1474 38; 2, I, I, 4, 1, 7, I, 2, 2, 4, 1, 2, 3, 1, 10, 5, (38) 30, 33, 41, 14, 57, 9, 50, 23, 30, 15, 46, 25, 18, 55, 7, 15, (2) 38; 2, 3, 6, 8, 2, 1, I, I, I, I, 5, 1, 3, 1, 2, 18, 1, 6, 25, 2, (10) 33, 21, 12, 9, 28, 37, 33, 36, 31, 43, 12, 53, 17, 44, 27, 4, 63, 11, 3, 36, (7) 38; 2, 4, (38) 34, 17, (2) 1481* 38; 2, 14, 1, 8, 1, 2, 5, I, I, 2, 1, 4, 10, 1, 3, 1, 1, (1, 1) 37, 5, 65, 8, 49, 25, 13, 40, 35, 23, 47, 16, 7, 56, 17, 41, 32, (35, 35) 1482 38; (2) 1483 (38) 38; 1, 1, 25, 5, 1, 7, 1, 2, I, I, I, I, 2, 4, 6, 1, 3, 2, 2, 1, 1, 12, 3, 1, (37) 41 20928 70570 44632 38045 39, 38, 3, 13, 58, 9, 51, 22, 39, 33, 34, 37, 27, 17, 11, 53, 18, 29, 26, 33, 43, 6, 19, 57, (2) 1586 95889 00942 30191 81226 1484 38; I, I, (10) 40, 37, (7) 44 1695 1497 38; 1, 2, 4, 4, I, I, I, 1, 6, 2, 2, 1, 8, 1, (24) 53, 24, 17, 16, 41, 33, 32, 43, 11, 31, 23, 51, 8, 67, (3) 1498 38; 1, 2, 2, I, I, I, 3, 1, 12, 8, 1, I, (10) 54, 23, 26, 39, 31, 42, 17, 57, 6, 9, 38, 39, (7) 56, 21, 44, 25, 24, 49, 11, 25, 51, (4) End of Table. 38; I, 2, I, I, 7, 5, I, 4, 1, 2, 3, 1, 2, I, I, 2, 10, 1, 2, 15, 6, 1, (37) 55, 22, 35, 41, 10, 13, 55, 14, 47, 25, 19, 46, 23, 38, 35, 29, 7, 49, 26, 5, 11, 65, (2) 38; 1, 2, I, 2, 2, 1, 6, 2, 1, (18) 87 3365 In connexion with the subject we have a paper, 'A Table of the Square Roots of Prime Numbers of the form 4m+1 less than 10000 expanded as Periodic Continued Fractions,' by C. A. Roberts, with Introduction and Explanation by Artemas Martin, the 'Mathematical Magazine,' vol. ii. (No. 7, for October 1892), pp. 105-120. This extends, in fact, to numbers up to 10501, but only the denominators of the continued fractions (that is, the first lines of Degen's and the present table) are given: thus the entry for 1009 is 31; 1, (3, 3). The paper just referred to notices errors in Degen's tables for the numbers 853 and 929. For 853 the first line should be 29, 4, 1, 5, 1, 2, 4, 1, 1, 15, 19, (2, 2) (15 instead of Degen's 14). For 929 the first and second lines should be 30, 2, 11, 1, 2, 3, 2, 7, 5, (2, 2) The values of x, y in Table I. and those in Table II. (for the solution of y2=ax2-1) are correct for each of the numbers 853 and 929. On the Establishment of a National Physical Laboratory.-Report of the Committee, consisting of Professor OLIVER J. LODGE (Chairman), Mr. R. T. GLAZEBROOK (Secretary), Lord KELVIN, Lord RAYLEIGH, Sir H. E. Roscoe, Professors J. J. THOMSON, A. W. RÜCKER, R. B. CLIFTON, G. F. FITZGERALD, G. CAREY FOSTER, J. VIRIAMU JONES, A. SCHUSTER, and W. E. AYRTON. THE Committee hoped to have been able to present a report dealing with the work done at the Reichsanstalt in Berlin and the Bureau International at Sèvres. They have not, however, been able to prepare this report in time for the meeting, and they desire to be reappointed to continue their investigations. The Best Means of Comparing and Reducing Magnetic Observations.-Interim Report of the Committee, consisting of Professor W. GRYLLS ADAMS (Chairman and Secretary), Lord KELVIN, Professors G. H. DARWIN and G. CHRYSTAL, Mr. C. H. CARPMAEL, Professor A. SCHUSTER, Mr. G. M. WHIPPLE, Captain CREAK, THE ASTRONOMER ROYAL, Mr. WILLIAM ELLIS, and Professor A. W. RÜCKER. THE Committee have considered and reported to the Admiralty on plans, submitted to them by Mr. Gill, for a Magnetic Observatory at the Cape of Good Hope. In conjunction with Mr. Gill, they have drawn up a scheme embodying their recommendations as to its establishment and maintenance, which has been laid before, and is under the consideration of, the Admiralty. The Committee desire to be reappointed, with the addition of Mr. Charles Chree in the place of the late Mr. G. M. Whipple. On Electro-optics.-Report of the Committee, consisting of Dr. JOHN KERR (Chairman), Mr. R. T. GLAZEBROOK (Secretary), Lord KELVIN, and Professor A. W. RÜCKER. THE Committee report that Dr. Kerr's experiments have been continued, and that he hopes shortly to have further results ready for publication. Magnetic Work at the Falmouth Observatory.—Report of the Committee, consisting of Mr. HOWARD Fox, Professor A. W. RÜCKER, and Professor W. G. ADAMS. Magnetical Observations. [Made at the Falmouth Observatory, latitude 50° 9' 0" N. and longitude 5° 4′ 35′′ W., height 167 feet above mean sea level, for the year 1892, by Edward Kitto, Superintendent.] THE results in the following tables, Nos. 1, 2, 3, 4, are deduced from the magnetograph curves which have been standardised by observations of deflection and vibration. These were made with the collimator magnet marked 66A, and the declinometer magnet marked 66c in the unifilar magnetometer by Elliott Bros., of London. Table No. 5 is deduced from these observations. The inclination was observed with the inclinometer by Dover, of Charlton, Kent, No. 86, and needles 1 and 2, which are 3 inches in length, the results of which appear in Table No. 6. The declination and horizontal force values given in Tables 1 to 4 are prepared in accordance with the suggestions made in the fifth report of the Committee of the British Association on Comparing and Reducing Magnetic Observations. The following is a list of the days during the year 1892 which were selected by the Astronomer Royal as suitable for the determination of the magnetic diurnal variations, and which have been employed in the preparation of the magnetic tables : |