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IX.

MATHEMATICS AND ASTRONOMY.

9s.

Alvord. The Tangencies of Circles and of Spheres, by Benjamin Alvord,
Major U. S. Army. 9 Plates. 4to, pp. 16. Washington, 1856. 3s. 6d.
American Ephemeris (the) and Nautical Almanac for the Years 1855 to
1859. Published by Authority of the Secretary of the Navy. imperial
Svo. Washington, 1853 to 1857. sewed. each,
Astronomical Journal (the). Edited by Benjamin Apthorp Gould, Jun.,
Ph. D., Fellow of the American Academy of Arts and Sciences, of the
American Philosophical Society at Philadelphia, &c. Published in Numbers,
at irregular intervals, generally varying from two to three weeks. 24
Numbers make a Volume in 4to. Subscription, per volume, £1 5s., including
American postage. Vol. IV. was completed in October, 1856. Vols. I. to
IV., Nos. 1 to 96.

Astronomical Observations made under the direction of M. T. Maury, Lieut. U.S.N., during the year 1848, at the U.S.N. Observatory, Washington. Published by Authority of the Secretary of the Navy. Vols. I. to IV. 4to. Washington, 1849 to 1856.

Bouvier. Familiar Astronomy; or, an Introduction to the Study of the Heavens; illustrated by Celestial Maps, and upwards of 200 finely executed Engravings to which is added, a Treatise on the Globes, and a Comprehensive Astronomical Dictionary; for the Use of Schools, Families, and Private Students, by Hannah M. Bouvier. 8vo, pp. 500. Philadelphia, 1856. cloth.

1 ts.

Bowditch. See La Place. Burritt. The Geography of the Heavens, and Class Book of Astronomy; accompanied by a Celestial Atlas, by Elijah H. Burritt, A.M.; with an Introduction by T. Dick, LL.D. 12mo, pp. 332. New York, 1849. 8s. Chauvenet.-Treatise on Plane and Spherical Trigonometry, by William Chauvenet, A.M. 3rd edition. With numerous Woodcuts. 8vo, pp. 256. Philadelphia, 1850. cloth. 8s. Chauvenet. New Method of Correcting Lunar Distances, and Improved Method of Finding the Error and Rate of a Chronometer by equal Altitudes, by William Chauvenet, A.M., Professor of Mathematics in the U.S. Naval Academy, &c. Svo, pp. 86. Philadelphia, 1850. 3s. 6d. Chauvenet.-The Great Circle Protractor, by Professor W. Chauvenet, of U.S. Naval Academy, Annapolis, Md. The Great Circle Protractor is based upon the stereographic projection of the Sphere, and by its use we discover by mere inspection not only the Latitudes and Longitudes of all the points on the globe, through which the Great Circle route passes, but also the course to steer, and distance to be sailed. It consists of two Chartsfixed and a revolving one, in a portfolio. Annapolis, 1855. sq. folio. £1 4s. Church. Elements of Analytical Geometry, by Albert E. Church, A.M. 8vo, pp. 298. New York, 1851.

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6s.

Coffin. Elements of Conic Sections, and Analytical Geometry, by Professor I. H. Coffin. 8vo. New York, 1855.

6s.

Comte. The Philosophy of Mathematics. Translated from the "Cours de Philosophic Positive" of Auguste Comte, by W. M. Gillespie. 8vo. New York, 1850. cloth.

7s.

Davies.-Elements of Algebra, on the Basis of M. Bourdon; embracing
Sturm's and Horner's Theorems, and Practical Examples, by Charles Davies,
LL.D. 8vo, pp. 400. New York.
3s 6d.

Davies.-A Key, containing the Statements and Solutions of Questions in Davies's Elementary Algebra; for the Use of Teachers only. crown 8vo, pp. 100. New York.

3s.

Davies. The Logic and Utility of Mathematics; with the best Method of Instruction, explained and illustrated, by Charles Davies, LL.D. 8vo. New York, 1850. cloth.

Ss.

18s.

Davies and Peck.-Mathematical Dictionary and Cyclopædia of Mathematical Science; comprising Definitions of all Terms employed in Mathematics; an Analysis of each Branch of the whole, as forming a single Science, by Charles Davies and William G. Peck. royal 8vo, pp. 592. New York, 1855. sheep. Day.-A Course of Mathematics; containing the Principles of Plane Trigonometry, Mensuration, Navigation, and Surveying; adapted to the Method of Instruction in the American Colleges, by Jeremiah Day, D.D., LL.D., President of Yale College. 8vo, pp. 384. New York (1831), 1851. sheep. Dodd. Elements of Geometry and Mensuration, by J. B. Dodd. 12mo, pp. 237. New York, 1855.

6s.

1s.

2s. 6d.

2s. 6d.

