 | 1867 - 120 pages
...: — The locus of the foci of all Cartesian ovals which can be drawn through four given concyelic points is identical with the locus of the foci of...point whatever for a focus; and in fact this is true in general, provided the four points do .not lie on a circle. To ask for the locus of the foci of the... | |
 | Arthur Cayley - Mathematics - 1893 - 670 pages
...the theorem, that if A, B, C, D are any four points on a circle, the two circular cubics which are the locus of the foci of the conies which pass through the four points A, B, C, D, are also the locus of the intersections of the similar conies, which have for... | |
 | English periodicals - 1866 - 608 pages
...to me in conversation that he had himself obtained the foregoing equation 2+ (B, C, D)\/A = 0, for the locus of the foci of the conies which pass through the four points A, B, C, D. Cambridge, October 10, 1866. XLIX. Affinity and Heat. By H. SAINTE-CLAIRE DEVILLE*.... | |
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Cartesian ovals which can be drawn through four given concyelic points is identical with the locus of the foci of the conies which pass through the same four points; viz., the two circular cubics of which those points are foci. This extremely remarkable... 