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The constant elements belong to January 0, 1810, Paris mean time. The longitudes are referred to the mean equinox of the same epoch.

[The Method of Integration, &c. will be given in the next Number.] ·

Mathematical Monthly Notices.

The Mathematical Correspondent, containing new Elucidations, Discoveries, and Improvements in various branches of the Mathematics, with collections of Mathematical questions resolved by ingenious Correspondents, adapted to the present state of learning in America, and designed to inspire youth with the love of Mathematical knowledge by alluring their attention to the solutions of pleasant and curious questions, and to promote the cultivation of the Mathematics by opening a channel for the ready conveyance of discoveries and improvements from one mathematician to another. "In the mathematical sciences truth appears most conspicuous and shines in its greatest lustre." - EMERSON. Edited by GEORGE BARON. In quarterly numbers of one sheet each. Vol. I. pp. 248. New York. Printed for the Editor by Sage and Clough. 1804. This volume is in the Astor Library, New York.

The Analyst; or, Mathematical Museum, containing new Elucidations, Discoveries, and Improvements in various branches of the Mathematics, with collections of questions proposed and resolved by ingenious Correspondents. Conducted by R. ADRAIN, A. M., Fellow of the American Academy of Arts and Sciences, of the American Philosophical Society, of the Literary and Philosophical Society of New York, and Professor of Mathematics and Natural Philosophy in Columbia College, New York. Nos. I.-V. pp. 150. Philadelphia: Published by William P. Farrand. 1808. No. I. New York: Printed and Published by George Long, 71 Pearl Street. 1814.

The Scientific Journal. Conducted by MR. MARRAT. Published by J. T. Murden & Co. Perth Amboy, N. J. It appears, from a volume of this work in the Astor Library, that it was published in numbers in 1818 and 1819. It contains nine numbers, February to September, 1819, and July and October, 1819. pp. 184. Either this is an imperfect volume, or the numbers were not regularly published.

The Philosophic Magazine, or Gentleman's Diary. Edited by MR. NASH. We have failed to find more than this simple announcement.

The Mathematical Diary, containing new researches and improvements in the Mathematics, with collections of questions proposed and resolved by ingenious Correspondents. In quarterly numbers. Conducted by R. ADRAIN, LL. D., F. A. P. S., F. A. A. S., &c., and Professor of Mathematics and Natural Philosophy in Columbia College, New York. Nos. I. - VIII. Vol. I. pp. 316. 1825. Nos. I.-II. Vol. II. pp. 108. The Mathematical Miscellany. tute at Flushing, Long Island. No. 2 Ann Street. 1836.

1828.

Conducted by C. GILL, Professor of Mathematics in the Insti-
Published at the Institute. New York: W. E. Dean, Printer,

This Periodical was published semiannually. The first Number appeared in February, 1836, and the eighth and last on November 1, 1839. Nos. I.- VI. constitute Vol. I. of 414 pages. Nos. VII. and VIII. contain 142 additional pages.

The Cambridge Miscellany of Mathematics, Physics, and Astronomy. To be continued quarterly. Edited by BENJAMIN PEIRCE, A. A. S., Perkins Professor of Astronomy and Mathematics in Harvard University; and JOSEPH LOVERING, A. A. S., Hollis Professor of Mathematics and Natural Philosophy in Harvard University. Nos. I.-IV., from July, 1842, to January, 1843. pp. 192. 8vo.

The above are all the facts we have been able to gather in regard to the publication of these mathematical and scientific serials; and we publish them in this incomplete state in hopes that some of our correspondents may be induced to revise them, and give the readers of the Monthly a correct account of these early and interesting periodicals.

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THE following gentlemen have sent us solutions of the Prize Problems in the December number of the Monthly:

M. K. BOSWORTH, Sophomore Class, Marietta College, Ohio, Probs. III., IV., and V. WILLIAM HINCHCLIFFE, Barre Plains, Mass., Probs. I., II., III., IV., and V.; but III. and IV. came too late for the Committee.

DAVID TROWBRIDGE, Perry City, N. Y., Probs. III., IV., and V.

J. Q. HOLLISTER, Hamilton College, Clinton, N. Y., Probs. III., IV., and V.

J. A. WINEBRENER, Princeton College, N. Y., Probs. I., II., III., IV., and V.
WILLIAM MINTO, University of Michigan, Probs. III., IV., and V.

C. A. BUCKINGHAM, Hamilton College, N. Y., Probs. III., IV., and V.

H. TIEMAN, Baltimore, Md., Probs. I., II., III., IV., and V.
CORYDON C. OLNEY, Nunda Literary Inst., N. Y., Probs. I. and II.
ARTHUR M. CAZIMAJOU, Polytechnic College, Philadelphia, Prob. V.

S. E. BENJAMIN, Patten, Me., Prob. III.

JAMES F. ROBERSON, Senior Class, Indiana University, Prob. V.

ASHER B. EVANS, Madison University, Hamilton, N. Y., Probs. III., IV., and V.

F. E. TOWER, Senior Class, Amherst College, Probs. III., IV., and V.

WARREN PHELPS, Cortlandville, N. Y., Prob. V.

WILLIAM REYNOLDS, University of Maryland, Baltimore, Probs. I., II., III., IV., and V. FRANK N. DEVEREUX, Boston, Mass., Probs. I. and II.

GUSTAVUS FRANKENSTEIN, Springfield, Ohio, Probs. III. and V.

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Books Received. — Report on Weights and Measures, read before the Pharmaceutical Association at their Eighth Annual Session, held in Boston, September 15, 1859. By Alfred B. Taylor, of Philadelphia, Chairman of the Committee on Weights and Measures. Boston: Press of George C. Rand & Avery, No. 3 Cornhill. 1859. Physical Optics. Part II. The Corpuscular Theory of Light discussed Mathematically. By RICHARD POTTER, A. M., F. C. P. S., &c. Cambridge: Deighton, Bell, & Co. London: Bell & Dalby. 1859. Of Motion. An Elementary Treatise. By JOHN ROBERT LUNN, A. M., Fellow and Lady Sadlier's Lecturer of St. John's College. Cambridge: Deighton, Bell, & Co. London: Bell & Dalby. 1859... Address before the American Association for the Advancement of Science, August, 1859. By Professor ALEXIS CASWELL. Published for the Association by JOSEPH LovERING, Permanent Secretary. 1859. . . Annual Report of the Board of Regents of the Smithsonian Institution, showing its operations, expenditures, and condition for the year 1858. Washington: James B. Stedman, Printer. 1859. . . . . . The Surveyor's Companion, containing a Treatise on Mathematical Instruments, &c., &c. By WILLIAM SCHMOLZ, MathematicalInstrument Maker, San Francisco, California. 1859. A new set of Practical Tables, useful in Surveying and Engineering, &c.; together with an improved method of Tabling, which facilitates the computation of areas and the projection of Maps. By R. C. MATHEWSON, U. S. Deputy Surveyor. Published by WILLIAM SCHMOLZ, San Francisco. 1859. An Elementary Treatise on Hydrostatics, for the use of Junior University Students. By RICHARD POTTER, A. M., F. C. P. S., late Fellow of Queen's College, Cambridge, Licentiate of the Royal College of Physicians, London, Honorary Member of the Literary and Philosophical Society of St. Andrews; Professor of Natural Philosophy and Astronomy in University College, London. Cambridge: Deighton, Bell, & Co. London: Bell & Dalby. 1859.

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