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 iv
... at middle Points of Sides , lie in a Right Line Equation of Line at infinity • Cartesian Equations a case of Trilinear Tangential Coordinates Reciprocal Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... at middle Points of Sides , lie in a Right Line Equation of Line at infinity • Cartesian Equations a case of Trilinear Tangential Coordinates Reciprocal Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
Página vii
... Reciprocals of Semi - diameters at right Angles is constant 159 • Sum of Squares of conjugate Semi - diameters is constant 159 Polar Equation of Ellipse , centre being Pole 160 • Figure of Ellipse investigated 161 Geometrical ...
... Reciprocals of Semi - diameters at right Angles is constant 159 • Sum of Squares of conjugate Semi - diameters is constant 159 Polar Equation of Ellipse , centre being Pole 160 • Figure of Ellipse investigated 161 Geometrical ...
Página ix
... Reciprocals . Examples on Parabola · Three Perpendiculars of Triangle formed by three Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 211 · 212 212 212 Area of Triangle formed by three Tangents 212 Radius of ...
... Reciprocals . Examples on Parabola · Three Perpendiculars of Triangle formed by three Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 211 · 212 212 212 Area of Triangle formed by three Tangents 212 Radius of ...
Página xi
... of Perpendiculars of circum- scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four Tangents ( see also p . 277 ) 275 • 275 CHAPTER XV . RECIPROCAL POLARS . PAGE Principle of Duality CONTENTS . xi.
... of Perpendiculars of circum- scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four Tangents ( see also p . 277 ) 275 • 275 CHAPTER XV . RECIPROCAL POLARS . PAGE Principle of Duality CONTENTS . xi.
Página xii
... Reciprocal in general 279 Pascal's Theorem and Brianchon's mutually reciprocal 280 · • Radical Axes and Centres of Similitude of Conics having double contact with a given one 282 • Polar of one Circle with regard to another 283 ...
... Reciprocal in general 279 Pascal's Theorem and Brianchon's mutually reciprocal 280 · • Radical Axes and Centres of Similitude of Conics having double contact with a given one 282 • Polar of one Circle with regard to another 283 ...
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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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