| George Salmon - Conic sections - 1852 - 334 pages
...ju2),~2. We see thus (as we found already, Art. 26) that the 3/> points, •where the curve of the pih **degree meets the cubic, are such, that all but one...intersection. The tangents will be 2a2L - 3a2R + M = 0,** 2j32L - 3/32R + M = 0, where a + /3 + 7 = 0, and j is known. We eliminate a, |3 thus : first, subtract... | |
| George Salmon - Curves, Algebraic - 1852 - 329 pages
...be R 3 R We see thus (as we found already, Art. 26) that the op points, where the curve of the p th **degree meets the cubic, are such, that all but one...locus of their intersection. The tangents will be** 2a 3 L - 3a 2 R + M = 0, 2/3 3 L-3j3 2 Rf M=0, where a + j3 + 7 = 0, and y is known. We eliminate a,... | |
| Bartholomew Price - Calculus - 1857 - 660 pages
...through these several pairs ; and as these lines arc not tangents in the ordinary meaning of the word, **the number of tangents which can be drawn to the curve from** a given point is to be diminished by three for each cusp. Hence if a curve has K cusps, the number... | |
| George Salmon - Geometry, Analytic - 1862 - 465 pages
...satisfythat equation. This problem will have a definite number of solutions, and the number will plainly be **the number of tangents which can be drawn to the curve from** an arbitrary point; that is to say, the class of the curve. For example, the envelope of the line act*... | |
| George Salmon - Geometry, Analytic - 1862 - 502 pages
...that equation. This problem will have a definite number of solutions, and the number will plainly be **the number of tangents which can be drawn to the curve from** an arbitrary point; that is to say, the class of the curve. For example, the envelope of the line where... | |
| George Salmon - Curves, Algebraic - 1879 - 424 pages
...determine indirectly the number of double tangents of a curve of the «th order. The equation of the system **of tangents which can be drawn to the curve from any point** x'y'z, may be derived from the equation A=0 by the method used (Conies, Arts. 92, 294). Any point on... | |
| Arthur Cayley - Mathematics - 1896 - 663 pages
...number of inflexions, and number of double tangents, — first, as regards the class, this is equal to **the number of tangents which can be drawn to the curve from** an arbitrary point, or what is the same thing, it is equal to the number of the points of contact of... | |
| Arthur Cayley - Mathematics - 1896 - 674 pages
...number of inflexions, and number of double tangents, — first, as regards the class, this is equal to **the number of tangents which can be drawn to the curve from** an arbitrary point, or what is the same thing, it is equal to the number of the points of contact of... | |
| H. F. Baker - 1954 - 270 pages
...the curve (other than at the multiple points), no one of which is common to all of them. Also that **the number of tangents which can be drawn to the curve from** an arbitrary point is 2m + 2p — 2. We have also shewn that the theory, for a curve whose multiple... | |
| |