. The... | |
 | Arthur Cayley - Mathematics - 1896 - 676 pages
...called summits, and is consequently only inadequately represented by the ultimate equation P'Q? . . . = 0 ; the number and distribution of the summits is...The case of a quartic curve having the ultimate form а?уг = 0 has been considered by Cayley, Comptes Rendus, t. LXXiv. p. 708 (March, 1872), [515], who... | |
 | Arthur Cayley - Mathematics - 1896 - 663 pages
...called summits, and is consequently only inadequately represented by the ultimate equation P a Q£... = 0; the number and distribution of the summits is not...degenerate curve, according to the different ultimate forms P a Q& ...= 0, and to the number and distribution of the summits on the different component curves.... | |
 | Arthur Cayley - Mathematics - 1896 - 676 pages
...called summits, and is consequently only inadequately represented by the ultimate equation P*Q? . . . = 0 ; the number and distribution of the summits is...degenerate curve, according to the different ultimate forms P"Q^ ... = 0, and to the number and distribution of the summits on the different component curves.... | |
| |
P'Q? . . . = 0 ; the number and distribution of the summits is not arbitrary, but is regulated by laws arising from the consideration of the penultimate curve, and there are of course for any given value of n various forms of degenerate curve, according... 