A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 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 pp . 149 , 153 , 155 , 266 • Condition that Equation of second Degree should represent Right Lines ( see also ...
... Imaginary Right Lines Angle between two Lines given by a single Equation Equation of Bisectors of Angles between these Lines pp . 149 , 153 , 155 , 266 • Condition that Equation of second Degree should represent Right Lines ( see also ...
Página x
... imaginary common Points at infinity ( see also p . 325 ) . Form of Equation referred to a self - conjugate Triangle ( see also p . 253 ) Conics having same Focus have two imaginary common Tangents ( see also pp . 320 , 353 ) Method of ...
... imaginary common Points at infinity ( see also p . 325 ) . Form of Equation referred to a self - conjugate Triangle ( see also p . 253 ) Conics having same Focus have two imaginary common Tangents ( see also pp . 320 , 353 ) Method of ...
Página xi
... imaginary ENVELOPES , how found Focal properties of Conics ( see also pp . 267 , 277 , 281 , 321 , 339 ) Locus of Intersections of Tangents to a Parabola which cut at a given Angle ( see Self - conjugate Triangle common to two Conics ...
... imaginary ENVELOPES , how found Focal properties of Conics ( see also pp . 267 , 277 , 281 , 321 , 339 ) Locus of Intersections of Tangents to a Parabola which cut at a given Angle ( see Self - conjugate Triangle common to two Conics ...
Página xiv
... imaginary Points or not 337 Equation of Curve parallel to a Conic 337 Equation of Evolute of a Conic 338 Meaning of the Invariants when one Coric is a pair of Lines 338 Criterion whether six lines touch the same conic 339 Equation of ...
... imaginary Points or not 337 Equation of Curve parallel to a Conic 337 Equation of Evolute of a Conic 338 Meaning of the Invariants when one Coric is a pair of Lines 338 Criterion whether six lines touch the same conic 339 Equation of ...
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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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article 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 reciprocal rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
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