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 |
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Página vii
... Diameters Diameters of Parabola meet Curve at infinity Conjugate Diameters Equation of a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ...
... Diameters Diameters of Parabola meet Curve at infinity Conjugate Diameters Equation of a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ...
Página ix
... Diameters Radius of Circle circumscribing an inscribed Triangle ( see also p . 333 ) . Area of Triangle formed by three Tangents or three Normals 213 214 · 214 215 215 215 216 216 217 9 217 217 219 220 220 • SIMILAR CONIC SECTIONS 222 ...
... Diameters Radius of Circle circumscribing an inscribed Triangle ( see also p . 333 ) . Area of Triangle formed by three Tangents or three Normals 213 214 · 214 215 215 215 216 216 217 9 217 217 219 220 220 • SIMILAR CONIC SECTIONS 222 ...
Página x
... Diameter of Circle 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 ...
... Diameter of Circle 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 ...
Página xii
... Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to Asymptote 296 • 297 • • Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic Property of Tangents ...
... Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to Asymptote 296 • 297 • • Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic Property of Tangents ...
Página 75
... diameter , and the axis of y a per- pendicular at its extremity , then a = r , B = 0 , and the equation becomes x2 + y2 = 2rx . 80. It will be observed that the equation of the circle , to rectangular axes , does not contain the term xy ...
... diameter , and the axis of y a per- pendicular at its extremity , then a = r , B = 0 , and the equation becomes x2 + y2 = 2rx . 80. It will be observed that the equation of the circle , to rectangular axes , does not contain the term xy ...
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Outras edições - Ver tudo
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Visualização integral - 1879 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2016 |
Palavras e frases frequentes
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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