A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica viii
... Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 255 , 284 ) · Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord ( see also p . 321 ) . • Polar Equation , Focus being Pole Segments ...
... Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 255 , 284 ) · Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord ( see also p . 321 ) . • Polar Equation , Focus being Pole Segments ...
Stranica ix
... Focus on Normal 213 Coordinates of intersection of two Normals 214 Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 338 ) 214 Given three Points on Equilateral Hyperbola , a ...
... Focus on Normal 213 Coordinates of intersection of two Normals 214 Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 338 ) 214 Given three Points on Equilateral Hyperbola , a ...
Stranica x
... Focus have two imaginary common Tangents ( see also pp . 320 , 353 ) Method of finding Coordinates of Foci of given Conic ( see also p . 353 ) 233 234 234 • 235 236 237 238 238 239 239 Relation between Perpendiculars from any Point of ...
... Focus have two imaginary common Tangents ( see also pp . 320 , 353 ) Method of finding Coordinates of Foci of given Conic ( see also p . 353 ) 233 234 234 • 235 236 237 238 238 239 239 Relation between Perpendiculars from any Point of ...
Stranica xi
... Focus of a Conic given three Tangents ( see also pp . 239 , 353 ) 275 Directrix of Parabola passes through intersection of Perpendiculars of circum- scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four ...
... Focus of a Conic given three Tangents ( see also pp . 239 , 353 ) 275 Directrix of Parabola passes through intersection of Perpendiculars of circum- scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four ...
Stranica xii
... Focus 284 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 ...
... Focus 284 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 ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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