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
... 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 two Circles at right ...
... 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 two Circles at right ...
Página vii
... Tangents and Polars 160 , 161 Expression for Angle between two Tangents to a Conic 161 Locus of intersection of tangents at fixed angle Equilateral Hyperbola : its Properties 161 CONJUGATE DIAMETERS : their Properties ( see also p . 154 ) ...
... Tangents and Polars 160 , 161 Expression for Angle between two Tangents to a Conic 161 Locus of intersection of tangents at fixed angle Equilateral Hyperbola : its Properties 161 CONJUGATE DIAMETERS : their Properties ( see also p . 154 ) ...
Página viii
... Tangent is constant 174 Focal Radii equally inclined to Tangent 174 Confocal Conics cut at right Angles 175 • Tangents at any Point equally inclined to Tangent to Confocal conic through the Point 176 Locus of foot of Focal Perpendicular on ...
... Tangent is constant 174 Focal Radii equally inclined to Tangent 174 Confocal Conics cut at right Angles 175 • Tangents at any Point equally inclined to Tangent to Confocal conic through the Point 176 Locus of foot of Focal Perpendicular on ...
Página ix
... tangents to ellipse from any point Radii Vectores through Foci have equal difference of Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 ...
... tangents to ellipse from any point Radii Vectores through Foci have equal difference of Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 ...
Página x
... tangents ( see also pp . 308 , 340 ) Method of finding Co - ordinates of Foci of given Conie ( see also p . 340 ) Relation between Perpendiculars from any point of Conie on sides of inscribed quadrilateral 225 · 226 227 227 228 228 228 ...
... tangents ( see also pp . 308 , 340 ) Method of finding Co - ordinates of Foci of given Conie ( see also p . 340 ) Relation between Perpendiculars from any point of Conie on sides of inscribed quadrilateral 225 · 226 227 227 228 228 228 ...
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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