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 v
... Point , and its Polar 85 · Equation of pair of Tangents fram a given Point to a Circle 85 0 Circle through three Points ( see also p . 128 ) 86 • Condition that four Points should lie on a Circle , and its Geometrical meaning Polar ...
... Point , and its Polar 85 · Equation of pair of Tangents fram a given Point to a Circle 85 0 Circle through three Points ( see also p . 128 ) 86 • Condition that four Points should lie on a Circle , and its Geometrical meaning Polar ...
Página vi
... Points whence Tangents to two Circles have a given Ratio Radical Centre of ... four Circles touched by same fifth Method of Inversion of Curves Quantities ... four Circles which touch the sides of a Triangle are touched by the same Circle ...
... Points whence Tangents to two Circles have a given Ratio Radical Centre of ... four Circles touched by same fifth Method of Inversion of Curves Quantities ... four Circles which touch the sides of a Triangle are touched by the same Circle ...
Página vii
... 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 the centre Condition that it ...
... 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 the centre Condition that it ...
Página ix
... four Tangents ( see also pp . 243 , 256 , 327 ) ditto , given three tangents and sum of squares of axes Locus of Foci given four Points ECCENTRIC ANGLE Construction for Conjugate Diameters Radius of Circle circumscribing an inscribed ...
... four Tangents ( see also pp . 243 , 256 , 327 ) ditto , given three tangents and sum of squares of axes Locus of Foci given four Points ECCENTRIC ANGLE Construction for Conjugate Diameters Radius of Circle circumscribing an inscribed ...
Página x
... Points at infinity · All Circles have imaginary common Points at infinity ( see also p . 313 ) Form of Equation ... four lines meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents to ...
... Points at infinity · All Circles have imaginary common Points at infinity ( see also p . 313 ) Form of Equation ... four lines meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents to ...
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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