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
... regard to a Circle or Conic Length of Tangent to a Circle • Line cut harmonically by a Circle , Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ( see also p . 130 ) ...
... regard to a Circle or Conic Length of Tangent to a Circle • Line cut harmonically by a Circle , Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ( see also p . 130 ) ...
Página x
... regard to a Conic passing through four fixed Points ( see also pp . 153 , 268 , 271 , 302 ) 253 254 · or touching four right Lines ( see also pp . 267 , 277 , 281 , 321 , 339 ) 254 · also pp . 213 , 285 ) when real , X CONTENTS .
... regard to a Conic passing through four fixed Points ( see also pp . 153 , 268 , 271 , 302 ) 253 254 · or touching four right Lines ( see also pp . 267 , 277 , 281 , 321 , 339 ) 254 · also pp . 213 , 285 ) when real , X CONTENTS .
Página xi
... regard to a Conic given by the general Equation 265 • • • DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) Coordinates of Pole of a given Line Condition that a Line should touch a Conic ( see ...
... regard to a Conic given by the general Equation 265 • • • DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) Coordinates of Pole of a given Line Condition that a Line should touch a Conic ( see ...
Página xii
... regard to another 283 · Reciprocation of Theorems concerning Angles at Focus 284 · Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between ...
... regard to another 283 · Reciprocation of Theorems concerning Angles at Focus 284 · Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between ...
Página xiii
... regard to a system of Confocal Conics 322 • The six Vertices of two self - conjugate Triangles lie on same Conic ( see also p . 341 ) Chord of a Conic passes through a fixed Point , if the Angle it subtends at a 322 fixed Point in Curve ...
... regard to a system of Confocal Conics 322 • The six Vertices of two self - conjugate Triangles lie on same Conic ( see also p . 341 ) Chord of a Conic passes through a fixed Point , if the Angle it subtends at a 322 fixed Point in Curve ...
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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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