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
... Imaginary Right Lines Angle between two Lines given by a single Equation Equation of Bisectors of Angles between these Lines PAGE 67 68 69 70 71 • 222 72 74 74 Condition that Equation of second Degree should represent Right Lines ( see ...
... Imaginary Right Lines Angle between two Lines given by a single Equation Equation of Bisectors of Angles between these Lines PAGE 67 68 69 70 71 • 222 72 74 74 Condition that Equation of second Degree should represent Right Lines ( see ...
Página x
... imaginary common Points at infinity ( see also p . 313 ) Form of Equation referred to a self - conjugate Triangle ( see also p . 242 ) Conics having same Focus have two imaginary common tangents ( see also pp . 308 , 340 ) Method of ...
... imaginary common Points at infinity ( see also p . 313 ) Form of Equation referred to a self - conjugate Triangle ( see also p . 242 ) Conics having same Focus have two imaginary common tangents ( see also pp . 308 , 340 ) Method of ...
Página xiii
... imaginary Points or not 325 Equation of Curve parallel to a Conic Equation of Evolute of a Conic • · " Meaning of the Invariants when one Conic is a pair of Lines Criterion whether six lines touch the same conic 325 326 326 • 327 PAGE ...
... imaginary Points or not 325 Equation of Curve parallel to a Conic Equation of Evolute of a Conic • · " Meaning of the Invariants when one Conic is a pair of Lines Criterion whether six lines touch the same conic 325 326 326 • 327 PAGE ...
Página xiv
... imaginary Circular Point , perpendicular to itself General Equation of Director Circle 337 338 338 339 Equation of Directrix of Parabola given by Trilinear Equation 339 Co - ordinates of Foci of Curve given by general Equation 340 ...
... imaginary Circular Point , perpendicular to itself General Equation of Director Circle 337 338 338 339 Equation of Directrix of Parabola given by Trilinear Equation 339 Co - ordinates of Foci of Curve given by general Equation 340 ...
Página 13
... the value of y becomes imaginary . * The learner is recommended to use paper ruled into little squares , which is sold under the name of logarithm paper . 17. The whole science of Analytic Geometry is founded on THE RIGHT LINE . 13.
... the value of y becomes imaginary . * The learner is recommended to use paper ruled into little squares , which is sold under the name of logarithm paper . 17. The whole science of Analytic Geometry is founded on THE RIGHT LINE . 13.
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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