Downes. Occultations Visible in the United States during the year 1848; computed under the direction of the Smithsonian Institution, by John Downes. 4to, pp. 12 Washington, 1848. Downes.-Occultations Visible in the United States during the year 1849; computed under the direction and at the expense of the Smithsonian Institution, by John Downes. 4to, pp. 24. Washington, 1848. Downes.-Occultations Visible in the United States during the year 1850; computed by John Downes, at the expense of the Fund appropriated by Congress for a Nautical Almanac, and published by the Smithsonian Institution. 4to, pp. 26. Washington, 1849. Downes.-Occultations Visible in the United States during the year 1851; computed by John Downes, at the expense of the Fund appropriated by Congress for the establishment of a Nautical Almanac, and published by the Smithsonian Institution. 4to, pp. 26. Washington, 1850. 3s. 6d. Downes. Occultations Visible in the United States during the year 1852; computed by John Downes, at the expense of the Fund appropriated by Congress for the establishment of a Nautical Almanac, and published by the Smithsonian Institution. 4to, pp. 34. Washington, 1852. 1s. 6d. Downes. Occultations of Planets and Stars by the Moon, during the year 1853; computed by John Downes, at the expense of the Fund appropriated by Congress for the establishment of a Nautical Almanac, and published by the Smithsonian Institution. 4to, pp. 36. Washington, 1853. Force.-Record of Auroral Phenomena observed in the Higher Northern Latitudes; compiled by Peter Force. 4to, pp. 122. Washington, 1856. Appendix to the above Record of Auroral Phenomena observed in the Higher Northern Latitudes, compiled by Peter Force. 4to, pp. iv. and 120. Washington, D.C., 1856. sewed. Gilliss.-Astronomical Observations made at the Naval Observatory, Washington, under orders of the Honourable Secretary of the Navy, dated August 13th, 1838, by Lieutenant J. M. Gilliss, U.S.N. Printed by order of the Senate of the United States. 8vo, pp. xxvi. and 672. Washington, 1846. sewed.

5s.

5s.

5s.

14s.

Godman. Astronomical Investigations, by J. D. Godman. 8vo. Philadelphia, 1821.

2s.

Gould. On the History of the Discovery of the Planet Neptune, by B. A.
Gould, Jun. 8vo, pp. 56. Washington, 1850.
Gummere. An Elementary Treatise on Astronomy, by John Gummere. 8vo.
Philadelphia.

18s.

Hackley.-A Treatise on Algebra; containing the latest Improvements; adapted to the Use of Schools and Colleges, by Charles W. Hackley, S.T.D., Professor of Mathematics and Astronomy in Columbia College, NY. 8vo, pp. 520. New York, 1854. sheep.

9s.

Jackson.-Elements of Conic Sections, by Isaac W. Jackson. 8vo. Schenectady, New York, 1854.

5s.

La Place. The Mécanique Céleste of Peter Simon Marquis de La Place, Peer of France. Translated, with a Commentary, by Nathaniel Bowditch, LL.D., F.R.S. With a Memoir of the Translator, by his Son, Nathaniel I. Bowditch. 4 vols. imp. 4to, pp. 4052. Boston, 1829-1839. £12 12s.

Vol. III. contains a fine Portrait of P. S. La Place, and Vol. IV. contains a Portrait of the Translator, Nathaniel Bowditch, and one of Mary Bowditch, his wife; and also the Memoir, which occupies 168 pages.

Only 300 copies of this work were printed at the Author's expense, and a very few copies now remain for sale.

Lee.-A Collection of Tables and Formulæ useful in Surveying, Geodesy, and Practical Astronomy; including Elements for the Projection of Maps, by Captain T. J. Lee. 8vo, pp. 262. Washington, 1853. cloth. 16s. Loomis. Table of Logarithms of Numbers and of Sines and Tangents for every Ten Seconds of the Quadrant, &c., by Elias Loomis, A.M. 8vo. New York, 1852. 5s. 6d.

Loomis. Elements of Plain and Spherical Trigonometry; with their Applications to Mensuration, Surveying, and Navigation, by Elias Loomis, A.M. 8vo, pp. 344. New York, 1852. Loomis.-Elements of Geometry and Conic Sections, by Elias Loomis. 12mo.

6s.

5s. 6d.

Loomis.-Elements of Analytical Geometry, and of the Differential and Integral Calculus, by Elias Loomis, A.M. Svo, pp. 278. New York, 1852. 7s. Loomis. A Treatise on Algebra, by E. Loomis. 12mo. New York, 1855. 7s. Loomis. An Introduction to Practical Astronomy; with a Collection of Astronomical Tables, by Elias Loomis, LL.D., Professor of Mathematics and Natural Philosophy in the University of the City of New York, &c. Svo, pp. 498. New York, 1855. sheep.

