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 iii
... RIGHT LINE . Two Equations represent Points A single Equation represents a Locus Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any Position • Meaning of the Constants in ...
... RIGHT LINE . Two Equations represent Points A single Equation represents a Locus Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any Position • Meaning of the Constants in ...
Página iv
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Coordinates of its Vertices . Area of any Polygon Condition that three Lines ... RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Coordinates of its Vertices . Area of any Polygon Condition that three Lines ... RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
Página xiii
... right Line 316 Projective Properties of a Quadrilateral Any two Conics may be projected into Circles Projective proof of Carnot's Theorem ( see also p . 289 ) 317 318 • 319 of Pascal's Theorem Projection of Properties concerning Foci ...
... right Line 316 Projective Properties of a Quadrilateral Any two Conics may be projected into Circles Projective proof of Carnot's Theorem ( see also p . 289 ) 317 318 • 319 of Pascal's Theorem Projection of Properties concerning Foci ...
Página 11
... 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 ... RIGHT LINE CHAPTER IV THE RIGHT LINE -ABRIDGED NOTATION,
... 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 ... RIGHT LINE CHAPTER IV THE RIGHT LINE -ABRIDGED NOTATION,
Página 13
... line MK , the x of that point will always = a . 16. In general , if we are given an equation of any degree between the coordinates , let us assume for x any value we please ( a ) , and the equation will enable us to ... RIGHT LINE . 13.
... line MK , the x of that point will always = a . 16. In general , if we are given an equation of any degree between the coordinates , let us assume for x any value we please ( a ) , and the equation will enable us to ... RIGHT LINE . 13.
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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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