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 viii
... Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 255 , 284 ) . 183 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord ( see also p . 321 ) . 183 · Polar Equation , Focus being Pole ...
... Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 255 , 284 ) . 183 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord ( see also p . 321 ) . 183 · Polar Equation , Focus being Pole ...
Página ix
... Focus on Normal Coordinates of intersection of two Normals Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 338 ) Given three Points on Equilateral Hyperbola , a fourth is given ...
... Focus on Normal Coordinates of intersection of two Normals Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 338 ) Given three Points on Equilateral Hyperbola , a fourth is given ...
Página x
... Focus have two imaginary common Tangents ( see also pp . 320 , 353 ) Method of finding Coordinates of Foci of given Conic ( see also p . 353 ) Relation between Perpendiculars from any Point of Conic on sides of inscribed Quadrilateral ...
... Focus have two imaginary common Tangents ( see also pp . 320 , 353 ) Method of finding Coordinates of Foci of given Conic ( see also p . 353 ) Relation between Perpendiculars from any Point of Conic on sides of inscribed Quadrilateral ...
Página xi
... Focus of a Conic given three Tangents ( see also pp . 239 , 353 ) Directrix of Parabola passes through intersection of Perpendiculars of circum- 275 scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four ...
... Focus of a Conic given three Tangents ( see also pp . 239 , 353 ) Directrix of Parabola passes through intersection of Perpendiculars of circum- 275 scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four ...
Página xii
... Focus 284 · Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 ...
... Focus 284 · Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 ...
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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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