An Elementary Treatise on Conic Sections |
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Page ix
... inscribed conic Centre - locus of conics touching four fixed lines . [ See also 137 , 270 , and 297 ] Parabola touching the axes of co - ordinates . Confocal conics Osculating conics Pairs of common chords of two conics . Invariants ...
... inscribed conic Centre - locus of conics touching four fixed lines . [ See also 137 , 270 , and 297 ] Parabola touching the axes of co - ordinates . Confocal conics Osculating conics Pairs of common chords of two conics . Invariants ...
Page x
... inscribed conic PAGE 292 293 293 294 Equation of the inscribed circle 294 Conics through four fixed points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 • • Conics ...
... inscribed conic PAGE 292 293 293 294 Equation of the inscribed circle 294 Conics through four fixed points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 • • Conics ...
Page xi
Charles Smith. A system of conics inscribed in a quadrilateral projected into confocal conics · Cross ratios of pencils and ranges unaltered by projection Conics through four fixed points are cut by any straight line in pairs of points ...
Charles Smith. A system of conics inscribed in a quadrilateral projected into confocal conics · Cross ratios of pencils and ranges unaltered by projection Conics through four fixed points are cut by any straight line in pairs of points ...
Page 42
... inscribed circle and of the escribed circles of a triangle whose angular points are given . Let ( x ' , y ′ ) , ( x ... inscribed circle on the sides of the triangle are all drawn in the same direction as those from the angular points of ...
... inscribed circle and of the escribed circles of a triangle whose angular points are given . Let ( x ' , y ′ ) , ( x ... inscribed circle on the sides of the triangle are all drawn in the same direction as those from the angular points of ...
Page 45
... inscribed circle of the triangle the equations of whose sides are 4y + 3x = 0 , 12y - 5x = 0 , y - 15 = 0 , respectively . - 25. Shew that the co - ordinates of the centre of the circle inscribed in the triangle the co - ordinates of ...
... inscribed circle of the triangle the equations of whose sides are 4y + 3x = 0 , 12y - 5x = 0 , y - 15 = 0 , respectively . - 25. Shew that the co - ordinates of the centre of the circle inscribed in the triangle the co - ordinates of ...
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Common terms and phrases
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre circumscribing coefficients College confocal conics conjugate diameters conjugate hyperbola constant corresponding cross ratio Crown 8vo curve diagonals directrix distance eccentric angles Edition ellipse envelope equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four points given points given straight line harmonic Hence imaginary inscribed latus rectum Let the co-ordinates Let the equation line joining line whose equation meet middle point nine-point circle normals pair of conjugate parabola pass pencil perpendicular point of intersection point Q points at infinity points of contact polar pole Professor projection prove quadrilateral radical axis rectangular hyperbola required equation right angles shew sides square subtend tangents triangle of reference values vertex zero
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