A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic Andgeometric MethodsLongmans, Green and Company, 1879 - 399 páginas |
Dentro del libro
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Página iv
... Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of ... Points 50 Right Line passes through a Fixed Point if Constants in its ... infinity Cartesian Equations a case of Trilinear Tangential Coordinates ...
... Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of ... Points 50 Right Line passes through a Fixed Point if Constants in its ... infinity Cartesian Equations a case of Trilinear Tangential Coordinates ...
Página vii
... Points where Line meets a Conic Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Coordinates of centre of Conic Equations of Diameters Diameters of Parabola meet Curve at infinity ...
... Points where Line meets a Conic Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Coordinates of centre of Conic Equations of Diameters Diameters of Parabola meet Curve at infinity ...
Página x
... Points Equation of osculating Circle Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at infinity if ...
... Points Equation of osculating Circle Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at infinity if ...
Página xii
... Point infinitely distant Centre the Pole of the Line at infinity 295 296 Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to 296 Asymptote 297 ...
... Point infinitely distant Centre the Pole of the Line at infinity 295 296 Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to 296 Asymptote 297 ...
Página xiii
... Points should form a Harmonic System Locus of Point whence Tangents to two ... Infinity may be regarded as lying in a right Line 316 Projective Properties ... Infinity 330 Determination of Focus of Section of a right Cone 331 Locus of ...
... Points should form a Harmonic System Locus of Point whence Tangents to two ... Infinity may be regarded as lying in a right Line 316 Projective Properties ... Infinity 330 Determination of Focus of Section of a right Cone 331 Locus 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 bisector by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conic touching 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 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 represents right angles right line second degree sides sin² square substituting tangential equation theorem transform values vanish vertex vertices µß
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