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 vii
... Pole of the Line at infinity ( see also p . 296 ) Asymptotes of Curve • Equation of the Axes , how found · 154 • 155 155 155 156 • Functions of the Coefficients which are unaltered by transformation 157 Sum of Squares of Reciprocals of ...
... Pole of the Line at infinity ( see also p . 296 ) Asymptotes of Curve • Equation of the Axes , how found · 154 • 155 155 155 156 • Functions of the Coefficients which are unaltered by transformation 157 Sum of Squares of Reciprocals of ...
Stranica viii
... 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 of Focal Chord have constant Harmonic Mean 183 183 • • 184 ...
... 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 of Focal Chord have constant Harmonic Mean 183 183 • • 184 ...
Stranica x
... Pole of a given Line with regard to a Conic passing through four fixed Points ( see also pp . 153 , 268 , 271 , 302 ) 253 254 • • . or touching four right Lines ( see also pp . 267 , 277 , 281 , 321 , 339 ) 254 • Focal properties of ...
... Pole of a given Line with regard to a Conic passing through four fixed Points ( see also pp . 153 , 268 , 271 , 302 ) 253 254 • • . or touching four right Lines ( see also pp . 267 , 277 , 281 , 321 , 339 ) 254 • Focal properties of ...
Stranica xi
... Pole of a given Line 266 Condition that a Line should touch a Conic ( see also pp . 152 , 340 ) 266 . Condition that two Lines should be conjugate 267 Hearn's method of finding Locus of Centre of a Conic , four conditions being given ...
... Pole of a given Line 266 Condition that a Line should touch a Conic ( see also pp . 152 , 340 ) 266 . Condition that two Lines should be conjugate 267 Hearn's method of finding Locus of Centre of a Conic , four conditions being given ...
Stranica xii
... Pole of the Line at infinity 295 296 • Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to 296 Asymptote • 297 Parallels to Asymptotes through ...
... Pole of the Line at infinity 295 296 • Asymptotes together with two Conjugate Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to 296 Asymptote • 297 Parallels to Asymptotes through ...
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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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