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 iii
... Equation Polar Coordinates CHAPTER II . THE RIGHT LINE . Two Equations represent Points A single Equation represents a Locus Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any ...
... Equation Polar Coordinates CHAPTER II . THE RIGHT LINE . Two Equations represent Points A single Equation represents a Locus Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any ...
Página iv
... Equation of Line through the Intersection of two given Lines Test that three Equations may represent Right Lines meeting in a Point Connexion between Ratios in which Sides of a Triangle are cut by any Transversal by Lines through the ...
... Equation of Line through the Intersection of two given Lines Test that three Equations may represent Right Lines meeting in a Point Connexion between Ratios in which Sides of a Triangle are cut by any Transversal by Lines through the ...
Página v
... Equation resolvable into Factors of a Homogeneous Equation of the nth Degree Imaginary Right Lines Angle between two Lines given by a single Equation Equation of Bisectors of Angles between these Lines pp . 149 , 153 , 155 , 266 ...
... Equation resolvable into Factors of a Homogeneous Equation of the nth Degree Imaginary Right Lines Angle between two Lines given by a single Equation Equation of Bisectors of Angles between these Lines pp . 149 , 153 , 155 , 266 ...
Página vi
... Equation of radical Axis of two Circles • : Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles Properties of system of Circles having common radical Axis The limiting Points of the system ...
... Equation of radical Axis of two Circles • : Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles Properties of system of Circles having common radical Axis The limiting Points of the system ...
Página vii
... Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Coordinates of centre of Conic Equations of Diameters Diameters of Parabola meet Curve at infinity Conjugate Diameters Equation of a Tangent ...
... Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Coordinates of centre of Conic Equations of Diameters Diameters of Parabola meet Curve at infinity Conjugate Diameters Equation of a Tangent ...
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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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