A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
Dentro del libro
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Página x
... Pascal's Theorem ( see also pp . 280 , 301 , 316 , 319 , 379 ) Steiner's Supplement to Pascal's Theorem ( see also p . 379 ) 244 245 · 246 Circles circumscribing the Triangles formed by four Lines meet in a Point When five Lines are ...
... Pascal's Theorem ( see also pp . 280 , 301 , 316 , 319 , 379 ) Steiner's Supplement to Pascal's Theorem ( see also p . 379 ) 244 245 · 246 Circles circumscribing the Triangles formed by four Lines meet in a Point When five Lines are ...
Página xii
... Pascal's Theorem and Brianchon's mutually reciprocal 279 • 280 Radical Axes and Centres of Similitude of Conics having double contact with a given one 282 • • Polar of one Circle with regard to another Reciprocation of Theorems ...
... Pascal's Theorem and Brianchon's mutually reciprocal 279 • 280 Radical Axes and Centres of Similitude of Conics having double contact with a given one 282 • • Polar of one Circle with regard to another Reciprocation of Theorems ...
Página xiii
... Theorem ( see also p . 289 ) 319 of Pascal's Theorem 319 Projection of Properties concerning Foci 320 The six Vertices of two Triangles circumscribing a Conic , lie on the same Conic , ( see also p . 343 ) 320 Projections of Properties ...
... Theorem ( see also p . 289 ) 319 of Pascal's Theorem 319 Projection of Properties concerning Foci 320 The six Vertices of two Triangles circumscribing a Conic , lie on the same Conic , ( see also p . 343 ) 320 Projections of Properties ...
Página 245
... theorem of Art . 264 may be considered as a still further extension of the same theorem , and three conics which ... Pascal's theorem , ” that the three intersections of the opposite sides of any hexagon inscribed in a conic section are ...
... theorem of Art . 264 may be considered as a still further extension of the same theorem , and three conics which ... Pascal's theorem , ” that the three intersections of the opposite sides of any hexagon inscribed in a conic section are ...
Página 246
... theorem , obtain a number of different theorems concerning the same six ... Pascal's lines which are obtained by taking the vertices in the orders ... Pascal's theorem . It remains true if the second line be at infinity and the lines ba ...
... theorem , obtain a number of different theorems concerning the same six ... Pascal's lines which are obtained by taking the vertices in the orders ... Pascal's theorem . It remains true if the second line be at infinity and the lines ba ...
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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conic touching conjugate diameters corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola infinite distance inscribed intercept last Article 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 reciprocal rectangle represents right angles right line second degree sides sin² square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices