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 v
... Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ( see also p . 130 ) • Condition that four Points should lie on a Circle , and its Geometrical meaning Polar Equation of a ...
... Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ( see also p . 130 ) • Condition that four Points should lie on a Circle , and its Geometrical meaning Polar Equation of a ...
Página vi
... Points whence Tangents to two Circles have a given Ratio Radical Centre of ... four Circles touched by same fifth Method of Inversion of Curves Quantities ... four Circles which touch the sides of a Triangle are touched by the same Circle ...
... Points whence Tangents to two Circles have a given Ratio Radical Centre of ... four Circles touched by same fifth Method of Inversion of Curves Quantities ... four Circles which touch the sides of a Triangle are touched by the same Circle ...
Página vii
... 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 , the Pole of the Line at infinity ...
... 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 , the Pole of the Line at infinity ...
Página ix
... four Tangents ( see also pp . 254 , 268 , 339 ) ditto , given three Tangents and sum of squares of Axes Locus of Foci , given four Points Intersections of perpendiculars of four Triangles formed by four Lines lie on a 215 215 215 · 216 ...
... four Tangents ( see also pp . 254 , 268 , 339 ) ditto , given three Tangents and sum of squares of Axes Locus of Foci , given four Points Intersections of perpendiculars of four Triangles formed by four Lines lie on a 215 215 215 · 216 ...
Página x
... Points · Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see ... four Lines meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents ...
... Points · Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see ... four Lines meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents ...
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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 by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates 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 imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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