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
... pair of Lines equally inclined to a , ß Theorem of Anharmonic Section proved Algebraic Expression for Anharmonic Ratio of a Pencil Homographic Systems of Lines Expression of Equation of any Right Line in terms of three given ones ...
... pair of Lines equally inclined to a , ß Theorem of Anharmonic Section proved Algebraic Expression for Anharmonic Ratio of a Pencil Homographic Systems of Lines Expression of Equation of any Right Line in terms of three given ones ...
Página v
... 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 Equation of a Circle 86 87 CHAPTER VII ...
... 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 Equation of a Circle 86 87 CHAPTER VII ...
Página vii
... pair of Tangents from given Point to a Conic ( see also p . 257 ) Rectangles under segments of parallel chords in constant ratio to each other Case where one of the lines meets the Curve at infinity Condition that a given Line should ...
... pair of Tangents from given Point to a Conic ( see also p . 257 ) Rectangles under segments of parallel chords in constant ratio to each other Case where one of the lines meets the Curve at infinity Condition that a given Line should ...
Página xi
... pair of Tangents through a given Point ( see also p . 144 ) 257 Property of Angles of a circumscribing Hexagon ( see also p . 277 ) 258 Test whether three pairs of Lines touch the same Conic 258 · Equations of Lines joining to a given ...
... pair of Tangents through a given Point ( see also p . 144 ) 257 Property of Angles of a circumscribing Hexagon ( see also p . 277 ) 258 Test whether three pairs of Lines touch the same Conic 258 · Equations of Lines joining to a given ...
Página xii
... Pairs of corresponding Points are given • Analytic condition that four Points should form a Harmonic System Locus of Point whence Tangents to two Conics form a Harmonic Pencil ( see Condition that Line should be cut Harmonically by two ...
... Pairs of corresponding Points are given • Analytic condition that four Points should form a Harmonic System Locus of Point whence Tangents to two Conics form a Harmonic Pencil ( see Condition that Line should be cut Harmonically by two ...
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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