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 |
Dentro del libro
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Página ix
... point Radii Vectores through Foci have equal difference of Reciprocals Examples on Parabola Three Perpendiculars of ... CONTACT OF CONICS 203 · 204 204 204 205 205 206 • 206 207 • 209 • 209 · 211 211 212 213 • • 214 Conics having double ...
... point Radii Vectores through Foci have equal difference of Reciprocals Examples on Parabola Three Perpendiculars of ... CONTACT OF CONICS 203 · 204 204 204 205 205 206 • 206 207 • 209 • 209 · 211 211 212 213 • • 214 Conics having double ...
Página x
... Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord . 230 231 · • • Property of Chords of Intersection of two Conics , each having double contact with a third Diagonals of ...
... Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord . 230 231 · • • Property of Chords of Intersection of two Conics , each having double contact with a third Diagonals of ...
Página xi
... Point be within or without a Conic 249 250 Discriminant of Tangential Equation 250 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 251 · • 251 touching four ...
... Point be within or without a Conic 249 250 Discriminant of Tangential Equation 250 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 251 · • 251 touching four ...
Página xii
... Point infinitely distant 283 Centre the Pole of the Line at infinity 284 ... contact with a given Conic ( see also p . 345 ) 289 289 Anharmonic proof of ... Point whence Tangents to two Conics form a Harmonic Pencil ( see Condition that ...
... Point infinitely distant 283 Centre the Pole of the Line at infinity 284 ... contact with a given Conic ( see also p . 345 ) 289 289 Anharmonic proof of ... Point whence Tangents to two Conics form a Harmonic Pencil ( see Condition that ...
Página xiv
... Points common to two Conics 331 Equation of four common Tangents 332 Their eight Points of Contact lie on a Conic 332 Covariants and Contravariants defined 333 Discriminant of Covariant F , when vanishes 335 How to find equations of ...
... Points common to two Conics 331 Equation of four common Tangents 332 Their eight Points of Contact lie on a Conic 332 Covariants and Contravariants defined 333 Discriminant of Covariant F , when vanishes 335 How to find equations of ...
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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