A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
Inni boken
Resultat 1-5 av 75
Side x
... Hyperbola , and Parabola , PAGE . 103 104 105 106 107 108 • 108 110 112 . 114 118 119 • 120 120 · 122 123 124 Co - ordinates of centre of Conic , . 126 Equations of Diameters , . Conjugate Diameters , 127 129 Equation of Polars , 131 ...
... Hyperbola , and Parabola , PAGE . 103 104 105 106 107 108 • 108 110 112 . 114 118 119 • 120 120 · 122 123 124 Co - ordinates of centre of Conic , . 126 Equations of Diameters , . Conjugate Diameters , 127 129 Equation of Polars , 131 ...
Side xi
... Hyperbola , Conjugate Hyperbola ,. Asymptotes defined , Eccentricity of a Conic given by general Equation , Equations of Tangents and Polars , PAGE . • 146 • 147 148 148 149 150 Expression for Angle between two Tangents to a Conic ...
... Hyperbola , Conjugate Hyperbola ,. Asymptotes defined , Eccentricity of a Conic given by general Equation , Equations of Tangents and Polars , PAGE . • 146 • 147 148 148 149 150 Expression for Angle between two Tangents to a Conic ...
Side xii
... Hyperbola , a fourth is given , 195 Circle circumscribing any self - conjugate Triangle with respect to an Equilateral Hyperbola passes through centre , 195 Locus of Intersection of Tangents which make a given Intercept on a given ...
... Hyperbola , a fourth is given , 195 Circle circumscribing any self - conjugate Triangle with respect to an Equilateral Hyperbola passes through centre , 195 Locus of Intersection of Tangents which make a given Intercept on a given ...
Side xiv
... Hyperbola , how cut any Dia- meter , 275 Anharmonic Property of Tangents to a Parabola , 275 • How any Tangent cuts two Parallel Tangents , 275 INVOLUTION , 276 Two pairs of Points determine a system , 277 Centre and Foci , how found ...
... Hyperbola , how cut any Dia- meter , 275 Anharmonic Property of Tangents to a Parabola , 275 • How any Tangent cuts two Parallel Tangents , 275 INVOLUTION , 276 Two pairs of Points determine a system , 277 Centre and Foci , how found ...
Side xv
... Hyperbola , Fagnani's Theorem , 297 298 Locus of Vertex of Polygon circumscribing a Conic , when other Vertices move on Confocal Conics , 298 METHOD OF PROJECTIONS , 299 All Points at Infinity may be regarded as lying on a Right Line ...
... Hyperbola , Fagnani's Theorem , 297 298 Locus of Vertex of Polygon circumscribing a Conic , when other Vertices move on Confocal Conics , 298 METHOD OF PROJECTIONS , 299 All Points at Infinity may be regarded as lying on a Right Line ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes bisected bisector centre of similitude chord of contact chords of intersection circumscribing coefficients common tangents conic section conjugate diameters constant ratio Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focus four points given conic given points Hence hyperbola imaginary intercept joining the points last Article line at infinity line joining line meets meet the curve middle points mẞ ordinate origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle represent right angles right line second degree sides square substituting tangents theorem tion triangle values vertex vertices