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First Analysis of 177 Magnetic Storms, registered by the Magnetic Instru- 

 ments in tlie Royal Observatory, Greenwich, from 1841 to 1857. By 

 George Biddell Airy, F.R.S., Astronomer Royal 48 



On the Sudden Squalls of 80th October and 21st November 1863. By 

 Balfoiir Stewart, M.A., F.R.S., Superintendent of the Kew Observatory. 

 (Plate I) 51 



On the Equations of Rotation of a Solid Body about a Fixed Point. By 

 William Spottiswoode, M.A., F.R.S 52 



Experiments, made at Watford, on the Vibrations occasioned by Railway 

 Trains passing through a Tunnel. By Sir James South, LL.I)., F.R.S., 

 one of the Visitors of the Royal Observatory of Greenwich 65 



Extract of a Letter to General Sabine from Dr. Otto Torell, dated from 

 Copenhagen, Dec. 12, 1863 83 



Results of homiy Observations of the Magnetic Declination made by Sir 

 Francis Leopold M^Clintock, R.N., and the Officers of the Yacht ^ Fox,' 

 at Port Kennedy, in the Arctic Sea, in the Winter of 1858-59 ; and a 

 Comparison of these Results with those obtained by Captain Maguire, 

 R.N., and the Officers of H.M.S. ' Plover,' in 1852, 1853, and 1854, at 

 Point Barrow. By Major-General Sabine, R.A., President 84 



Examination of Ituhia munjista, the East-Indian Madder, or Munjeet of 

 Commerce. By John Stenhouse, LL.D., F.R.S 86 



On the Magnetic Variations observed at Greenwich. By Professor Wolf, 

 ofZmich 87 



A Description of the Pneumogastric and Great Sympathetic Nerves in an 

 Acephalous Fcetus. By Robert James Lee, B.A. Cantab 90 



On the Conditions, Extent, and Realization of a Perfect Musical Scale on 

 Instruments with Fixed Tones. By Alexander J. EUis, B.A., F.C.P.S. . . 93 



On the Osteology of the genus Glyptodon, By Thomas Henry Huxley, 

 F.R.S 108 



On the Great Storm of December 3, 1863, as recorded by the Self-registering 

 Instruments at the Liverpool Observatory. By John Hartnup, F.R.A.S., 

 Director of the Observatory 109 



On the Criterion of Resolubility in Integral Numbers of the Indeterminate 

 Equation f=ax'^-a!x'^-\-a"x"^-[-^hx'x"-\-2Vxx"-\-'lh"x'x==0. 

 By H. J. Stephen Smith, M.A., F.R.S., Savilian Professor of Geometry 

 in the University of Oxford . 110 



Results of a Comparison of certain Traces produced simultaneously by the 

 Self-recording Magnetographs at Kew and at Lisbon especially of those 

 which record the Magnetic Disturbance of July 15, 1863. By Senhor 

 Capello, of the Lisbon Observatory, and Balfour Stewart, M.A., F.R.S. 

 (Platen.) Ill 



Experiments to determine the effed;s of impact, vibratory action, and along- 

 continued change of Load on Wrought-iron Girders. By William Fair- 

 bairn, LL.D., F.R.S 121 



On the Calculus of Symbols. — Fourth Memoir. With Applications to the 

 Theory of Non-Linear Differential Equations. By W. H. L. RusseU, A.B. 126 



On Melecular Mechanics. By the Rev. Joseph Bayma, of Stonyhurst 

 College, Lancashire 126 



