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 iv
... Harmonic Properties of a Quadrilateral proved ( see also p . 317 ) Homologous Triangles : Centre and Axis of Homology Condition that two Lines should be mutually Perpendicular • Length of Perpendicular on a Line Perpendiculars at middle ...
... Harmonic Properties of a Quadrilateral proved ( see also p . 317 ) Homologous Triangles : Centre and Axis of Homology Condition that two Lines should be mutually Perpendicular • Length of Perpendicular on a Line Perpendiculars at middle ...
Página vii
... Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 269 ) Rectangles under segments of parallel Chords ...
... Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 269 ) Rectangles under segments of parallel Chords ...
Página viii
... Harmonic Mean 185 • Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS 186 186 ASYMPTOTES : how found 190 191 Intercepts on Chord between Curve and Asymptotes are equal Lines joining two fixed to ...
... Harmonic Mean 185 • Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS 186 186 ASYMPTOTES : how found 190 191 Intercepts on Chord between Curve and Asymptotes are equal Lines joining two fixed to ...
Página xii
... HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant Centre the Pole of the Line at infinity 295 296 Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points ...
... HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant Centre the Pole of the Line at infinity 295 296 Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points ...
Página xiii
... Harmonic System Locus of Point whence Tangents to two Conics form a Harmonic Pencil ( see also p . 345 ) PAGE 305 Condition that Line should be cut Harmonically by two Conics INVOLUTION · 306 306 307 · 308 309 • 310 310 311 313 313 ...
... Harmonic System Locus of Point whence Tangents to two Conics form a Harmonic Pencil ( see also p . 345 ) PAGE 305 Condition that Line should be cut Harmonically by two Conics INVOLUTION · 306 306 307 · 308 309 • 310 310 311 313 313 ...
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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 conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points 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 right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
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