A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
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Página vi
... Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common radical Axis 100 The limiting Points of the system 101 Properties of Circles cutting ...
... Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common radical Axis 100 The limiting Points of the system 101 Properties of Circles cutting ...
Página vii
... Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) CHAPTER XI . CENTRAL EQUATIONS . PAGE 133 134 135 138 139 140 141 141 142 · 142 143 . 143 144 • 145 146 • 147 148 Transformation of general Equation to ...
... Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) CHAPTER XI . CENTRAL EQUATIONS . PAGE 133 134 135 138 139 140 141 141 142 · 142 143 . 143 144 • 145 146 • 147 148 Transformation of general Equation to ...
Página viii
... Locus of foot of Perpendicular from Focus on Tangent 191 193 • Locus of intersection of Tangents which cut at right Angles ( see also 273 , 339 ) Angle between two Tangents half that between corresponding Focal Radii Circle ...
... Locus of foot of Perpendicular from Focus on Tangent 191 193 • Locus of intersection of Tangents which cut at right Angles ( see also 273 , 339 ) Angle between two Tangents half that between corresponding Focal Radii Circle ...
Página ix
... Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of ...
... Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of ...
Página x
... Locus of Vertex of Triangle whose sides touch a given Conic , and base Angles move on fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 261 , 269 , 289 ) ...
... Locus of Vertex of Triangle whose sides touch a given Conic , and base Angles move on fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 261 , 269 , 289 ) ...
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Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length 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 rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices