Bulletin of the American Mathematical SocietySociety, 1896 |
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Σελίδα 5
... fixed conics , etc. , and in space , of conics touching six fixed planes , conics having double contact with three quadrics inscribed in the same developable , circles having double contact with two confocal quadrics , etc. These ...
... fixed conics , etc. , and in space , of conics touching six fixed planes , conics having double contact with three quadrics inscribed in the same developable , circles having double contact with two confocal quadrics , etc. These ...
Σελίδα 13
... First of all , in a plane , I consider the three systems of conics having double contact with two fixed conics . Let the latter be referred to their common self - conjugate triangle 1895 ] 13 CERTAIN SYSTEMS OF CONICS .
... First of all , in a plane , I consider the three systems of conics having double contact with two fixed conics . Let the latter be referred to their common self - conjugate triangle 1895 ] 13 CERTAIN SYSTEMS OF CONICS .
Σελίδα 14
... fixed lines ) x2 y1 = + + = : 0 ; a + p b + p c + p ( 1 ) then if p , q are the roots of this equation , the differential equation dp 土 dq [ ( a + p ) ( b + p ) ( a + p ) ( a ' + p ) ] v [ ( a + q ) ( b + 9 ) ( x + 9 ) ( ~ + y } ] = 0 ...
... fixed lines ) x2 y1 = + + = : 0 ; a + p b + p c + p ( 1 ) then if p , q are the roots of this equation , the differential equation dp 土 dq [ ( a + p ) ( b + p ) ( a + p ) ( a ' + p ) ] v [ ( a + q ) ( b + 9 ) ( x + 9 ) ( ~ + y } ] = 0 ...
Σελίδα 17
... fixed planes in space . Now there is a definite unique twisted curve of the third degree which may be described to osculate the six fixed . planes . Hence , since an osculating plane of the twisted cubic can be written in the form Xμ ...
... fixed planes in space . Now there is a definite unique twisted curve of the third degree which may be described to osculate the six fixed . planes . Hence , since an osculating plane of the twisted cubic can be written in the form Xμ ...
Σελίδα 18
... fixed conics is , however , imaginary , namely , the imaginary circle at infinity on a sphere . Consider the confocal cones X2 ма x2 + b1 y3 - y ' b2 C2 = C3 22 - моя y2 + z2 intersecting the sphere x + y + 18 [ Oct. , CERTAIN SYSTEMS ...
... fixed conics is , however , imaginary , namely , the imaginary circle at infinity on a sphere . Consider the confocal cones X2 ма x2 + b1 y3 - y ' b2 C2 = C3 22 - моя y2 + z2 intersecting the sphere x + y + 18 [ Oct. , CERTAIN SYSTEMS ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
Abelian Abelian integrals algebraic AMERICAN MATHEMATICAL SOCIETY analytic application atmosphere Auflage B₁ Bessel's functions BULLETIN calculus chapter characteristic equation circle Cloth coefficients confocal consider contains convergent coördinates corresponding curve cyclide degree denote determinant differential equations Diss divergent series double contact édition elementary elements factors fixed conics foci FRANK MORLEY Gauthier-Villars géométrie geometry GF[p given group G Hence identical infinite infinitesimal transformation infinity intersections Jacobian Leipzig letters linear group linear homogeneous group linear transformation locus London Macmillan Math Mathematik method motion obtained paper Paris plane plates polygons problem Professor Progr proof quadrics quartic quaternions R₁ rational function Riemann Riemann surface roots rotation solution special linear homogeneous substitution surface system of conics tangents Teubner theorem tion Traité Ueber values variables X₁ York
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