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PREFACE.

The reason for the preparation of this work was the need of it felt by the compiler. He began in 1885 a History of Geodesy, but before proceeding far it was found very difficult at any time to be sure that the literature regarding the operations of a given period had been exhausted. It was at once deemed best to collect titles as well as the works themselves. The excellent library facili ties in the various technical departments in Washington emphasized the feasibility of such an undertaking. The number of titles collected for this purpose only, so far exceeded the special lists as given in the various bibliographies of mathematics that many persons suggested an extension of the original plan, so as to make the compilation useful to others. In response to this proposition the various libraries in Washington were carefully searched, and during two trips to Europe nearly every library facility there has been exhausted. In order to procure titles of such recent works of living authors as might escape notice, owing to delay in obtaining a place in the library catalogues, a circular letter was sent to every mathematician whose address could be obtained. Each circular had appended to it the titles of all of the known works of the recipient, with a request that omissions be supplied. This alone was the labor of several months, but was fully repaid in the gratifying assurances from many that nothing could be added, as well as in the few additional titles which tend towards making this work complete.

Special effort has been made to examine carefully catalogues of libraries, however small, bibliographies of the exact sciences, biographies of mathematicians, and trade lists of antiquarian books, in addition to such well-known sources as the "Royal Society Catalogue of Scientific Papers," Reuss, "Repertorium," etc.

A most opportune assistance was furnished by Col. John Herschel, R. E., who, through the courtesy of the Royal Society, and with the consent of the India Office, sent a manuscript supplement to his contribution to pendulum bibliography, which was published in "Operations of the Great Trigonometrical Survey of India," Vol. v. From this veritable treasure seventy-two new titles were found, each in the body of this work followed by (H). Most cordial thanks are due Colonel Herschel for his aid, as well as the confidence displayed in unreservedly placing such valuable material in the hands of another.

During the progress of the compiling, various overtures were made by institutions desiring to become the source from which the completed work should emanate, but it was deemed only proper that it should be published in the country which witnessed its inception and fostered its growth. Therefore it is with pardonable pride that the compiler sees the results of his labors issuing from an institution of his own country, which throughout the world is the recognized advance guard in geodetic science.

In this connection thanks should be tendered Mr. F. M. Thorn, Superintendent, and Mr. B. A. Colonna, Assistant in Charge of Office and Topography, of the U. S. Coast and Geodetic Survey, for their energetic interest in this undertaking.

The title "Bibliography" may appear as high sounding or inappropriate to a work in which all the refinements of bibliographic science are not observed. The entire collation is not always given, since a large proportion of the books have appeared in but one edition. The only well-defined purpose has been to give as much of the title as will enable one desiring the book to obtain it from any library possessing it, with the minimum effort to himself and the librarian. This object

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was also in view in preparing the abbreviations for the serial publications, which, it is hoped, may be amplified without looking for their equivalents in their alphabetical place.

It is a pleasure to acknowledge obligations to Mr. C. C. Darwin, librarian of the U. S. Geological Survey, for suggestions in preparing these abbreviations.

The scope of the work will easily make itself evident to the user. The intention was to include only such works as treated directly of the figure of the earth, or described operations which could be used in determining that figure. The only digression from this plan will be seen in the case of the pendulum, where the theoretical side is also included. This was done because of the belief that the pendulum will soon become a more important geodetic instrument, when it may be necessary to reconsider some of its theoretical features. A few treatises on surveying, bearing the word "geodesy" or its equivalent in the title, have been inserted with a remark indicating the character of the contents. As a rule, remarks are used simply to correct erroneous impressions which the title alone might make.

The plan adopted is to use only one alphabet, in which will be found authors, abbreviations, and subjects. Full names of the authors have been given as far as possible, but in any subsequent repetition only the initials of their Christian names are given. The title will be found repeated under the name of each co-writer or each person named in the title. A dash (—) in a title refers to the first name given, as the one who wrote the review, or about whom the article was written. This method gives, so far as entry is concerned, equal prominence to all persons named.

