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
Resultados 1-5 de 92
Página iii
... Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes ... Perpendicular on a given Line of Perpendiculars of Triangle of Perpendiculars at Middle Points of Sides of Line ...
... Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes ... Perpendicular on a given Line of Perpendiculars of Triangle of Perpendiculars at Middle Points of Sides of Line ...
Página iv
... Perpendicular • Length of Perpendicular on a Line Perpendiculars at middle Points of Sides meet in a Point Angle between two Lines : Trilinear Coordinates 55 55 56 · 57 57 57 59 59 60 · 34 , 60 60 · 61 Trilinear Equation of Parallel to ...
... Perpendicular • Length of Perpendicular on a Line Perpendiculars at middle Points of Sides meet in a Point Angle between two Lines : Trilinear Coordinates 55 55 56 · 57 57 57 59 59 60 · 34 , 60 60 · 61 Trilinear Equation of Parallel to ...
Página vii
... Perpendicular on Tangent 169 Angle between conjugate Diameters • 169 Locus of intersection of Tangents which cut at righ Angles ( see also pp . 166 , 269 , 352 ) 171 Supplemental Chords 171 • ( see also pp . 287 , 299 ) • To construct a ...
... Perpendicular on Tangent 169 Angle between conjugate Diameters • 169 Locus of intersection of Tangents which cut at righ Angles ( see also pp . 166 , 269 , 352 ) 171 Supplemental Chords 171 • ( see also pp . 287 , 299 ) • To construct a ...
Página viii
... Perpendicular on Tangent : 182 Angle subtended at the Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 255 , 284 ) . 183 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord ( see also ...
... Perpendicular on Tangent : 182 Angle subtended at the Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 255 , 284 ) . 183 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord ( see also ...
Página ix
... Perpendicular from Focus on Normal Coordinates of intersection of two Normals Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 338 ) Given three Points on Equilateral Hyperbola ...
... Perpendicular from Focus on Normal Coordinates of intersection of two Normals Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 338 ) Given three Points on Equilateral Hyperbola ...
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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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