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 iii
... Intercepts on the Axes 18 in terms of the Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes 20 Angle between two Lines Equation of Line joining two given Points ...
... Intercepts on the Axes 18 in terms of the Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes 20 Angle between two Lines Equation of Line joining two given Points ...
Página v
... intercept by Circle on a given Line may subtend a right Angle at a given Point If a Point A lie on the polar of B , B lies on the polar of RE 90 91 Conjugate and self - conjugate Triangles 91 Conjugate Triangles Homologous 92 If two ...
... intercept by Circle on a given Line may subtend a right Angle at a given Point If a Point A lie on the polar of B , B lies on the polar of RE 90 91 Conjugate and self - conjugate Triangles 91 Conjugate Triangles Homologous 92 If two ...
Página vii
... intercepts made by variable tangent on two parallel tangents ( see also pp . 275 , 287 ) 167 · . Or on two conjugate diameters 167 Given two conjugate diameters to find the axes 168 PAGE NORMAL : its Properties To draw a Normal through ...
... intercepts made by variable tangent on two parallel tangents ( see also pp . 275 , 287 ) 167 · . Or on two conjugate diameters 167 Given two conjugate diameters to find the axes 168 PAGE NORMAL : its Properties To draw a Normal through ...
Página viii
... Intercepts on Chord between Curve and Asymptotes are equal 181 Lines joining two fixed to variable Point make constant Intercept on Asymptote Constant area cut off by tangent 182 182 Mechanical method of constructing Ellipse and ...
... Intercepts on Chord between Curve and Asymptotes are equal 181 Lines joining two fixed to variable Point make constant Intercept on Asymptote Constant area cut off by tangent 182 182 Mechanical method of constructing Ellipse and ...
Página ix
... Intercept on a given Locus of centre , given four Tangents ( see also pp . 243 , 256 , 327 ) ditto , given three tangents and sum of squares of axes Locus of Foci given four Points ECCENTRIC ANGLE Construction for Conjugate Diameters ...
... Intercept on a given Locus of centre , given four Tangents ( see also pp . 243 , 256 , 327 ) ditto , given three tangents and sum of squares of axes Locus of Foci given four Points ECCENTRIC ANGLE Construction for Conjugate Diameters ...
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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