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 iv
... of Bisectors of Sides , and of Perpendiculars at Equation of Line at infinity · Cartesian Equations a case of Trilinear Tangential Co - ordinates Reciprocal Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... of Bisectors of Sides , and of Perpendiculars at Equation of Line at infinity · Cartesian Equations a case of Trilinear Tangential Co - ordinates Reciprocal Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
Página vii
... Reciprocals of Semi - diameters at right Angles is constant Sum of Squares of conjugate Semi - diameters is constant 154 154 • Polar Equation of Ellipse , centre being Pole 155 Figure of Ellipse investigated 156 Geometrical construction ...
... Reciprocals of Semi - diameters at right Angles is constant Sum of Squares of conjugate Semi - diameters is constant 154 154 • Polar Equation of Ellipse , centre being Pole 155 Figure of Ellipse investigated 156 Geometrical construction ...
Página ix
... Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents 201 Radius of Circle ...
... Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents 201 Radius of Circle ...
Página xi
... ) 263 CHAPTER XV . RECIPROCAL POLARS . Principle of Duality Locus of Centre of Conic touching four Lines Locus of Focus of Conic touching four Lines 264 265 265 PAGE Director Circles of Conics touching four Lines have a CONTENTS . xi.
... ) 263 CHAPTER XV . RECIPROCAL POLARS . Principle of Duality Locus of Centre of Conic touching four Lines Locus of Focus of Conic touching four Lines 264 265 265 PAGE Director Circles of Conics touching four Lines have a CONTENTS . xi.
Página xii
... Reciprocal in general Pascal's Theorem and Brianchon's mutually reciprocal 265 267 • 268 • · Polar of one Circle with regard to another Radical Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 ...
... Reciprocal in general Pascal's Theorem and Brianchon's mutually reciprocal 265 267 • 268 • · Polar of one Circle with regard to another Radical Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 ...
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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