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
... circumscribing a Quadrilateral Equation of Circle circumscribing Triangle a , ß , y Geometrical meaning of the Equation Locus of Point such that Area of Triangle formed by feet of Perpendiculars from it on sides of Triangle may be given ...
... circumscribing a Quadrilateral Equation of Circle circumscribing Triangle a , ß , y Geometrical meaning of the Equation Locus of Point such that Area of Triangle formed by feet of Perpendiculars from it on sides of Triangle may be given ...
Página viii
... circumscribing Triangle formed by three Tangents passes through Focus ( see also pp . 214 , 274 , 285 , 320 ) 205 207 Polar Equation of Parabola 207 CHAPTER XIII . EXAMPLES ON CONICS . Loci 208 Focal Properties 209 • Locus of Pole with ...
... circumscribing Triangle formed by three Tangents passes through Focus ( see also pp . 214 , 274 , 285 , 320 ) 205 207 Polar Equation of Parabola 207 CHAPTER XIII . EXAMPLES ON CONICS . Loci 208 Focal Properties 209 • Locus of Pole with ...
Página ix
... circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also 213 pp . 256 , 285 ) 213 Locus of foot of Perpendicular from Focus on Normal Coordinates of intersection of ...
... circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also 213 pp . 256 , 285 ) 213 Locus of foot of Perpendicular from Focus on Normal Coordinates of intersection of ...
Página x
... circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having double contact with a third 242 Diagonals of inscribed and circumscribed Quadrilateral pass through ...
... circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having double contact with a third 242 Diagonals of inscribed and circumscribed Quadrilateral pass through ...
Página xi
... circumscribing Hexagon ( see also p . 289 ) 270 • Test whether three pairs of Lines touch the same Conic . 270 Equations of Lines joining to a given Point intersections of two Curves Chord which subtends a right Angle at a fixed Point ...
... circumscribing Hexagon ( see also p . 289 ) 270 • Test whether three pairs of Lines touch the same Conic . 270 Equations of Lines joining to a given Point intersections of two Curves Chord which subtends a right Angle at a fixed Point ...
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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 bisectors by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article 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 reciprocal rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
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