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
... intercepts made by variable Tangent on two parallel Tangents Or on two Conjugate Diameters Given two Conjugate Diameters to find the Axes 171 172 · 172 173 , 176 NORMAL : its Properties PAGE 173 To draw a Normal CONTENTS . vii.
... intercepts made by variable Tangent on two parallel Tangents Or on two Conjugate Diameters Given two Conjugate Diameters to find the Axes 171 172 · 172 173 , 176 NORMAL : its Properties PAGE 173 To draw a Normal CONTENTS . vii.
Página viii
... NORMAL : its Properties PAGE 173 To draw a Normal through a given Point ( see also p . 335 ) Chord subtending a right Angle at any Point on Conic passes through a fixed 174 Point on Normal ( see also pp . 270 , 285 ) 175 Coordinates of ...
... NORMAL : its Properties PAGE 173 To draw a Normal through a given Point ( see also p . 335 ) Chord subtending a right Angle at any Point on Conic passes through a fixed 174 Point on Normal ( see also pp . 270 , 285 ) 175 Coordinates of ...
Página ix
... 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 , a fourth is given ( see ...
... 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 , a fourth is given ( see ...
Página xiii
... 334 Locus of Intersection of Normals to a Conic at the extremities of Chords passing through a given Point 335 Condition that two Conics should touch 336 PAGE Criterion whether Conics intersect in two real and two CONTENTS . xiii.
... 334 Locus of Intersection of Normals to a Conic at the extremities of Chords passing through a given Point 335 Condition that two Conics should touch 336 PAGE Criterion whether Conics intersect in two real and two CONTENTS . xiii.
Página 99
... circles . * By M. Gaultier , of Tours ( Journal de l'École Polytechnique , Cahier XVI . 1813 ) . For the equations of the three radical axes are S- PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES . 99 NORMAL: its Properties.
... circles . * By M. Gaultier , of Tours ( Journal de l'École Polytechnique , Cahier XVI . 1813 ) . For the equations of the three radical axes are S- PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES . 99 NORMAL: its Properties.
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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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