 And this again is a particular case ofthat wonderful proposition, the involution of cubics: — All the cubics which pass through eight fixed points pass also through a ninth point. Finally, reciprocate the whole figure in respect of the self-conjugate...  Mathematical Questions and Solutions - Page 821865Full view - About this book
 | 1865 - 128 pages
...again is a particular case of that wonderful proposition, the involution of cubics: — All the cubic* which pass through eight fixed points pass also through...asymptotes parallel to the sides of 234, and with a double point at (1), the tangents to which are the asymptotes of the polar circle. In fact, this... | |
 | William Allen Whitworth - Coordinates, Trilinear - 1866 - 560 pages
...analogous methods. 506. We will conclude with the following proposition which is ver}' important All cubics which pass through eight fixed points pass also through a ninth. Let ф (a, ß, 7) = 0 and yjr (a, ß, 7) = 0 be the equations to two cubics which pass through eight... | |
 | W. J. C. Miller, D. Biddle - Mathematics - 1901 - 128 pages
...triangles determined by a quadrilateral, have a common point. And this again is a particular case ofthat wonderful proposition, the involution of cubics: —...asymptotes parallel to the sides of 234, and with a double point at (1), the tangents to which are the asymptotes of the polar circle. In fact, this... | |
 | William Kingdon Clifford - Mathematics - 2007 - 768 pages
...of Steiner's paper u printed on pp. 97— 100 of Urn Vol. in. of the Reprint.] which is at once Been to be a particular case of the reciprocal of this...self-conjugate circle of any of the triangles 234, <ftc. We then get the locus of a point where the normal at (1) meets again a rectangular hyperbola... | |
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