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 ix
... point ( see also pp . 166 189 , 391 ) • Radii Vectores through Foci have equal difference of Reciprocals . Examples ... CONTACT OF CONICS 225 Contact having double contact 226 Osculating Circle defined 227 Expressions and construction ...
... point ( see also pp . 166 189 , 391 ) • Radii Vectores through Foci have equal difference of Reciprocals . Examples ... CONTACT OF CONICS 225 Contact having double contact 226 Osculating Circle defined 227 Expressions and construction ...
Stranica x
... Points · Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at mfinity if concentric , touch at infinity All ...
... Points · Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at mfinity if concentric , touch at infinity All ...
Stranica xi
... Point be within or without a Conic 260 261 Discriminant of Tangential Equation 262 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 262 • touching four Lines ...
... Point be within or without a Conic 260 261 Discriminant of Tangential Equation 262 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 262 • touching four Lines ...
Stranica xii
... Point where Tangent meeting two fixed Tangents is cut in a given ratio 277 ... contact with a given one 282 • Polar of one Circle with regard to another ... Point infinitely distant Centre the Pole of the Line at infinity 295 296 ...
... Point where Tangent meeting two fixed Tangents is cut in a given ratio 277 ... contact with a given one 282 • Polar of one Circle with regard to another ... Point infinitely distant Centre the Pole of the Line at infinity 295 296 ...
Stranica xiv
... Points common to two Conics Equation of four common Tangents 341 • 342 342 • 343 344 Their eight Points of Contact lie on a Conic Covariants and Contravariants defined Discriminant of Covariant F , when vanishes • 345 : 346 348 How to ...
... Points common to two Conics Equation of four common Tangents 341 • 342 342 • 343 344 Their eight Points of Contact lie on a Conic Covariants and Contravariants defined Discriminant of Covariant F , when vanishes • 345 : 346 348 How to ...
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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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