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
... Conics cut at right Angles 175 • Tangents at any Point equally inclined to Tangent to Confocal conic through the Point 176 Locus of foot of Focal Perpendicular on Tangent 176 · Angle subtended at the Focus by a Chord , bisected by Line ...
... Conics cut at right Angles 175 • Tangents at any Point equally inclined to Tangent to Confocal conic through the Point 176 Locus of foot of Focal Perpendicular on Tangent 176 · Angle subtended at the Focus by a Chord , bisected by Line ...
Página ix
... CONIC SECTIONS • Condition that Conics should be similar , and similarly placed Properties of similar Conics ... Conic , chords of intersection are equally inclined to the Axes ( see also p . 223 ) Condition that four Points of a Conic ...
... CONIC SECTIONS • Condition that Conics should be similar , and similarly placed Properties of similar Conics ... Conic , chords of intersection are equally inclined to the Axes ( see also p . 223 ) Condition that four Points of a Conic ...
Página x
... Conics ( see also p . 287 ) 236 · Given five Points on a Conic to construct it , find its centre , and draw Tangent at any of the points 236 Equation referred to two Tangents and their Chord 237 Corresponding Chords of two Conics ...
... Conics ( see also p . 287 ) 236 · Given five Points on a Conic to construct it , find its centre , and draw Tangent at any of the points 236 Equation referred to two Tangents and their Chord 237 Corresponding Chords of two Conics ...
Página 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 ...
Página xii
... Conics , of Newton's mode of Generation 287 Chasles's extension of these Theorems 288 • To inscribe in a Conic a Polygon whose sides pass through fixed Points To describe a Conic touching three Lines and having double contact with a given ...
... Conics , of Newton's mode of Generation 287 Chasles's extension of these Theorems 288 • To inscribe in a Conic a Polygon whose sides pass through fixed Points To describe a Conic touching three Lines and having double contact with a given ...
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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