A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
Dentro del libro
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Página vi
... GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree · 136 137 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
... GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree · 136 137 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
Página vii
... parallel Chords in constant ratio to each other Case where one of the Lines meets the Curve at infinity PAGE • 188 139 • 140 143 144 • 145 · 146 146 147 147 • 148 148 149 150 151 152 · Condition that a given Line should touch a Conic ...
... parallel Chords in constant ratio to each other Case where one of the Lines meets the Curve at infinity PAGE • 188 139 • 140 143 144 • 145 · 146 146 147 147 • 148 148 149 150 151 152 · Condition that a given Line should touch a Conic ...
Página xii
... Parallel to 296 Asymptote • 297 Parallels to Asymptotes through any Point on Curve , how cut any Diameter 298 Anharmonic Property of Tangents to Parabola 299 How any Tangent cuts two Parallel Tangents . 299 Proof , by Anharmonic ...
... Parallel to 296 Asymptote • 297 Parallels to Asymptotes through any Point on Curve , how cut any Diameter 298 Anharmonic Property of Tangents to Parabola 299 How any Tangent cuts two Parallel Tangents . 299 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 x = a , y ...
... 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 x = a , y ...
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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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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