 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...take coordinates a proportional to -j- , •=- , 7 ; that is, we may take as coordinates -=;- , -^ , 1 ; we have thus a system of two coordinates, which...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... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...coordinates proportional to -.— , -~- , 7 ; that is, we may take as coordinates ^r , -„• 1 1 i we have thus a system of two coordinates, which are...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... | |
 | Royal Astronomical Society - Astronomy - 1879 - 598 pages
...point coordinates any descriptive theorem whatever, we demonstrate the correlative theorem dedncible from it by the theory of reciprocal polars (or that...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 - Astronomy - 1879 - 602 pages
...point coordinates any descriptive theorem whatever, \ve demonstrate the correlative theorem dedncible from it by the theory of reciprocal polars (or that...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... | |
 | Astronomy - 1879 - 600 pages
...coordi-nates any descriptive theorem whatever, we demonstrate the corrtlative theorem dcduciblo from it-by the theory of reciprocal polars (or that of geometrical...theorem and deduce from it the other, but we do at one nnd the same time demonstrate the two theorems: our (A y, ::) instead of meaning point coordinates... | |
 | Royal Astronomical Society - Astronomy - 1879 - 594 pages
...point coordi. nates any descriptive theorem whatever, we demonstrate the correlative theorem dedncible from it by the theory of reciprocal polars (or that...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... | |
 | Arthur Cayley - Mathematics - 1896 - 663 pages
...theorem; that is, we do not demonstrate the one theorem, and then (as by the method of reciprocal polars) deduce from it the other, but we do at one and the...may mean line-coordinates, and the demonstration is then in every step of it a demonstration of the correlative theorem. The above dual generation explains... | |
 | Arthur Cayley - Mathematics - 1896 - 676 pages
...; that is, we do not demonstrate the one theorem, and then (as by the method of reciprocal polars) deduce from it the other, but we do at one and the...may mean line-coordinates, and the demonstration is then in every step of it a demonstration of the correlative theorem. The above dual generation explains... | |
 | Arthur Cayley - Mathematics - 1896 - 676 pages
...; that is, we do not demonstrate the one theorem, and then (as by the method of reciprocal polars) 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... | |
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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 (or, y, z) instead of meaning... 