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 iv
... , lie in a Right Line Equation of Line at infinity • Cartesian Equations a case of Trilinear Tangential Coordinates RRX 63 64 65 65 Reciprocal Theorems 66 CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... , lie in a Right Line Equation of Line at infinity • Cartesian Equations a case of Trilinear Tangential Coordinates RRX 63 64 65 65 Reciprocal Theorems 66 CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
Página vii
... infinity Distinction of Ellipse , Hyperbola , and Parabola Coordinates of centre of Conic Equations of Diameters Diameters of Parabola meet Curve at infinity Conjugate Diameters Equation of a Tangent Equation of a Polar Class of a Curve ...
... infinity Distinction of Ellipse , Hyperbola , and Parabola Coordinates of centre of Conic Equations of Diameters Diameters of Parabola meet Curve at infinity Conjugate Diameters Equation of a Tangent Equation of a Polar Class of a Curve ...
Página viii
... infinity 195 197 199 • 200 Intercept on Axis by two Lines , equal to projection of distance between their Poles 201 • Subnormal Constant 202 : Locus of foot of Perpendicular from Focus on Tangent 204 Locus of intersection of Tangents ...
... infinity 195 197 199 • 200 Intercept on Axis by two Lines , equal to projection of distance between their Poles 201 • Subnormal Constant 202 : Locus of foot of Perpendicular from Focus on Tangent 204 Locus of intersection of Tangents ...
Página x
... infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at mfinity if concentric , touch at infinity All Circles have imaginary common Points at infinity ( see also p . 325 ) . Form of Equation referred to a ...
... infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at mfinity if concentric , touch at infinity All Circles have imaginary common Points at infinity ( see also p . 325 ) . Form of Equation referred to a ...
Página xii
... 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 Asymptote 296 • 297 • • Parallels to Asymptotes through any Point on Curve ...
... 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 Asymptote 296 • 297 • • Parallels to Asymptotes through any Point on 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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