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 iii
... POINT . Des Cartes ' Method of Coordinates Distinction of Signs : Distance between two Points Its sign • • Coordinates of Point cutting that Distance in a given ... a given Line 168970 Length of Perpendicular from a Point on a Line Equations.
... POINT . Des Cartes ' Method of Coordinates Distinction of Signs : Distance between two Points Its sign • • Coordinates of Point cutting that Distance in a given ... a given Line 168970 Length of Perpendicular from a Point on a Line Equations.
Página iv
... a Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Coordinates of its Vertices . Area of any Polygon Condition that three Lines may meet in a Point ( see also p . 34 ) Area of ...
... a Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Coordinates of its Vertices . Area of any Polygon Condition that three Lines may meet in a Point ( see also p . 34 ) Area of ...
Página v
... given by a single Equation Equation of Bisectors of Angles between these ... given Line meets a given Circle Imaginary Points · General definition of Tangents ... Point with regard to a Circle or Conic Length of Tangent to a Circle • Line ...
... given by a single Equation Equation of Bisectors of Angles between these ... given Line meets a given Circle Imaginary Points · General definition of Tangents ... Point with regard to a Circle or Conic Length of Tangent to a Circle • Line ...
Página vii
... a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see ...
... a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see ...
Página viii
... a Normal through a given Point ( see also p . 335 ) Chord subtending a right Angle at any Point on Conic passes through a fixed 174 Point on Normal ( see also pp . 270 , 285 ) 175 Coordinates of intersection of two Normals 175 ...
... a Normal through a given Point ( see also p . 335 ) Chord subtending a right Angle at any Point on Conic passes through a fixed 174 Point on Normal ( see also pp . 270 , 285 ) 175 Coordinates of intersection of two Normals 175 ...
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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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