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
... Asymptotes of Curve 150 · · Equation of the Axes , how found 151 Functions of the Coefficients which are unaltered by transformation 152 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant Sum of Squares of ...
... Asymptotes of Curve 150 · · Equation of the Axes , how found 151 Functions of the Coefficients which are unaltered by transformation 152 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant Sum of Squares of ...
Página viii
... ASYMPTOTES : how found 180 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 ...
... ASYMPTOTES : how found 180 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 ...
Página xi
... Asymptotes of a Conic given by general Equation ( see also p . 328 ) Given three Points on Conic , and Point on one Asymptote , Envelope of other Locus of Vertex of a Triangle whose sides pass through fixed Points , and base Angles move ...
... Asymptotes of a Conic given by general Equation ( see also p . 328 ) Given three Points on Conic , and Point on one Asymptote , Envelope of other Locus of Vertex of a Triangle whose sides pass through fixed Points , and base Angles move ...
Página xii
... Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to Asymptote 284 285 • · Parallels to Asymptotes through any Point on Curve , how cut any ...
... Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to Asymptote 284 285 • · Parallels to Asymptotes through any Point on Curve , how cut any ...
Página xiv
... Asymptotes of Conic given by Trilinear Equation 328 Condition that a Triangle self - conjugate with regard to one Conic , should be inscribed or circumscribed about another 328 Six vertices of two self - conjugate Triangles lie on a ...
... Asymptotes of Conic given by Trilinear Equation 328 Condition that a Triangle self - conjugate with regard to one Conic , should be inscribed or circumscribed about another 328 Six vertices of two self - conjugate Triangles lie on a ...
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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