8s.

Loomis.-The Recent Progress of Astronomy, especially in the United States, by E. Loomis, LL.D. 3rd edition, revised and enlarged. pp. 396. New York, 1856.

cloth.

7s. 6d.

9s.

Lyon. Tables, with the Method of the Application to Finding the Mean Heights of Cross Sections and Cubic Contents of Excavations and Embankments, by P. Lyon. 12mo. Philadelphia, 1853. Mathematical Miscellany (the), conducted by C. Gill, Professor of Mathematics in the Institute of Flushing, Long Island. Published at the Institute. Nos. 1 to 8 (March, 1836, to November, 1839), forming 2 vols. Svo Vol. I. pp. 414. Vol. II. pp. 142. New York, 1836-1839. sewed. Mitchel. Planetary and Stellar Worlds; a Popular Exposition of the great Discoveries and Theories of Modern Astronomy; in a Series of Ten Lectures, by O. M. Mitchel, A.M. 12mo. New York. cloth. 8s. Morris. Martin Behaim, the German Astronomer and Cosmographer of the Times of Columbus: being the Tenth Annual Discourse before the Maryland Historical Society, on January 25th, 1855, by John G. Morris, D.Ď. 8vo, pp. 48. Baltimore, 1855. sewed.

4s.

Norton. An Elementary Treatise on Astronomy; in 4 Parts; containing a Systematic and Comprehensive Exposition of the Theory, and the more important Practical Problems, with Solar, Lunar, and other Astronomical Tables; designed for Use as a Text-Book in Colleges and the Higher Academies, by Wm. A. Norton, A.M. 3rd edition, corrected, improved, and enlarged. 8vo. New York, 1839.

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12s.

Olmsted. Compendium of Astronomy for Students in Academies, by D. Olmsted. 12mo. New York. 4s. 6d. Olmsted. Letters on Astronomy, addressed to a Lady in which the Elements of the Science are familiarly explained, in connection with Literary History, by D. Olmsted, A. M. crown 8vo. New York. cloth. Olmsted. On the Recent Secular Period of the Aurora Borealis, by Denison

6s.

3s. 6d.

Olmsted, LL.D., Professor of Natural Philosophy and Astronomy in Yale College. 4to, pp. 52. Washington, 1856. Parke.-Lectures on the Philosophy of Arithmetic and the Adaptation of that Science to the Business Purposes of Life, by Uriah Parke. 5th edition, revised and improved by the Author. crown 8vo, pp. 396. Philadelphia. half-bound.

6s.

Peirce. Integral Calculus and Analytical Mechanics, by Benjamin Peirce. 12mo. Boston. sheep.

7s. 6d.

Peirce.-On Curves, Functions, and Motion, by Benjamin Peirce. 12mo. Boston, 1846. sheep. 7s. 6d. Peirce. Physical and Celestial Mechanics, by Benjamin Peirce, Perkins Professor of Astronomy and Mathematics in the Harvard University. Developed in Four Systems of Analytic Mechanics, Celestial Mechanics, Potential Physics, and Analytic Morphology. Vol. I. A System of Analytic Mechanics. 4to. Boston. In press.

Perkins.-Plane and Solid Geometry; to which is added, Plane and Spherical Trigonometry; with Tables, by George R. Perkins. 8vo. New York, 1855.

9s.

Robinson. Concise Mathematical Operations, by H. N. Robinson. 8vo. Cincinnati, 1854.

12s.

Runkle.-New Tables for Determining the Values of the Coefficients in the Perturbative Functions of Planetary Motion, which depend upon the Ratio of the Mean Distances, by John D. Runkle, Assistant in the Office of the American Ephemeris and Nautical Almanac. 4to, pp. 64. Washington,

1856.

Schooler. Elements of Descriptive Geometry, by S. Schooler. mond, Va., 1854.

3s. 6d.

4to. Rich

Secchi. Researches on Electrical Rheometry, by A. Secchi. 3 Plates.
60. Washington, 1852.
pp.

Smith. The Mutations of the Earth, by J. Aug. Smith, M.D. 8vo.
York, 1846.

12s.

4to,

4s.

New

Smith. New Elements of Geometry, by Seba Smith. 8vo, pp 200. New York, 1850.

cloth.

5s.

Stanley. An Elementary Treatise of Spherical Geometry and Trigonometry, by Anthony D. Stanley, A.M. With Engravings. 12mo, pp. 122. New Haven, 1818. 3s. Stanley.-Tables of Logarithms of Numbers, and of Logarithmic Sines, Tangents, and Secants, to Seven Places of Decimals; together with other Tables of frequent use in the study of Mathematics and in Practical Calculations, by Anthony D. Stanley, A.M. 8vo, pp. 340. New Haven, 1850.

