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 vi
... Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles Properties of system of Circles having common radical Axis The limiting Points of the system Properties of Circles cutting two Circles at ...
... Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles Properties of system of Circles having common radical Axis The limiting Points of the system Properties of Circles cutting two Circles at ...
Página vii
... Locus of centre of Conic through four Points ( see also pp . 254 , 267 , 271 , 302 , 320 ) 153 CHAPTER XI . CENTRAL EQUATIONS . Transformation of general Equation to the centre Condition that it should represent right Lines . • Centre ...
... Locus of centre of Conic through four Points ( see also pp . 254 , 267 , 271 , 302 , 320 ) 153 CHAPTER XI . CENTRAL EQUATIONS . Transformation of general Equation to the centre Condition that it should represent right Lines . • Centre ...
Página viii
... Locus of foot of Perpendicular from Focus on Tangent 204 Locus of intersection of Tangents which cut at right Angles ( see also pp . 285 , 352 ) 205 Angle between two Tangents half that between corresponding Focal Radii Circle ...
... Locus of foot of Perpendicular from Focus on Tangent 204 Locus of intersection of Tangents which cut at right Angles ( see also pp . 285 , 352 ) 205 Angle between two Tangents half that between corresponding Focal Radii Circle ...
Página ix
... Locus of intersection of Tangents which cut at a given Angle ( see also 213 pp . 256 , 285 ) 213 Locus of foot of Perpendicular from Focus on Normal Coordinates of intersection of two Normals Locus of intersection of Normals at the ...
... Locus of intersection of Tangents which cut at a given Angle ( see also 213 pp . 256 , 285 ) 213 Locus of foot of Perpendicular from Focus on Normal Coordinates of intersection of two Normals Locus of intersection of Normals at the ...
Página x
... Locus of Vertex of Triangle whose sides touch a given Conic , and base Angles move on fixed Lines ( see also pp . 319 , 349 ) 250 · To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 273 , 281 , 301 ) ...
... Locus of Vertex of Triangle whose sides touch a given Conic , and base Angles move on fixed Lines ( see also pp . 319 , 349 ) 250 · To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 273 , 281 , 301 ) ...
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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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