 | George Salmon, Arthur Cayley - 1873 - 379 lapas
...polars (or lhat of geometrical duality) : viz. we do not demonstrate the first theorem and deduce ^frorn it the other, but we do at one and the same time demonstrate the two theorems: our (a:, y^ z) instead of meaning point-coordinates may mean line-coordinates, and the demonstration is... | |
 | Royal Astronomical Society - 1879 - 598 lapas
...reciprocal polars (or that of geometrical duality) : viz., we do not demonstrate the first theorem and deduce from it the other, but we do at one and the...same time demonstrate the two theorems : our (x, y, ••) instead of meaning point coordinates may mean line coordinates, and the demonstration is in... | |
 | Royal Astronomical Society - 1879 - 602 lapas
...reciprocal polars (or that of geometrical duality) : viz., we do not demonstrate the first theorem and deduce from it the other, but we do at one and the same time demonstrate the two theorems : our (a;, y, z) instead of meaning point coordinates may mean line coordinates, and the demonstration is... | |
 | George Salmon - 1879 - 426 lapas
...reciprocal polars (or that of geometrical duality), vijs. we do not demonstrate the first theorem and deduce from it the other, but we do at one and the same time demonstrate the two theorems; our (ar, y, z) instead of meaning point-coordinates may mean line-coordinates, and the demonstration is... | |
 | George Salmon - 1879 - 424 lapas
...reciprocal polars (or that of geometrical duality), viz. we do not demonstrate the first theorem and deduce from it the other, but we do at one and the same time demonstrate the two theorems; our (a:, y, e) instead of meaning point-coordinates may mean line-coordinates, and the demonstration is... | |
 | Royal Astronomical Society - 1879 - 594 lapas
...geometrical duality) : viz., we do not demonstrate the first theorem and deduce from it the other, bnt we do at one and the same time demonstrate the two theorems : our (x, y, 2) instead of meaning point coordinates may mean line coordinates, and the demonstration is in every... | |
 | George Salmon - 1879 - 424 lapas
...deduce from it the other, but we do at one and the same time demonstrate the two theorems; our (or, y, z) instead of meaning point-coordinates may mean line-coordinates, and the demonstration is in every step thereof a demonstration of the correlative theorem. 23. And in like manner when any theorem... | |
 | Arthur Cayley - 1896 - 676 lapas
...line-equation (»$f, 17, f)" = 0 is the relation which is satisfied by the line-coordinates (f, 17, f) of each line (tangent) of the curve. There is in...according to a cross division, are Proper. Improper. , ... (1. The stationary point, 2. The double point, or node; romt-smgulanties — •( -, I cusp,... | |
 | Arthur Cayley - 1896 - 676 lapas
...deduce from it the other, but we do at one and the same time demonstrate the two theorems ; our (a;, y, z) instead of meaning point-coordinates may mean...according to a cross division, are Proper. Improper. -. . , (1. The stationary point, 2. The double point, or node; roint-singularities — i . , I cusp,... | |
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... from it by the theory of reciprocal polars (or that of geometrical duality), viz. we do not demonstrate the first theorem and deduce from it the other, but we do at one and the same time demonstrate the two theorems; our (a:, y, e) instead of meaning... 