A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
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Página v
... Conjugate and self - conjugate Triangles 91 Conjugate Triangles Homologous 92 If two Chords meet in a Point , Lines joining their extremities transversely meet on its Polar 92 26 • Distances of two Points from the centre , proportional ...
... Conjugate and self - conjugate Triangles 91 Conjugate Triangles Homologous 92 If two Chords meet in a Point , Lines joining their extremities transversely meet on its Polar 92 26 • Distances of two Points from the centre , proportional ...
Página vii
... Conjugate diameters Equation of a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 284 ) Polar properties of inscribed Quadrilateral ( see also p . 307 ) Equation of pair of Tangents from ...
... Conjugate diameters Equation of a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 284 ) Polar properties of inscribed Quadrilateral ( see also p . 307 ) Equation of pair of Tangents from ...
Página ix
... conjugate Triangle with respect to an Equilateral Hyperbola passes through centre ( see also p . 310 ) Locus of intersection of Tangents which make a given Intercept on a given Locus of centre , given four Tangents ( see also pp . 243 ...
... conjugate Triangle with respect to an Equilateral Hyperbola passes through centre ( see also p . 310 ) Locus of intersection of Tangents which make a given Intercept on a given Locus of centre , given four Tangents ( see also pp . 243 ...
Página x
... conjugate Triangle ( see also p . 242 ) Conics having same Focus have two imaginary common tangents ( see also pp . 308 , 340 ) Method of finding Co - ordinates of Foci of given Conie ( see also p . 340 ) Relation between Perpendiculars ...
... conjugate Triangle ( see also p . 242 ) Conics having same Focus have two imaginary common tangents ( see also pp . 308 , 340 ) Method of finding Co - ordinates of Foci of given Conie ( see also p . 340 ) Relation between Perpendiculars ...
Página xi
... conjugate 256 Condition that a Line should tonch a Conic ( see also pp . 147 , 328 ) 255 Hearn's Method of finding Locus of Centre of a Conic , four conditions being given 256 Equation of pair of Tangents through a given Point ( see ...
... conjugate 256 Condition that a Line should tonch a Conic ( see also pp . 147 , 328 ) 255 Hearn's Method of finding Locus of Centre of a Conic , four conditions being given 256 Equation of pair of Tangents through a given Point ( see ...
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Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadratic quadrilateral radical axis radius vector rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices