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
Resultados 1-5 de 87
Página vii
... Hyperbola 155 156 • 157 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant 159 159 160 • 161 161 162 163 • Conjugate Hyperbola 164 Asymptotes defined 155 , 164 Eccentricity of a Conic given by general Equation ...
... Hyperbola 155 156 • 157 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant 159 159 160 • 161 161 162 163 • Conjugate Hyperbola 164 Asymptotes defined 155 , 164 Eccentricity of a Conic given by general Equation ...
Página viii
... 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 variable Point make constant Intercept on ...
... 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 variable Point make constant Intercept on ...
Página ix
... Hyperbola , a fourth is given ( see also p . 290 ) Circle circumscribing any self - conjugate Triangle with respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) Locus of intersection of Tangents which make a ...
... Hyperbola , a fourth is given ( see also p . 290 ) Circle circumscribing any self - conjugate Triangle with respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) Locus of intersection of Tangents which make a ...
Página xii
... Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation ... Hyperbola To describe a Circle touching three given Circles How to form Equation of Reciprocal 290 291 291 • 291 292 ...
... Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation ... Hyperbola To describe a Circle touching three given Circles How to form Equation of Reciprocal 290 291 291 • 291 292 ...
Página xiii
... Hyperbola , or Parabola 327 Origin of these Names · 328 Every Parabola has a Tangent at an infinite Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity 330 Determination of ...
... Hyperbola , or Parabola 327 Origin of these Names · 328 Every Parabola has a Tangent at an infinite Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity 330 Determination of ...
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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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