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 iii
... Ratio Transformation of Co - ordinates does not change Degree of an Equation Polar Co - ordinates PAGE 2 8 5 10 CHAPTER II . THE RIGHT LINE . Two Equations represent Points . A single Equation represents a Locus [ Geometric ...
... Ratio Transformation of Co - ordinates does not change Degree of an Equation Polar Co - ordinates PAGE 2 8 5 10 CHAPTER II . THE RIGHT LINE . Two Equations represent Points . A single Equation represents a Locus [ Geometric ...
Página iv
... Ratios in which Sides of a Triangle are cut by any Transversal 35 by Lines through the Vertices which meet in a ... Ratio of a Pencil Homographic Systems of Lines Expression of Equation of any Right Line in terms of three given ones ...
... Ratios in which Sides of a Triangle are cut by any Transversal 35 by Lines through the Vertices which meet in a ... Ratio of a Pencil Homographic Systems of Lines Expression of Equation of any Right Line in terms of three given ones ...
Página vi
... Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common radical Axis 100 The limiting Points of the system 101 Properties of Circles cutting two Circles at right Angles , or at constant Angles 102 ...
... Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common radical Axis 100 The limiting Points of the system 101 Properties of Circles cutting two Circles at right Angles , or at constant Angles 102 ...
Página vii
... ratio to each other Case where one of the lines meets the Curve at infinity Condition that a given Line should touch a Conic ( see also pp . 255 , 328 ) Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) ...
... ratio to each other Case where one of the lines meets the Curve at infinity Condition that a given Line should touch a Conic ( see also pp . 255 , 328 ) Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) ...
Página x
... ratio of four Points on a Conic { abcd } = { a'b'c'd ' } , if the Lines aa ' , & c . meet in a Point ; or if they touch a Conic having double contact with the given one 239 • 240 · 241 Envelope of Chord joining corresponding Points of ...
... ratio of four Points on a Conic { abcd } = { a'b'c'd ' } , if the Lines aa ' , & c . meet in a Point ; or if they touch a Conic having double contact with the given one 239 • 240 · 241 Envelope of Chord joining corresponding Points of ...
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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