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 vii
... Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 ... Locus of intersection of tangents at fixed angle Equilateral Hyperbola : its ... find the axes 168 PAGE NORMAL : its Properties To draw a Normal through ...
... Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 ... Locus of intersection of tangents at fixed angle Equilateral Hyperbola : its ... find the axes 168 PAGE NORMAL : its Properties To draw a Normal through ...
Página x
... find their Points of Contact 235 235 236 Mac Laurin's Method of generating ... Locus of Vertex of Triangle whose sides touch a given Conic , and base ... Locus of Pole of a given Line with regard to a Conic passing through four fixed ...
... find their Points of Contact 235 235 236 Mac Laurin's Method of generating ... Locus of Vertex of Triangle whose sides touch a given Conic , and base ... Locus of Pole of a given Line with regard to a Conic passing through four fixed ...
Página xiv
... find equations of Sides of self - conjugate Triangle common to two Conics ( see also p . 347 ) 335 Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another 336 • Locus of free Vertex of a Polygon all whose ...
... find equations of Sides of self - conjugate Triangle common to two Conics ( see also p . 347 ) 335 Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another 336 • Locus of free Vertex of a Polygon all whose ...
Página 12
... locus . One equation evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the given equation . And yet ...
... locus . One equation evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the given equation . And yet ...
Página 13
... locus , every point of which satisfies the conditions of the equation , and which is , therefore , its geometrical signification . We can find in the manner just explained as many points of this locus as we please , until we have enough ...
... locus , every point of which satisfies the conditions of the equation , and which is , therefore , its geometrical signification . We can find in the manner just explained as many points of this locus as we please , until we have enough ...
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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