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
Resultados 1-5 de 87
Página iv
... Ratios in which Sides of a Triangle are cut by any Transversal by Lines through the Vertices which meet in a Point ... Ratio of a Pencil Theorem of Anharmonic Section proved Homographic Systems of Lines Expression of Equation of any ...
... Ratios in which Sides of a Triangle are cut by any Transversal by Lines through the Vertices which meet in a Point ... Ratio of a Pencil Theorem of Anharmonic Section proved Homographic Systems of Lines Expression of Equation of any ...
Página vi
... Ratio Radical Centre of three Circles Properties of system of Circles having common radical Axis The limiting Points of the system · Properties of Circles cutting two Circles at right Angles , or at constant Angles Equation of Circle ...
... Ratio Radical Centre of three Circles Properties of system of Circles having common radical Axis The limiting Points of the system · Properties of Circles cutting two Circles at right Angles , or at constant Angles Equation of Circle ...
Página vii
... 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 ( see also pp . 267 , 340 ) ...
... 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 ( see also pp . 267 , 340 ) ...
Página x
... ratio of four Points on a Conic { abcd } = { a'b'c'd ' } , if the Lines aa ' & c . meet in a Point ; or if they touch a Conic having double contact with the given one 252 • • Envelope of Chord joining corresponding Points of two ...
... ratio of four Points on a Conic { abcd } = { a'b'c'd ' } , if the Lines aa ' & c . meet in a Point ; or if they touch a Conic having double contact with the given one 252 • • Envelope of Chord joining corresponding Points of two ...
Página xi
... Ratio of four Points the same as that of their Polars Equation of Asymptotes of a Conic given by general Equation ( see also p . 340 ) . Given three Points on Conic , and Point on one Asymptote , Envelope of other Locus of Vertex of a ...
... Ratio of four Points the same as that of their Polars Equation of Asymptotes of a Conic given by general Equation ( see also p . 340 ) . Given three Points on Conic , and Point on one Asymptote , Envelope of other Locus of Vertex of a ...
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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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