Proceedings of the London Mathematical SocietyLondon Mathematical Society, 1892 "Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965. |
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Términos y frases comunes
a₁ acnodes angles automorphic function axis b₁ coefficients common tangents condition conic conjugate constant corresponding crunodes cusps denote determined differential double contact dr² dx dy elliptic integrals equation expression finite fluxions follows formulæ four circles fuchsian fuchsian group fundamental substitutions G₁ Geometrie Hence homologues hyperelliptic integral imaginary infinite infinity intersect kleinian groups linear Mathematical N₁ nodal cubic nodes November obtained pair parameters plane points of contact polar polygon positive Prop quadric quantity quartics relation result Riemann's surface right circular cones solution stationary curve suppose symmetrical group theorem theory torsion touch transformation triangle vanish variables variation whence wire Y₁ zero
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Página 274 - A Description of a Machine for finding the Numerical Roots of Equations and tracing a Variety of Useful Curves," of which a short notice appears in the British Association Report for that year.
Página 273 - If the two sets of generaiors of a hyperbololl be connecter! by articulated joints wherever they meet, then the system remains movable, the hyperboloid changing its shape. It was also soon found that each point moves during this deformation along the normal to the momentary position of the surface, and that therefore the different positions of the surface constitute a system of confocal hyperboloids. He then made a model such that the generators represented by sticks meet at points which lie on lines...
Página 11 - W, ; it therefore follows, that the boundary conditions at the common surface of two different media, are unaffected by the presence of the terms depending on the action of the matter. These conditions will therefore be, continuity of the displacements and stresses arising from the action of the ether. With regard to the physical properties of the ether, I shall provisionally adopt the hypothesis of Lord Kelvin, that the latter is to be treated as an elastic medium, whose resistance to compression...
Página 225 - President, in the Chair. The following gentlemen were elected members of the Society: RFW Brandt, Esq., GH N Bridges, Esq., Lieut.-Col.
Página 1 - Prof. Greenhill, FRS, President, in the chair. — The President announced the recent decease of Prof. Wolstenholme, with whom he had been associated at Cooper's Hill, and paid a feeling tribute to his memory, in the course of which he touched upon Prof. Wolstenholme's mathematical work. — The following communications were made : — The equations of propagation of disturbances in gyrostalically...
Página 11 - ... a plane perpendicular to the plane of incidence, and that it is the truth of the formulae, not that of the hypotheses, which is under consideration. Nevertheless the formulae require further confirmation. When the angle of incidence becomes 90°, it follows from Fresnel's expressions that, whether the incident light is polarized in or perpendicularly to the plane of incidence, the intensity of the reflected light becomes equal to that of the incident, and consequently the same is true for common...
Página 273 - College the problem to construct a model of a hyperbnloid of one sheet by fixing three sticks anyhow, placing others so as to cut these, and tying them together wherever they met. He told the student that the system would soon become rigid, but was surprise I to find that this was not the case.
Página 11 - However, in a genera] case [Fig. 4. ] where the orientation of polarization is neither parallel nor perpendicular to the plane of incidence, the reflected light...
Página 105 - Memoires de la Societe des Sciences Physiques et Naturelles de Bordeaux.
Página 315 - Sur la liaison entre les expressions du rayon de courbure en coordonnées ponctuelles et en coordonnées langentielles.