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
... regard to a Circle or Conic Length of Tangent to a Circle 82 , 83 84 Line cut harmonically by a Circle , 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 ...
... regard to a Circle or Conic Length of Tangent to a Circle 82 , 83 84 Line cut harmonically by a Circle , 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 ...
Página x
... regard to a Conic passing through four fixed points ( see also pp . 148 , 256 , 260 , 290 ) 243 • or touching four right Lines ( see also pp . 256 , 265 , 269 , 309 , 327 ) 243 Focal properties of Conics 244 Locus of Intersections of ...
... regard to a Conic passing through four fixed points ( see also pp . 148 , 256 , 260 , 290 ) 243 • or touching four right Lines ( see also pp . 256 , 265 , 269 , 309 , 327 ) 243 Focal properties of Conics 244 Locus of Intersections of ...
Página xi
... regard to a Conic given by the general Equation 254 DISCRIMINANTS , defined ; discriminant of a Conic found ( see also pp . 72 , 144 , 148 , 150 ) • Co - ordinates of Pole of a given Line 255 255 Condition that two Lines should be ...
... regard to a Conic given by the general Equation 254 DISCRIMINANTS , defined ; discriminant of a Conic found ( see also pp . 72 , 144 , 148 , 150 ) • Co - ordinates of Pole of a given Line 255 255 Condition that two Lines should be ...
Página xii
... regard to another Radical Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 Reciprocation of Theorems concerning Angles at Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and ...
... regard to another Radical Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 Reciprocation of Theorems concerning Angles at Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and ...
Página xiii
... regard to a System of Confocal Conics The six Vertices of two self - conjugate Triangles lie on same Conic ( see also p . 329 ) Chord of a Conic passes through a fixed . Point , if the Angle it subtends at a fixed Point in Curve , has ...
... regard to a System of Confocal Conics The six Vertices of two self - conjugate Triangles lie on same Conic ( see also p . 329 ) Chord of a Conic passes through a fixed . Point , if the Angle it subtends at a fixed Point in Curve , has ...
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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