Bulletin of the American Mathematical SocietySociety, 1896 |
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Σελίδα 6
... corresponding versors . The obvious associative principle of the composition of the rotations proves the corresponding associative principle of multiplication of versors . This paper will appear in the BUL- LETIN OF THE AMERICAN ...
... corresponding versors . The obvious associative principle of the composition of the rotations proves the corresponding associative principle of multiplication of versors . This paper will appear in the BUL- LETIN OF THE AMERICAN ...
Σελίδα 14
... ) ( v2 — a ̈o ) ( c2 — v2 ) ] = 0 , J represent the three systems of conics having double contact with two confocal conics . If we make a'∞ , which corresponds to the two 14 ON THE DIFFERENTIAL EQUATIONS OF [ Oct. ,
... ) ( v2 — a ̈o ) ( c2 — v2 ) ] = 0 , J represent the three systems of conics having double contact with two confocal conics . If we make a'∞ , which corresponds to the two 14 ON THE DIFFERENTIAL EQUATIONS OF [ Oct. ,
Σελίδα 15
American Mathematical Society. If we make a'∞ , which corresponds to the two imagi- nary points at infinity , we get αμ ± dv √ ( a2 — μ3 ) — √ ( a2 — v3 ) ± μα μ = = 0 , vdv √ { ( μ3 — a3 ) ( μ3 — c2 ) } √ { ( a ' — v2 ) ( c2 — v ...
American Mathematical Society. If we make a'∞ , which corresponds to the two imagi- nary points at infinity , we get αμ ± dv √ ( a2 — μ3 ) — √ ( a2 — v3 ) ± μα μ = = 0 , vdv √ { ( μ3 — a3 ) ( μ3 — c2 ) } √ { ( a ' — v2 ) ( c2 — v ...
Σελίδα 16
... corresponds to the imaginary circle at infinity : then the conics become circles having double contact with two confocal quadrics . Now equations ( 6 ) in this case become simply the differen- tial equations of lines touching the two ...
... corresponds to the imaginary circle at infinity : then the conics become circles having double contact with two confocal quadrics . Now equations ( 6 ) in this case become simply the differen- tial equations of lines touching the two ...
Σελίδα 17
... corresponding to the parameter a ,, and similarly for the other expressions . Thus we have linear relations con- necting every three of the radicals X , VX2 , ... , √ Xa.i or we may take each of these proportional to p 1895 ] 17 ...
... corresponding to the parameter a ,, and similarly for the other expressions . Thus we have linear relations con- necting every three of the radicals X , VX2 , ... , √ Xa.i or we may take each of these proportional to p 1895 ] 17 ...
Άλλες εκδόσεις - Προβολή όλων
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
Δημοφιλή αποσπάσματα
Σελίδα 90 - Council of the Institution of Naval Architects, Associate Member of the Institution of Civil Engineers, Professor of Applied Mechanics in the Royal Naval College, Greenwich.
Σελίδα 156 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 28 - THE HARPUR EUCLID. An Edition of Euclid's Elements revised in accordance with the Reports of the Cambridge Board of Mathematical Studies and the Oxford Board of the Faculty of Natural Science. By...
Σελίδα 230 - G a. H. TABER. On the group of real linear transformations whose invariant is a real quadratic form. Assuming that the roots of the characteristic equation of the quadratic form are not all of the same sign, the author shows that a transformation of the group can be generated by the repetition of an infinitesimal transformation of the group, if it is an even power of a transformation of this group (p. 77 — 83). American Journal of Mathematics, XIX (3, 4), Ï897.
Σελίδα 122 - Tafel der vielfachen Sinus und Cosinus, sowie der vielfachen Sinus versus von kleinen Winkeln, nebst Tafel der einfachen Tangenten, zum Gebrauche für praktische Geometer und Mechaniker überhaupt und für Markscheider besonders.
Σελίδα 27 - A Geometrical Treatment of Curves which are isogonal conjugate to a straight line with respect to a triangle.
Σελίδα 86 - Bibliographie des travaux scientifiques (sciences mathematiques, physiques et naturelles) publies par les societes savantes de la France. Dressee sous les auspices du Ministere de l'instruction publique.
Σελίδα 151 - HOUEL (J.). —Tables de Logarithmes à cinq décimales, pour les nombres et les lignes trigonométriques, suivies des Logarithmes d'addition et de soustraction ou Logarithmes de Gauss et de diverses Tables usuelles.
Σελίδα 153 - Géodésie ou Traité de la Figure de la Terre et de ses parties ; comprenant la Topographie, l'arpentage, le Nivellement, la Géomorphie Terrestre et Astronomique, la Construction des Cartes, la Navigation; Leçons données à la Faculté des Sciences de Paris, 3" édition, revue et corrigée sur les manuscripts inédits de M.
Σελίδα 55 - Year-Book of the Scientific and Learned Societies of Great Britain and Ireland...