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 vii
... intersection of Tangents at fixed Angle 166 • CONJUGATE DIAMETERS : their Properties ( see also p . 159 ) 167 Equilateral Hyperbola : its Properties • • 168 Length of central Perpendicular on Tangent 169 Angle between conjugate ...
... intersection of Tangents at fixed Angle 166 • CONJUGATE DIAMETERS : their Properties ( see also p . 159 ) 167 Equilateral Hyperbola : its Properties • • 168 Length of central Perpendicular on Tangent 169 Angle between conjugate ...
Página viii
... intersection of two Normals 175 Properties of Foci 177 Sum or difference of Focal Radii constant 177 • Property of Focus and Directrix 179 Rectangle under Focal Perpendiculars on Tangent is constant 180 · Focal Radii equally inclined to ...
... intersection of two Normals 175 Properties of Foci 177 Sum or difference of Focal Radii constant 177 • Property of Focus and Directrix 179 Rectangle under Focal Perpendiculars on Tangent is constant 180 · Focal Radii equally inclined to ...
Página ix
... intersection of Tangents which cut at a given Angle ( see also 213 pp . 256 , 285 ) 213 Locus of foot of Perpendicular from Focus on Normal 213 Coordinates of intersection of two Normals 214 Locus of intersection of Normals at the ...
... intersection of Tangents which cut at a given Angle ( see also 213 pp . 256 , 285 ) 213 Locus of foot of Perpendicular from Focus on Normal 213 Coordinates of intersection of two Normals 214 Locus of intersection of Normals at the ...
Página x
... Intersection intersect in threes 243 Brianchon's Theorem ( see also pp . 280 , 316 ) 244 • If three Conics have a common Chord , their other Chords intersect in a Point Pascal's Theorem ( see also pp . 280 , 301 , 316 , 319 , 379 ) ...
... Intersection intersect in threes 243 Brianchon's Theorem ( see also pp . 280 , 316 ) 244 • If three Conics have a common Chord , their other Chords intersect in a Point Pascal's Theorem ( see also pp . 280 , 301 , 316 , 319 , 379 ) ...
Página xi
... intersection of corresponding Lines of two homographic pencils Envelope of Pole of a given Point with regard to a Conic having double contact with two given ones 271 • • 271 271 Anharmonic Ratio of four Points the same as that of their ...
... intersection of corresponding Lines of two homographic pencils Envelope of Pole of a given Point with regard to a Conic having double contact with two given ones 271 • • 271 271 Anharmonic Ratio of four Points the same as that of their ...
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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 by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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