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 |
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Página v
... Degree Imaginary Right Lines Angle between two Lines given by a single Equation Equation of Bisectors of Angles between these Lines pp . 149 , 153 , 155 , 266 • Condition that Equation of second Degree should represent Right Lines ( see ...
... Degree Imaginary Right Lines Angle between two Lines given by a single Equation Equation of Bisectors of Angles between these Lines pp . 149 , 153 , 155 , 266 • Condition that Equation of second Degree should represent Right Lines ( see ...
Página vi
... SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree 136 • 137 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
... SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree 136 • 137 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
Página 9
... another , x2 + y2 must = X2 + Y2 , since both express the square of the distance of Verify ... degree of any equation between the coordinates is not altered by ... second should increase it , contrary to what has just been proved . POLAR ...
... another , x2 + y2 must = X2 + Y2 , since both express the square of the distance of Verify ... degree of any equation between the coordinates is not altered by ... second should increase it , contrary to what has just been proved . POLAR ...
Página 11
... II . THE RIGHT LINE . 14. Any two equations between the coordinates represent geometrically one or more points . If the equations be both of the first degree ( see Ex . 5 , p . 4 ) they denote a single point . For solving the equations ...
... II . THE RIGHT LINE . 14. Any two equations between the coordinates represent geometrically one or more points . If the equations be both of the first degree ( see Ex . 5 , p . 4 ) they denote a single point . For solving the equations ...
Página 14
... second degree , because it contains the term xy . If this term were absent , it would be of the first degree . A curve is said to be of the nth degree when the equation which represents it is of that degree . We commence with the ...
... second degree , because it contains the term xy . If this term were absent , it would be of the first degree . A curve is said to be of the nth degree when the equation which represents it is of that degree . We commence with the ...
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Outras edições - Ver tudo
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Visualização integral - 1879 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2016 |
Palavras e frases frequentes
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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