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 iii
... Polar Coordinates CHAPTER II . THE RIGHT LINE . Two Equations represent Points A single Equation represents a Locus Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any Position ...
... Polar Coordinates CHAPTER II . THE RIGHT LINE . Two Equations represent Points A single Equation represents a Locus Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any Position ...
Página iv
... Polar Equation of a Right Line CHAPTER III . EXAMPLES ON THE RIGHT LINE . Investigation of Rectilinear Loci of Loci leading to Equations of Higher Degree Problems where it is proved that a Moveable Line always passes through a Fixed ...
... Polar Equation of a Right Line CHAPTER III . EXAMPLES ON THE RIGHT LINE . Investigation of Rectilinear Loci of Loci leading to Equations of Higher Degree Problems where it is proved that a Moveable Line always passes through a Fixed ...
Página v
... Polar of a Point with 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 ...
... Polar of a Point with 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 ...
Página vii
... Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 269 ) Rectangles ...
... Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 269 ) Rectangles ...
Página viii
... Polar Equation , Focus being Pole 184 Segments of Focal Chord have constant Harmonic Mean 185 • Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS 186 186 ASYMPTOTES : how found 190 191 Intercepts on ...
... Polar Equation , Focus being Pole 184 Segments of Focal Chord have constant Harmonic Mean 185 • Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS 186 186 ASYMPTOTES : how found 190 191 Intercepts on ...
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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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