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 viii
... equal 181 Lines joining two fixed to variable Point make constant Intercept on Asymptote Constant area cut off by tangent 182 182 Mechanical method of constructing Ellipse and Hyperbola 172 , 183 , 207 CHAPTER XII . THE PARABOLA ...
... equal 181 Lines joining two fixed to variable Point make constant Intercept on Asymptote Constant area cut off by tangent 182 182 Mechanical method of constructing Ellipse and Hyperbola 172 , 183 , 207 CHAPTER XII . THE PARABOLA ...
Página ix
... equal difference of Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents ...
... equal difference of Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents ...
Página xii
... equal Circles have same Parameter 273 274 Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 275 • Tangential Equation of Reciprocal Conic 374 Trilinear Equation given Focus and either three Points ...
... equal Circles have same Parameter 273 274 Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 275 • Tangential Equation of Reciprocal Conic 374 Trilinear Equation given Focus and either three Points ...
Página 1
... the co - ordinates of the point P. PM is often called the ordinate of the point P ; while PN , which is equal to OM the intercept cut off by the ordinate , is called the abscissa . B The fixed lines XX ' and YY ' are termed THE POINT.
... the co - ordinates of the point P. PM is often called the ordinate of the point P ; while PN , which is equal to OM the intercept cut off by the ordinate , is called the abscissa . B The fixed lines XX ' and YY ' are termed THE POINT.
Página 2
... equal in magnitude , but opposite in x- direction ) by giving them different signs . We lay down a rule , that if lines measured in one direction be considered as positive , lines measured in the oppo- site direction must be con- M Y Р ...
... equal in magnitude , but opposite in x- direction ) by giving them different signs . We lay down a rule , that if lines measured in one direction be considered as positive , lines measured in the oppo- site direction must be con- M Y Р ...
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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