Bulletin of the American Mathematical SocietySociety, 1934 |
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Page 103
... plane to Fat P passes through O. A 3 - space containing OP , but not the tangent plane , meets F in a curve to which OP is a simple tangent . Hence its projection is a plane curve on F ' , having a cusp at P ' , the projection of P. The ...
... plane to Fat P passes through O. A 3 - space containing OP , but not the tangent plane , meets F in a curve to which OP is a simple tangent . Hence its projection is a plane curve on F ' , having a cusp at P ' , the projection of P. The ...
Page 104
... plane to F is the osculating plane to this curve and meets it , and there- fore F , in four points at P. Therefore this 3 - space , tangent to V at P , meets S3 in a plane π , which contains the cuspidal tan- gents to all sections of F ...
... plane to F is the osculating plane to this curve and meets it , and there- fore F , in four points at P. Therefore this 3 - space , tangent to V at P , meets S3 in a plane π , which contains the cuspidal tan- gents to all sections of F ...
Page 423
... plane field ( m1g2 ) . Likewise a line t belonging to the regulus k ~ ( T ) an entire plane field of lines . The entire plane field ( gig2 ) and the bundle ( 0 ) are invariant as well as singular under T. Now choose R at O , and A in ...
... plane field ( m1g2 ) . Likewise a line t belonging to the regulus k ~ ( T ) an entire plane field of lines . The entire plane field ( gig2 ) and the bundle ( 0 ) are invariant as well as singular under T. Now choose R at O , and A in ...
Contents
An Arithmetical Property of Recurring Series of | 825 |
On the Enumeration of Magic Cubes By D N LEHMER | 833 |
The Principal Matrices of a Riemann Matrix By A | 843 |
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a₁ Abstract algebra analytic Annals of Mathematics application arbitrary asymptotic b₁ bounded bounded variation Bulletin C₁ calculus coefficients contains continuous continuous function convergence corresponding Cremona transformations curvature curve defined definition degree denote derivatives determined differential equations e₁ elements exists exponential type field finite following theorem formula Fourier series Garrett Birkhoff geometry given Hence infinite integer interval invariant irreducible Journal of Mathematics L. E. Dickson lemma linear Mathematical Society Mathematische matrices method metric space National Research Fellow necessary and sufficient non-singular obtained Paris plane polynomials positive postulates prime problem Professor proof properties proved quadric rational Read Dec Received November relation satisfies sequence solution space sufficient condition summable surface symbols tangent theory tion Transactions transformation uniformly University values variables vector x₁ zero