12s.

bound. Tables of the Moon; constructed from Plana's Theory, with Airy's and Longstreth's Corrections, Hansen's two Inequalities of Long Period arising from the action of Venus, and Hansen's Values of the Secular Variations of the Mean Motion and of the Motion of the Perigee. Arranged in a Form designed by Professor Benjamin Peirce, Consulting Astronomer, for the Use of the Nautical Almanac. Under the Superintendence of Charles Henry Davis, Lieut. U.S. Navy; and published under the Authority of the Hon. John P. Kennedy, Secretary of the Navy. 4to, pp. 326. Washington, 1853. sewed. £1 1s.

Tables of the Moon's Parallax: constructed from Walker's and Adam's Formula; arranged as a Supplement to the 1st edition of Peirce's Tables of the Moon, under the superintendence of Charles Henry Davis, Lieut. U.S.N., and published under the authority of the Hon. James C. Dobbin, Secretary of the Navy. 4to, pp. 30. Washington, 1856. sewed. 5s. Townsend.-Mechanical Zodiac; designed to illustrate the Motion of the Earth, the Apparent Movement of the Sun among the Constellations of the Zodiac and other Heavenly Bodies, by Charles E. Townsend. 4to. New York.

6s.

ls.

Walker.-Ephemeris of Neptune for the Opposition of 1848, by Sears C. Walker, Esq. 4to, pp. 8. Washington, 1849. Walker.-Ephemeris of the Planet Neptune for the date of the Lalande Observations of May 8 and 10, 1795, and for the Oppositions of 1846, 1847, 1848, and 1849, by Sears C. Walker, Esq. 4to, pp. 32. Washington, 1849.

1s. 6d.

1s. 6d.

1s.

Planet Neptune for the year 1851, by Sears C.
Washington, 1850.

1s.

1s.

Walker.-Researches relative to the Planet Neptune, by Sears C. Walker, Esq 4to, pp. 60. Washington, 1850. Walker. Ephemeris of the Planet Neptune for the year 1850, by Sears C. Walker, Esq. 4to, pp. 10. Washington, 1850. Walker. Ephemeris of the Walker, Esq. 4to, pp. 10. Walker. Ephemeris of the Planet Neptune for the year 1852, by Sears C. Walker, Esq. 4to, pp. 10. Washington, 1853. Ward. New Lunar Tables, for Correcting the Apparent Distance of the Moon from the Sun, Fixed Star, or Planet, for the effects of Reflection, Refraction, and Parallax: illustrated by appropriate Rules and Examples; with Plan, and easy Directions for taking a Lunar Observation, and some useful Remarks on the Sextant, by E. C. Ward, Professor of Mathematics, &c., U.S.N.S., Brooklyn, N.Y. royal Svo. New York, 1855. boards. 9s. Wilcocks.-An Essay on the Tides; Theory of the Two Forces, by Alexander Wilcocks, M.D. 8vo. Philadelphia, 1855. 3s. 6d.

X.

PHILOSOPHY.

Alexander.-Outlines of Moral Science, by Archibald Alexander, D.D., late Professor in the Theological College at Princeton, N. J. 12mo. New York, 1852. cloth. 5s. 6d. Ancient Fragments. -Namely: The Morals of Confucius, the Chinese Philosopher; the Oracles of Zoroaster, the founder of the Persian Magi; Sanchoniatho's Theology of the Phoenicians; the Periplus of Hano, the Carthaginian Navigator and Discoverer; King Hiempsal's History of the African Settlements; the Choice Sayings of Publius Syrus; the Egyptian Fragments of Manetho; the Similitudes of Demophilus, or Directions for the Proper Regulation of Life; and the Excellent Sayings of the Seven Wise Men of Greece. Translated into English by various authors. 12mo, pp. 298. New York, 1835. 7s. 6d. Bancroft.-The Necessity, the Reality, and the Promise of the Progress of the Human Race. Oration delivered before the New York Historical Society, November 20, 1854, by George Bancroft, a Member of the Society. Svo, pp. 96. New York, 1854. sewed. Banvard.Wisdom, Wit, and Whims of Distinguished Ancient Philosophers, by Joseph Banvard, A.M. 12mo, pp. 408. New York, 1855. cloth. Bowen. Essays on Speculative Philosophy, by Francis Bowen. 12mo. Boston, 1842. cloth. 7s. 6d. Boyd.-Eclectic Moral Philosophy: prepared for Literary Institutions and General Uses, by Rev. J. R. Boyd, A.M. 12mo, pp. 440. New York, 1846.

cloth.

7s. 6d.

Brewster.-The Philosophy of Human Nature, by Francis E. Brewster. 12mo, pp. 472. Philadelphia, 1851. cloth.

5s. 6d.

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