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 x
... Envelope of Chord joining corresponding Points of two homographic systems on a Conic ( see also p . 302 ) 253 · Equation referred to sides of a self - conjugate Triangle Locus of Pole of a given Line with regard to a Conic passing ...
... Envelope of Chord joining corresponding Points of two homographic systems on a Conic ( see also p . 302 ) 253 · Equation referred to sides of a self - conjugate Triangle Locus of Pole of a given Line with regard to a Conic passing ...
Página xi
... Envelope of Chord subtending constant Angle , or subtending right Angle at Point not on Curve 270 Given four Points , Polar of a fixed Point passes through fixed Point Locus of intersection of corresponding Lines of two homographic ...
... Envelope of Chord subtending constant Angle , or subtending right Angle at Point not on Curve 270 Given four Points , Polar of a fixed Point passes through fixed Point Locus of intersection of corresponding Lines of two homographic ...
Página xii
... Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 Tangential ...
... Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 Tangential ...
Página xiv
... Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another . 349 · Locus of free Vertex of a Polygon all whose sides touch one Conic , and all whose Vertices but one move on another Condition that Lines ...
... Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another . 349 · Locus of free Vertex of a Polygon all whose sides touch one Conic , and all whose Vertices but one move on another Condition that Lines ...
Página xv
... Envelope Determination of Radii of Curvature PAGE 362 362 • 363 365 • 365 366 368 371 372 373 374 374 Excess of sum of two Tangents over included Arc , constant when Vertex moves on Confocal Ellipse 377 • Difference of Arc and Tangent ...
... Envelope Determination of Radii of Curvature PAGE 362 362 • 363 365 • 365 366 368 371 372 373 374 374 Excess of sum of two Tangents over included Arc , constant when Vertex moves on Confocal Ellipse 377 • Difference of Arc and Tangent ...
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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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