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 страници |
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Резултати 1 - 5 от 78.
Страница vii
... Conic Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Co - ordinates of centre of Conic Equations of Diameters Diameters of parabola meet curve at infinity Conjugate diameters Equation of ...
... Conic Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Co - ordinates of centre of Conic Equations of Diameters Diameters of parabola meet curve at infinity Conjugate diameters Equation of ...
Страница ix
... Conic , chords of intersection are equally inclined to the Axes ( see also p . 223 ) Condition that four Points of a Conic should lie on a Circle Relation between three Points whose osculating Circles meet Conic again in the same Point ...
... Conic , chords of intersection are equally inclined to the Axes ( see also p . 223 ) Condition that four Points of a Conic should lie on a Circle Relation between three Points whose osculating Circles meet Conic again in the same Point ...
Страница x
... 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 inscribed and circumscribed ...
... 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 inscribed and circumscribed ...
Страница xi
... Conic from Tangential , and vice versa Criterion whether a 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 ...
... Conic from Tangential , and vice versa Criterion whether a 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 ...
Страница xii
... Conic a Polygon whose sides pass through fixed Points To describe a Conic touching three Lines and having double contact with a given Conic ( see also p . 345 ) 289 289 Anharmonic proof of Pascal's Theorem 289 of Locus of Centre , when ...
... Conic a Polygon whose sides pass through fixed Points To describe a Conic touching three Lines and having double contact with a given Conic ( see also p . 345 ) 289 289 Anharmonic proof of Pascal's Theorem 289 of Locus of Centre , when ...
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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