2d.—Madison signals recorded at both stations. Times of signals given at Madison by sidereal Chronometer No. 2557. h. m. s. 17 52 29.5 17 55 30 17 58 30.5 h. m. s. h. m. s. Madison signals. h. m. s. h. m. s. 11 21 24.42 16 13 49.41 16 06 47.03 Difference of Longitude by each signal.Madison west of the meridian of Chi cago observing station No. 3. h. m. 8. 0 07 02.38 0 07 02.38 0 07 02.38 0 07 02.38 Result:-Madison Observing Station is west, in longitude, of Chicago observing Station No. 3, by a mean of the two sets of signals, Reduction to the dome of the State Capital, Dome of the State Capital at Madison, west, in longi tude, of Chicago Station No. 3, Longitude of Chicago Station No. 3. 1st Determination. 0 07 02.37 +007 02.375 0.23 +0 07 02.14 +5 50 31.20 Longitude of the dome of the State Capital at Madison, + 5 57 33.34 We also observed for the time at Madison, about midnight of June 5th, 1859, and afterwards exchanged telegraphic signals with Chicago, which gave us another comparison with the meridian of Chicago for the longitude of this station, as follows, viz.— Observations for the Time. At Madison Station No. 2. 1859, June 5th. Sidereal chronometer No. 2557, fast: By 7 observations on a Canum Venaticorum, west By 7 observations on a Cygni, east (at 16h. 56m.) for this station (at 16h. 47m. A comparison of this result with the last mentioned Chicago timeobservations, by means of the following signals, which were exchanged by telegraph after midnight of June 5th, give us another comparison of longitude between the two places, as follows, viz. Determination of the difference of Longitude between Chicago and Madison, Wisconsin, by electric signals for comparisons of time, Sidereal Chronometer No. 2557, fast, of Madison sidereal time (at 17h. 21m. 26s. sidereal time), 1h. 45m. 478.37. Rate per sidereal day, + 6s.086; or per sidereal hour, + 0s.2535. Mean solar Chronometer No. 141, slow, of Chicago mean solar time (at 12h. 31m. 55s. mean time), 4m. 43s.63. Rate per mean solar day, Os.0083. 0s.20; or per mean solar hour, 1st.-Chicago signals recorded at both stations. 1st Mean. Electric signals sent from Chicago to Madison, 2d.-Madison signals recorded at both stations. Difference of Longitude by each signal.Madison is west of the meridian of Chicago observing station No. 3. h. m. S. 0 07 01.64 0 07 01.67 0 07 01.647 h. m. s. 12 36 10 12 39 10 12 42 10 h. m. 8. h. m. 8. h. m. 8. h. m. S. 12 40 54.64 17 37 29.25 17 30 27.60 Result:-Madison Observing Station is west, in longitude, of Chicago observing station No. 3, by a mean of the two sets of signals, Difference of Longitude by each signal.Madison is west of the meridian of Chicago observing station No. 3. h. m. S. 0 07 01.65 0 07 01.66 0 07 01.66 0 07 01.657 0 07 01.647 -0 07 01.65 Brought forward, h. m. 8. +0 07 01.65 Reduction to the dome of the Capital, Dome of the Capital, west, in longitude, of Chicago Station No. 3, Longitude of Chicago Station No. 3, 2d Determination of June 5th, 1859. Longitude of this dome, Result adopted, giving the determination of June 4th a weight of 3, to 2 assigned to that of June 5th, 1859: longitude of the dome of the State Capital of Wisconsin, at Madison, west of the meridian of Greenwich, Equal, in arc, to Latitude, as before given, 5 57 33.05 89° 23' 15".75 W. 43° 04' 30'.8 N. We offer the above as a closer approximation, to supersede that heretofore reported, as derived from the less satisfactory observations of June, 1858. J. D. GRAHAM, Member of the Society. Pending nomination No. 391 was read, and, the balloting being ordered, a letter from Dr. Dunglison was read, regretting his necessary absence. The resignation of Mr. Hazlehurst was then, on motion of Dr. Hays, accepted. No further business being before the meeting, the ballot was scrutinised, and Prof. Samuel H. Dickson, M.D., of Philadelphia, was declared duly elected a member of the Society, which was then adjourned. Dr. JOHN L. LE CONTE, Secretary, in the Chair. A letter was read from Prof. Dickson, dated at Phila. Aug. 5, 1859, acknowledging the receipt of notice of his election. The following donations for the Library were announced: Patent Office Report for 1857. Wash. 1858.-From the U. S. G. U. S. Coast S. Report for 1857. Wash. 1858.-Supt. U. S. C. S. Washington Observatory during 1849, 1850.-From M. F. Maury. Astronomical Journal. No. 126. Cambridge.-From B. A. Gould. Monthly Notices, R. A. Soc. XIX. 8. London.-From the Soc. Proceedings Acad. Nat. Sci. 13. Philadelphia. From the Society. Journ. Franklin Institute. Aug. 1859. Phila.From the Institute. Med. News and Library. Aug. 1859. Phila.-Blanchard & Lea. Index Catalogue, Public Library of Boston.-From Prof. Jewett. Supplement, By-laws, 6th Report, &c. of the same.-Prof. Jewett. An. Report N. Y. State Library. Albany, 1859.-The Trustees. 11th An. Report, Maryland Inst. Baltimore, 1859.-From the Ins. Sitzungsberichte K. A. Math.-Nat. C. XXIV. B. III. H. No. 5-6, 7, 8, 9, 10. XXVIII B, No. 1-26. Phil.-Hist. C. XXIII. B. V. H. No. 5-10, 1—8. Almanach 8th year, 1858, and Festrede by Karajan.-From the Academy of Sciences at Vienna. A communication for the Transactions, was received from Prof. Loomis, entitled OBSERVATIONS OF THE MAGNETIC DIP IN THE UNITED STATES, by Elias Loomis, Professor of Math VOL. VII.-Q |