 | George Salmon - Conic sections - 1852 - 329 pages
...most interesting case is when the three tangents coincide, and the equation takes the form gpy = 2 4 ; the curve has then, beside the triple point, no other...be the points where the axis is cut, so that AF.FB = CP.FD, or so that AF.FC = BF.FD, or so that AF.FD = BF.FO.* If any line meet a Cartesian oval in... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...may also be generated as the locus of the vertex of a triangle, whose base angles move on two fixed circles, while the two sides pass through the centres...through a fixed point on the line joining them. If any chord meet a Cartesian in four points, the sum of their distances from any focus is constant ;... | |
 | Benjamin Williamson - Differential calculus - 1899 - 496 pages
...base angles of a variable triangle move on two fixed circles, while the two sides pass through tlie centres of the circles, and the base passes through a fixed point on the line joining the centres ; prove that the locus of the vertex is a Cartesian. 9. Prove that the inverse of a Cartesian... | |
 | Benjamin Williamson - Differential calculus - 1899 - 496 pages
...circles having double contact with the curve. 8. The base angles of a variable triangle move on two fixed circles, while the two sides pass through the centres of the circles, and the base pusses through a fixed point on the line joining the centres ; prove that the locus of the vertex is... | |
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From this show that the curve has three foci ; te three evanescent circles having double contact with the curve. 8. The base angles of a variable triangle move on two fixed circles, while the two sides pass through the centres of the circles, and the... 