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 vi
... 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 · Properties of Circles cutting two Circles at right Angles , or at ...
... 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 · Properties of Circles cutting two Circles at right Angles , or at ...
Página vii
... Tangents and Polars 165 , 166 Expression for Angle between two Tangents to a Conic ( see also p . 189 ) 166 Locus of intersection of Tangents at fixed Angle 166 • CONJUGATE DIAMETERS : their Properties ( see also p . 159 ) 167 ...
... Tangents and Polars 165 , 166 Expression for Angle between two Tangents to a Conic ( see also p . 189 ) 166 Locus of intersection of Tangents at fixed Angle 166 • CONJUGATE DIAMETERS : their Properties ( see also p . 159 ) 167 ...
Página viii
... Tangent is constant 180 · Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents at any Point equally inclined to Tangent to Confocal Conic through the Point 182 Locus of foot of Focal Perpendicular on ...
... Tangent is constant 180 · Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents at any Point equally inclined to Tangent to Confocal Conic through the Point 182 Locus of foot of Focal Perpendicular on ...
Página ix
... Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 211 · 212 212 212 Area of Triangle formed by three Tangents 212 Radius of Circle circumscribing an inscribed or circumscribing Triangle Locus of intersection of ...
... Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 211 · 212 212 212 Area of Triangle formed by three Tangents 212 Radius of Circle circumscribing an inscribed or circumscribing Triangle Locus of intersection of ...
Página x
... Tangents ( see also pp . 320 , 353 ) Method of finding Coordinates of Foci of given Conic ( see also p . 353 ) 233 234 234 • 235 236 237 238 238 239 239 Relation between Perpendiculars from any Point of Conic on sides of inscribed ...
... Tangents ( see also pp . 320 , 353 ) Method of finding Coordinates of Foci of given Conic ( see also p . 353 ) 233 234 234 • 235 236 237 238 238 239 239 Relation between Perpendiculars from any Point of Conic on sides of inscribed ...
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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 by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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