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 |
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Página iv
... Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of ... Fixed Point · Centre of Mean Position of a series of Points Right Line passes through a Fixed Point if Constants in its ...
... Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of ... Fixed Point · Centre of Mean Position of a series of Points Right Line passes through a Fixed Point if Constants in its ...
Página viii
... Point on Conic passes through a fixed 174 Point on Normal ( see also pp . 270 , 285 ) 175 Coordinates of intersection of two Normals 175 · Properties of FOCI 177 • Sum or difference of Focal Radii constant 177 Property of Focus and ...
... Point on Conic passes through a fixed 174 Point on Normal ( see also pp . 270 , 285 ) 175 Coordinates of intersection of two Normals 175 · Properties of FOCI 177 • Sum or difference of Focal Radii constant 177 Property of Focus and ...
Página x
... Point of Conic on sides of inscribed Quadrilateral 235 236 237 238 · 238 239 239 239 Anharmonic Property of Conics ... fixed Lines ( see also pp . 319 , 349 ) 250 · To inscribe in a Conic a Triangle whose sides pass through fixed Points ...
... Point of Conic on sides of inscribed Quadrilateral 235 236 237 238 · 238 239 239 239 Anharmonic Property of Conics ... fixed Lines ( see also pp . 319 , 349 ) 250 · To inscribe in a Conic a Triangle whose sides pass through fixed Points ...
Página xi
... Point be within or without a Conic 260 261 · Discriminant of Tangential Equation 262 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 262 · touching four Lines ...
... Point be within or without a Conic 260 261 · Discriminant of Tangential Equation 262 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 262 · touching four Lines ...
Página xii
... 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 to a variable Point , how cut any Parallel to Asymptote 296 • 297 ...
... 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 to a variable Point , how cut any Parallel to Asymptote 296 • 297 ...
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Outras edições - Ver tudo
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Visualização integral - 1879 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2016 |
Palavras e frases frequentes
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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