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 viii
... Directrix 179 Rectangle under Focal Perpendiculars 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 ...
... Directrix 179 Rectangle under Focal Perpendiculars 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 ...
Página ix
... 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 which cut at a ...
... 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 which cut at a ...
Página x
... Directrix 240 241 Result of substituting the Coordinates of any Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics ...
... Directrix 240 241 Result of substituting the Coordinates of any Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics ...
Página xi
... Directrix of Parabola passes through intersection of Perpendiculars of circum- 275 scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four Tangents ( see also p . 277 ) 275 27.5 CHAPTER XV . RECIPROCAL POLARS ...
... Directrix of Parabola passes through intersection of Perpendiculars of circum- 275 scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four Tangents ( see also p . 277 ) 275 27.5 CHAPTER XV . RECIPROCAL POLARS ...
Página xii
... Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 Tangential Equation of Reciprocal Conic 287 · Trilinear Equation given ...
... Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 Tangential Equation of Reciprocal Conic 287 · Trilinear Equation given ...
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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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