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
... parallel chords in constant ratio to each other Case where one of the lines meets the Curve at infinity Condition that a given Line should touch a Conic ( see also pp . 255 , 328 ) Locus of centre of Conic through four Points ( see also ...
... parallel chords in constant ratio to each other Case where one of the lines meets the Curve at infinity Condition that a given Line should touch a Conic ( see also pp . 255 , 328 ) Locus of centre of Conic through four Points ( see also ...
Página xii
... Parallel to Asymptote 284 285 • · Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic property of Tangents to Parabola 286 287 How any Tangent cuts two Parallel Tangents 287 Proof , by Anharmonic ...
... Parallel to Asymptote 284 285 • · Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic property of Tangents to Parabola 286 287 How any Tangent cuts two Parallel Tangents 287 Proof , by Anharmonic ...
Página 1
... parallels PM , PN which will intersect in the point required . It is usual to denote PM parallel to OY by the letter y , and PN parallel to OX by the letter x , and the point P is said to be determined by the two equations xa , y = b ...
... parallels PM , PN which will intersect in the point required . It is usual to denote PM parallel to OY by the letter y , and PN parallel to OX by the letter x , and the point P is said to be determined by the two equations xa , y = b ...
Página 4
... their algebraical sum . Except in the case of lines parallel to one of the axes , no convention has been established as to which shall be considered the positive direction . 7. To find the co - ordinates of the point 4 THE POINT .
... their algebraical sum . Except in the case of lines parallel to one of the axes , no convention has been established as to which shall be considered the positive direction . 7. To find the co - ordinates of the point 4 THE POINT .
Página 6
... parallel to the old ; secondly , we shall suppose the directions of the axes changed , but the origin to remain unaltered ; and thirdly , we shall suppose both origin and directions of axes to be altered . First . Let the new axes be ...
... parallel to the old ; secondly , we shall suppose the directions of the axes changed , but the origin to remain unaltered ; and thirdly , we shall suppose both origin and directions of axes to be altered . First . Let the new axes be ...
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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