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 iv
... Relation Loci solved by Polar Co - ordinates · · CHAPTER IV . THE RIGHT LINE - ABRIDGED NOTATION . = kB Meaning of Constant k in Equation a = Bisectors of Angles , Bisectors of Sides , & c . of a Triangle meet in a point Equations of a ...
... Relation Loci solved by Polar Co - ordinates · · CHAPTER IV . THE RIGHT LINE - ABRIDGED NOTATION . = kB Meaning of Constant k in Equation a = Bisectors of Angles , Bisectors of Sides , & c . of a Triangle meet in a point Equations of a ...
Página vi
... Relation connecting common Tangents of four Circles touched by same fifth Method of Inversion of Curves Quantities unchanged by Inversion Equation of Circle cutting three at right Angles ( see pp . 128 , 347 ) 113 114 114 · 115 CHAPTER ...
... Relation connecting common Tangents of four Circles touched by same fifth Method of Inversion of Curves Quantities unchanged by Inversion Equation of Circle cutting three at right Angles ( see pp . 128 , 347 ) 113 114 114 · 115 CHAPTER ...
Página vii
... Relation between intercepts made by variable tangent on two parallel tangents ( see also pp . 275 , 287 ) 167 · . Or on two conjugate diameters 167 Given two conjugate diameters to find the axes 168 PAGE NORMAL : its Properties To draw ...
... Relation between intercepts made by variable tangent on two parallel tangents ( see also pp . 275 , 287 ) 167 · . Or on two conjugate diameters 167 Given two conjugate diameters to find the axes 168 PAGE NORMAL : its Properties To draw ...
Página ix
... Relation between three Points whose osculating Circles meet Conic again in the same Point 217 • 218 218 9 Co - ordinates of centre of Curvature Evolutes of Conics ( see also pp . 325 , 326 ) . CHAPTER XIV . ABRIDGED NOTATION . Meaning ...
... Relation between three Points whose osculating Circles meet Conic again in the same Point 217 • 218 218 9 Co - ordinates of centre of Curvature Evolutes of Conics ( see also pp . 325 , 326 ) . CHAPTER XIV . ABRIDGED NOTATION . Meaning ...
Página x
... Relation between Perpendiculars from any point of Conie on sides of inscribed quadrilateral 225 · 226 227 227 228 228 228 • Anharmonic Property of Conics proved ( see also pp . 240 , 276 , 306 ) Extension of Property of Focus and ...
... Relation between Perpendiculars from any point of Conie on sides of inscribed quadrilateral 225 · 226 227 227 228 228 228 • Anharmonic Property of Conics proved ( see also pp . 240 , 276 , 306 ) Extension of Property of Focus and ...
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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