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
Resultados 1-5 de 89
Página iii
... Distance between two Points Its sign • • Coordinates of Point cutting that Distance in a given Ratio . Transformation of Coordinates does not change Degree of an Equation Polar Coordinates CHAPTER II . THE RIGHT LINE . Two Equations ...
... Distance between two Points Its sign • • Coordinates of Point cutting that Distance in a given Ratio . Transformation of Coordinates does not change Degree of an Equation Polar Coordinates CHAPTER II . THE RIGHT LINE . Two Equations ...
Página v
... Distances of two Points from the centre , proportional to the distance of each from Polar of other 93 · Expression of Coordinates of Point on Circle by auxiliary Angle Problems where a variable Line always touches a Circle Examples on ...
... Distances of two Points from the centre , proportional to the distance of each from Polar of other 93 · Expression of Coordinates of Point on Circle by auxiliary Angle Problems where a variable Line always touches a Circle Examples on ...
Página vi
... Distance between two Points expressed in Trilinear Coordinates DETERMINANT NOTATION Determinant Expressions for Area ... distances of four Points in a Plane Proof of Prof. Casey's theorems . • CHAPTER X. • · 131 134 135 GENERAL EQUATION ...
... Distance between two Points expressed in Trilinear Coordinates DETERMINANT NOTATION Determinant Expressions for Area ... distances of four Points in a Plane Proof of Prof. Casey's theorems . • CHAPTER X. • · 131 134 135 GENERAL EQUATION ...
Página viii
... distance between their Poles 201 • Subnormal Constant 202 : Locus of foot of Perpendicular from Focus on Tangent 204 Locus of intersection of Tangents which cut at right Angles ( see also pp . 285 , 352 ) 205 Angle between two Tangents ...
... distance between their Poles 201 • Subnormal Constant 202 : Locus of foot of Perpendicular from Focus on Tangent 204 Locus of intersection of Tangents which cut at right Angles ( see also pp . 285 , 352 ) 205 Angle between two Tangents ...
Página xiii
... Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity 330 Determination of Focus of Section of a right Cone 331 • Locus of Vertices of right Cones from which a given Conic ...
... Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity 330 Determination of Focus of Section of a right Cone 331 • Locus of Vertices of right Cones from which a given Conic ...
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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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