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 |
Dentro del libro
Resultados 1-5 de 84
Página vii
... Locus of centre of Conic through four Points ( see also pp . 254 , 267 , 271 ... Locus of intersection of Tangents at fixed Angle 164 165 , 166 166 · 166 ... find the Axes 171 172 · 172 173 , 176 NORMAL : its Properties PAGE 173 To ...
... Locus of centre of Conic through four Points ( see also pp . 254 , 267 , 271 ... Locus of intersection of Tangents at fixed Angle 164 165 , 166 166 · 166 ... find the Axes 171 172 · 172 173 , 176 NORMAL : its Properties PAGE 173 To ...
Página x
... find their Points of Contact 246 · 217 247 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 246 · 217 247 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 ) 349 • Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another . 349 · Locus of free Vertex of a Polygon all ...
... find equations of Sides of self - conjugate Triangle common to two Conics ( see also p . 347 ) 349 • Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another . 349 · Locus of free Vertex of a Polygon all ...
Página 12
... locus . х 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 ...
... locus . х 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 ...
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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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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