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 iv
... Relation · Loci solved by Polar Coordinates CHAPTER IV . THE RIGHT LINE . - ABRIDGED NOTATION , 2 PAGE 28 29 30 31 32 32 33 34 35 36 36 39 47 47 • 50 50 • 51 Meaning of Constant & in Equation a = kß Bisectors of Angles , Bisectors of ...
... Relation · Loci solved by Polar Coordinates CHAPTER IV . THE RIGHT LINE . - ABRIDGED NOTATION , 2 PAGE 28 29 30 31 32 32 33 34 35 36 36 39 47 47 • 50 50 • 51 Meaning of Constant & in Equation a = kß Bisectors of Angles , Bisectors of ...
Página vi
... Relation connecting common Tangents of four Circles touched by same fifth Method of Inversion of Curves Quantities unchanged by Inversion • CHAPTER IX . THE CIRCLE - ABRIDGED NOTATION . Equation of Circle circumscribing a Quadrilateral ...
... Relation connecting common Tangents of four Circles touched by same fifth Method of Inversion of Curves Quantities unchanged by Inversion • CHAPTER IX . THE CIRCLE - ABRIDGED NOTATION . Equation of Circle circumscribing a Quadrilateral ...
Página vii
... Relation between intercepts made by variable Tangent on two parallel Tangents Or on two Conjugate Diameters Given two Conjugate Diameters to find the Axes 171 172 · 172 173 , 176 NORMAL : its Properties PAGE 173 To draw a Normal ...
... Relation between intercepts made by variable Tangent on two parallel Tangents Or on two Conjugate Diameters Given two Conjugate Diameters to find the Axes 171 172 · 172 173 , 176 NORMAL : its Properties PAGE 173 To draw a Normal ...
Página ix
... Relation between three points whose osculating Circles meet Conic again in the same Point 229 229 Coordinates of centre of Curvature 230 • Evolutes of Conics ( see also p . 338 ) 231 CHAPTER XIV . ABRIDGED NOTATION . Meaning of the ...
... Relation between three points whose osculating Circles meet Conic again in the same Point 229 229 Coordinates of centre of Curvature 230 • Evolutes of Conics ( see also p . 338 ) 231 CHAPTER XIV . ABRIDGED NOTATION . Meaning of the ...
Página x
... Relation between Perpendiculars from any Point of Conic on sides of inscribed Quadrilateral 235 236 237 238 · 238 239 239 239 Anharmonic Property of Conics proved ( see also pp . 252 , 288 , 318 ) Extension of Property of Focus and ...
... Relation between Perpendiculars from any Point of Conic on sides of inscribed Quadrilateral 235 236 237 238 · 238 239 239 239 Anharmonic Property of Conics proved ( see also pp . 252 , 288 , 318 ) Extension of Property of Focus and ...
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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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