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 vii
... intersection of tangents at fixed angle Equilateral Hyperbola : its Properties 161 CONJUGATE DIAMETERS : their Properties ( see also p . 154 ) 162 163 · Length of central Perpendicular on Tangent 164 Angle between Conjugate Diameters ...
... intersection of tangents at fixed angle Equilateral Hyperbola : its Properties 161 CONJUGATE DIAMETERS : their Properties ( see also p . 154 ) 162 163 · Length of central Perpendicular on Tangent 164 Angle between Conjugate Diameters ...
Página viii
... intersection of two Normals 170 • Properties of Foci 171 Sum or difference of Focal Radii constant 172 Property of Focus and Directrix 173 Rectangle under Focal Perpendiculars on Tangent is constant 174 Focal Radii equally inclined to ...
... intersection of two Normals 170 • Properties of Foci 171 Sum or difference of Focal Radii constant 172 Property of Focus and Directrix 173 Rectangle under Focal Perpendiculars on Tangent is constant 174 Focal Radii equally inclined to ...
Página ix
... intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of intersection of ...
... intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of intersection of ...
Página x
... Intersection intersect in threes Brianchon's Theorem ( see also pp . 268 , 304 ) · 232 • 233 If three Conics have a common Chord , their other Chords intersect in a Point Pascal's Theorem ( see also pp . 268 , 289 , 304 , 307 ) 233 234 ...
... Intersection intersect in threes Brianchon's Theorem ( see also pp . 268 , 304 ) · 232 • 233 If three Conics have a common Chord , their other Chords intersect in a Point Pascal's Theorem ( see also pp . 268 , 289 , 304 , 307 ) 233 234 ...
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 259 260 260 260 Equation of Asymptotes of a Conic given by general ...
... 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 259 260 260 260 Equation of Asymptotes of a Conic given by general ...
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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