The Quarterly Journal of Pure and Applied Mathematics, Volumen47J.W. Parker, 1916 |
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Página 53
... polar coordinates and we are led to circular cylinder functions or Bessel functions . If neither da / da nor dB / dB is zero ( 6 ) may be written . d'AdA d'B [ dB - da da dB3 dß One side of this equation being a function of a and the ...
... polar coordinates and we are led to circular cylinder functions or Bessel functions . If neither da / da nor dB / dB is zero ( 6 ) may be written . d'AdA d'B [ dB - da da dB3 dß One side of this equation being a function of a and the ...
Página 55
... polar , elliptic , and parabolic coordinates , but in no others . University College , London . ON SURFACES DOUBLY GENERATED BY CONICS . By C. H. SISAM . INTRODUCTION . 1. THE algebraic surfaces which are multiply generated by conics ...
... polar , elliptic , and parabolic coordinates , but in no others . University College , London . ON SURFACES DOUBLY GENERATED BY CONICS . By C. H. SISAM . INTRODUCTION . 1. THE algebraic surfaces which are multiply generated by conics ...
Página 220
... polar conics degrade into a pair of straight lines . The Steinerian is the locus of the points of intersection Q of these straight lines . The points P and Q are called corresponding points ; and the envelope of PQ is the Cayleyan . 3 ...
... polar conics degrade into a pair of straight lines . The Steinerian is the locus of the points of intersection Q of these straight lines . The points P and Q are called corresponding points ; and the envelope of PQ is the Cayleyan . 3 ...
Página 221
... polar of C is daF / dy3 = 2a " ̄3 ( Rß + 3Sy ) + ... , which shows that the second polar of the corresponding point C touches the Hessian at A. 5. Since the first polar of C is dF / dy = 0 , it obviously has a node at the corresponding ...
... polar of C is daF / dy3 = 2a " ̄3 ( Rß + 3Sy ) + ... , which shows that the second polar of the corresponding point C touches the Hessian at A. 5. Since the first polar of C is dF / dy = 0 , it obviously has a node at the corresponding ...
Página 222
... polar conic of Pis ( A , B , C , A , B , C ' X 2. 3 , 7 , 2 = 0 ..................... .. ( 5` , and since f . g . h , which is the point of intersection of the two straight lines into which 5 degrades , is a node on ( 5 ,, Af + C'g + L ...
... polar conic of Pis ( A , B , C , A , B , C ' X 2. 3 , 7 , 2 = 0 ..................... .. ( 5` , and since f . g . h , which is the point of intersection of the two straight lines into which 5 degrades , is a node on ( 5 ,, Af + C'g + L ...
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Términos y frases comunes
Abelian integral asymptotic black intervals calculation Cayleyan content zero continuous function convergent corresponding point countable countable set cusp decimal denote derivates determinant differential coefficient Dirichlet's series double curve double integral double points edition equation expansion expression finite follows formula fourfold geometrical means given number Green's function harmonic curve Hence Hessian hypertacnode infinite intersection L'Intermédiaire des Math LECAT lemma logarithm method of geometrical MUIR multiple points Napier's node obtained ordinary branch Ozanam paper polar positive content positive number primitive curve proved quadric quartic quotient residues respect result satisfying set of content singularity square roots stars Steinerian summable surface system of conics tacnode tact-invariant tangent plane theorem theory transformation triple point values vanish Vlacq W. H. Young Weierstrass аф др дф
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