A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
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Página viii
... Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 244 , 272 ) 177 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord Polar Equation , Focus being Pole ( see p . 309 ) . 177 · 178 ...
... Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 244 , 272 ) 177 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord Polar Equation , Focus being Pole ( see p . 309 ) . 177 · 178 ...
Página ix
... Focus on Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 326 ) Given three Points on Equilateral ...
... Focus on Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 326 ) Given three Points on Equilateral ...
Página x
... Focus have two imaginary common tangents ( see also pp . 308 , 340 ) Method of finding Co - ordinates of Foci of given Conie ( see also p . 340 ) Relation between Perpendiculars from any point of Conie on sides of inscribed ...
... Focus have two imaginary common tangents ( see also pp . 308 , 340 ) Method of finding Co - ordinates of Foci of given Conie ( see also p . 340 ) Relation between Perpendiculars from any point of Conie on sides of inscribed ...
Página xi
... Focus of a Conic given three tangents ( see also pp . 228 , 340 ) Directrix of Parabola passes through intersection of Perpendiculars of circum- 263 scribing Triangle ( see pp . 201 , 236 , 278 , 329 ) 263 Locus of Focus given four ...
... Focus of a Conic given three tangents ( see also pp . 228 , 340 ) Directrix of Parabola passes through intersection of Perpendiculars of circum- 263 scribing Triangle ( see pp . 201 , 236 , 278 , 329 ) 263 Locus of Focus given four ...
Página xii
... Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 273 274 Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 275 ...
... Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 273 274 Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 275 ...
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Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length 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 rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices