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For each of these sections there are four tables, in which are given the relative positions and distances of the primary and secondary points, the latitudes and longitudes of the same stations, and their bearings and distances from an assumed principal point of the triangulation. The explanations necessary to make these tables available to the most unpractised are supplied, together with examples of their use. The “ three-point problem," which may be so advantageously employed in connection with these tables to determine the position of the observer when three sections forming a triangle are in sight, is also explained and applied. The primary and secondary lines are so numerous, and may be multiplied to such an extent by means of the third and fourth tables of each section, that a surveyor may now almost always find a known azimuth for determining the variation of the needle, and the local attraction, if any exists. The method of doing this is fully displayed.

In the introduction to this compilation, we find a formula for computing the bearings and distances where the latitudes and longitudes only are expressed, another for computing the latitudes and longitudes of points not heretofore calculated, and a general formula for computing latitudes and longitudes on the surfacesphere. As a necessary accompaniment to the second formula, tables are added containing the values, in feet and hundredths, for every change of minute in latitude, both on the meridian and on the parallels between 43° 1' and 410 12'. The values of the constants in the last formula are also given, by which any person is enabled to use it easily. Mr. Borden's determination of the figure and magnitude of the earth from the data afforded by the Massachusetts survey, and the comparison of these elements with those which M. Bessel deduced from the mean of ten trigonometrical surveys measured in different parts of the world, give additional scientific interest and value to this part of the work.

We were aware of the labor and judgment necessary to ac, complish this work under the most favorable circumstances; and many unforeseen difficulties have increased both the care and responsibility of the editor. They have been overcome with so much success, that we believe, after careful examination, that no error of any importance is to be found in it, except the omission by the engraver of an important line from the south end of the base to Mount Lincoln.

Dr. Palfrey, however, in his “ Advertisement,” has repeated a statement once made in our own pages, and since found to be entirely incorrect. In the paper on the Massachusetts survey already referred to, we said that the base apparatus used by Mr. Borden had been adopted in the United States coast survey. The assertion in both instances was made upon the same authority; and it was an authority quite sufficient, if we consider only the position of our informant, and his right or duty to be acquainted with the subject. Therefore, though we were misled, it was not in consequence of any carelessness or indifference. We improve the first occasion to correct the error, and to say, that, when Dr. Bache, the superintendent of the coast survey, publishes a description of the base apparatus designed and used by himself, it will be found to differ in many essential respects from the one invented by Mr. Borden. In saying this, we do not, of course, intend to compare the merits of the two plans.

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Documents and Letters intended to illustrate the Revolutionary Incidents of Queen's County ; with connecting Narratives, explanatory Notes, and Additions. By Henry Onderdonk, Jr. New York: Leavitt, Trow, & Co. 1846. 12mo. pp. 264.

Memoirs of his own Time, with Reminiscences of the Men and Events of the Revolution. By Alexander Graydon. Edited by John S. Littell. Philadelphia: Lindsay & Blakiston. 1846. 8vo. pp. 504.

The Life of Martin Luther, gathered from his owu Writings. By M. Michelet, Author of the History of France. Translated by G. H. Smith, F.G.S. New York : D. Appleton & Co. 1846. 12mo. pp. 314.

Mernoirs of the Administrations of Washington and John Adams, edited from the Papers of Oliver Wolcott, Secretary of the Treasury. By George Gibbs. New York: Printed for the Subscribers. 1846. 2 vols. 8vo.

The Writings of Hugh Swinton Legaré, late Attorney-General and Acting Secretary of State of the United States. Prefaced by a Memoir of his Life. Edited by his Sister. Charleston, S. C.: Burges & James. 1846. 2 vols. 8vo.

History of the Later Roman Commonwealth, from the End of the Second Punic War to the Death of Julius Cesar; and of the Reign of Augustus; with a Life of Trajan. By Thomas Arnold, D. D. New York: D. Appleton & Co. 1846. 8vo. pp. 552.

Elements of Mental Philosophy; containing a Critical Exposition of the Principal Phenomena and Powers of the Human Mind. By Leicester A. Sawyer, A. M., President of Central College, Ohio. New York: Paine & Burgess. 1846. 12.no. pp. 432.

Collections of the New Jersey Historical Society. Vol. I. East Jersey under the Proprietary Governments; drawn principally from Original Sources. By William A. Whitehead. With an Appendix containing “The Model of the Government of East New Jersey in America,” by George Scot, of Pitlochie. Published by the N. J. Historical Society. 1846. 8vo. pp. 341.

A Treatise on the Motive Powers which produce the Circulation of the Blood. By Emma Willard. New York: Wiley and Putnam. 1846. 12mo.

Montezuma, the Last of the Aztecs, a Romance. By Edward Maturin. New York: Paine & Burgess. 1845. 2 vols. 12mo.

The Life of Julius Cesar. New York: Leavitt, Trow, & Co. 1845. 16mo. pp. 161.

pp. 170.

Arithmetic, in two Parts: Part I. Advanced Lessons in Mental Arithmetic; Part II. Rules and Examples for Practice in Written Arithmetic. By Frederick A. Adams, Principal of Dummer Academy. Lowell: Daniel Bixby. 1846. 12mo. pp. 212.

The Days of Old; a Centennial Discourse delivered in Trinity Church, Newark, N. J., February 22, 1846. By Matthew H. Henderson, M. A., Rector. New York: Leavitt, Trow, & Co. 8vo. pp. 64.

A Discourse on the Cambridge Church-Gathering in 1636; delivered in the First Church, February 22, 1846. With an Appendix, containing a Genealogical List of the Original Members of the Church at Cambridge. By William Newell. Boston: James Munroe & Co. 1846. 8vo. pp. 65.

Boston, a Poem. Boston: Crosby & Nichols. 1846. 16mo. pp. 46.

Addresses at the Inauguration of the Hon. Edward Everett, LL. D., as President of the University at Cambridge, Thursday, April 30th, 1846. Boston: Little & Brown. 8vo. pp. 66.

The Memory of the late James Grahame, the Historian of the United States, vindicated from the Charges of " Detraction and Calumny” preferred against him by Mr. George Bancroft, and the Conduct of Mr. Bancroft towards that Historian stated and exposed. By Josiah Quincy. Boston: Crosby & Nichols. 1846. 8vo. pp. 59.

The Phonographic Reader; and the Complete Phonographic Class Book, containing a strictly Inductive Exposition of Pitman's Phonography. By S. P. Andrews and Augustus F. Boyle. Boston: Phonographic Institution, 339 Washington Street. 1846. 12mo. pp. 60 and 132.

Histoire de la Louisiane. Par Charles Gayarré. Premier Volume. Nouvelle Orléans: Imprimé par Magne & Weisse. 1846. 8vo. pp. 377.

The Life and Times of Henry Clay. By Calviu Colton, author of the Junius Tracts, &c. New York: A. S. Barnes & Co. 1846. vols. 8vo.

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No XVI. Scenes and Thoughts in Europe. By an American. New York: Wiley and Putnam. 1846. 12.no. pp. 160.

Wiley and Putnam's Library of Choice Reading, Foreign Series. Thiodolf the Icelander, and Aslaugas Knight. New York. 1846. 12mo. pp. 349.

Appleton's Literary Miscellany. The People. By M. Michelet. Translated by G. H. Smith, F. G. S. New York: D. Appleton & Co. 1846. 12mo. pp. 185.

Memoir on the Probable Constitution of Matter and Laws of Motion, as deducible from and explanatory of the Physical Phenomena of Nature. By J. L. Riddell, M. D., Professor of Chemistry in the Medical College of Louisiana. New Orleans. 1846. 8vo. pp. 32.

An Inquiry into the Views, Principles, Services, and Influences of our leading Men in the Origination of our Union. By Thaddeus Allen. Vol. I. No. 2. Boston. 1846. 8vo. pp. 100.

A Retrospect, and other Poems. Boston: James Munroe & Co. 1846. 12mo. pp. 142.

The Scholiast Schooled. An Examination of the Review of the Reports of the Annual Visiting Committees of the Public Schools of the City of Boston, for 1845. Cambridge : Metcalf & Co. 1846. 8vo. pp. 65.

Sketches of a Few Distinguished Men of Newbury and Newburyport. By S. Swett. No. I. Captain Moses Brown, U. S. N. Boston: Printed by S. N. Dickinson & Co. 1846. 12mo. pp. 23.

Twenty-Seventh Annual Report and Documents of the New York Institution for the Instruction of the Deaf and Dumb, for the Year 1845. New York. 1846. 8vo. pp. 107.

A Grammar of the English Language for the Use of Schools. By W. H. Wells, M. A. Audover: Allen, Morrill, & Wardwell. 1846. 12mo. pp. 204.

The Knights of the Horseshoe, a Traditionary Tale of the Cocked Hat Gentry in the Old Dominion. Wetumpka, Ala.: C. Yancey. 1845. 8vo. pp. 248.

Poverty, its Legal Causes and Legal Cure. Part I. By Lysander Spooner. Boston: Bela Marsh. 1846. 8vo. pp. 108.

Journal of Charles Carroll of Carrollton, during his Visit to Canada in 1776, as one of the Commissioners from Congress. With a Memoir and Notes. By Brantz Mayer. Baltimore: Published by the Maryland Historical Society. 1845. 8vo. pp. 84.

Criticism on the Declaration of Independence as a Literary Document. By Mon Droit. New York. 1846. 8vo. pp. 44.

A Plea for Peace: a Discourse delivered on Fast Day, April 2, 1846. By Daniel Sharp. Boston: W. D. Ticknor & Co. * 1846. 8vo. pp. 24.

Memoir of Benjamin Banneker, read before the Maryland Historical Society, May 1, 1845. By John H. B. Latrobe, Esq. Baltimore: Published by the Society. 1845. 8vo. pp. 16.

Review of the Hon. John P. Kennedy's Discourse on the Life and Character of George Calvert, the first Lord Baltimore. Baltimore: Printed by John Murphy. 1846. 8vo. pp. 32.

Recollections of Mexico. By Waddy Thompson, Esq., former Envoy Extraordinary and Minister Plenipotentiary to Mexico. New York: Wiley & Putnam. 1846. 8vo.

Harold and Rosaline, with other Poems. By Albert Perry. Boston: Published by the Author. _1846. 16mo. pp. 216.

The Olneys, or Impulse and Principle. By Anne W. Abbot, Author of Willie Rogers, &c. Boston: James Munroe & Co. 1846.

Lyra Innocentium: Thoughts in Verse on Christian Children, their Ways, and their Privileges. New York: Wiley & Putnam. 1846. 16mo. pp. 360.

Mosses froin an Old Manse. By Nathaniel Hawthorne. New York: Wiley & Putnam. 1846. 2 vols. 12100.

Pictures from Italy. By Charles Dickens. New York: Wiley & Putnam. 1846. 12mo. pp. 184. Poems. By Thomas Hood. New York: Wiley & Putnam. 1846.

A Discourse delivered in Boston, June 1, 1846, before the Ancient and Honorable Artillery Company. By Rev. George E. Ellis. Boston: Eastburn's Press. 8vo. pp. 31.

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