Under the authors, their works are arranged chronologically; in the case of serials, according to the date as given to the entire volume. This will be found advantageous when it is desired to find the full title from the abbreviated form as given under a subject. It is also believed that the insertion of an abbreviated title in the subject classification will be found helpful, as it will enable one to see at a glance if an author whose name appears under the desired subject has written upon the special theme sought for, without turning to the author catalogue.

After each book title, and after the full title of each serial publication, there appears in paren. theses the name of the owner of the work from which the title as given was taken. Of course it does not intimate that the work in question can be found only there. When a book was once found it was not again looked for. As a rule, those accredited to European libraries could not, at the time of trial, be found in any library in America.

It is impossible to mention here the names of all who have assisted in this work. But special thanks are due Mr. Nicholson, of the Bodleian, Oxford; Mr. Fortescue, of the British Museum; Professors Helmert and Foerster, of Berlin; Captain von Kalmár, of Vienna; Colonel Hennequin, of Brussels; the faithful assistants in the libraries of America and Europe who searched for dusty books so seldom called for that they became lost for the time, and to those who in the University Library at Cambridge and the Royal Library of Munich used their holiday hours in looking for books which they alone possessed.

COLUMBIAN UNIVERSITY, May, 1889.

J. HOWARD GORE.

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A. A. A. S. Proc., for Proceedings of the American Association for the Advancement of Science.

8°, Salem. (Washington, Geological Survey.) A. (G.). Sur les mesures récentes d'arcs du méridien effectuées dans la partie nord-est de l'Europe.

Bibl. Univ. Genève, xxIII, 1853, 275–278.
An account of Struve's Russian arc.

Abbadie (Antoine d'). Résumé géodésique des positions déterminées en Ethiopic.

4°, Leipzig, 1859, pp. viii, 28. (Washington, Coast Survey.)

Géodésie d'une partie de la haute Éthiopie, revue et rédigée par R[odolphe] Radau.

4°, Paris, 1860–263, pp. 456. (British Museum.) Originally published in three parts.

Sur les variations dans l'intensité de la gravité terrestre.

Acad. d. Sci. Paris, Comp. Rend., LII, 1861, 911–912. Description d'un instrument pour la pratique de la géodésie expéditive.

Acad. d. Sci. Paris, Comp. Rend., LVI, 1863, 1195– 1199.

Directions de la pesanteur.

Acad. d. Sci. Paris, Comp. Rend., LXI, 1865, 838.

Géodésie d'Éthiopie, ou triangulation d'une partie de la haute Éthiopie, exécutée selon des méthodes nouvelles par A. d'Abbadie, vérifiée et rédigée par R. Radau.

40, Paris, 1873, pp. xxxii, 502, 11 maps. (Gore.) Revd. by JORDAN (W.). Vierteljahrs. d. astr. Ges., X, 1875, 39-50.

Etudes sur la verticale.

Paris, Ass. Sci. de France, Bull., xııı, 1874, 162–164. ·: Perrier (F.). Sur la nouvelle triangulation de l'ile de Corse, présenté par

Acad. d. Sci. Paris, Comp. Rend., LXXVI, 1874, 1569-1572.

Note accompagnant la présentation des premiers résultats des observations sur les mouvements microscopiques des pendules librement suspendus, faites par de Rossi.

Acad. d. Sci. Paris, Comp. Rend., LXXX, 1875, 1236. : Gilbert (P.). Compte rendu de la géodésie d'Éthiopie par

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Revue des questions scientifiques, Brux., L, 1877, 318-319.

Abbadie (A. d')—continued. Sur les variations de la verticale. Acad. d. Sci. Paris, Comp. Rend., LXXXIX, 1879, 1016-1017.

The Observatory, 11, 1879, 52.

Abbe (Cleveland). A historical note on the method of least squares.

Am. Journ. of Sci., 1, 1871, 411–415.

Abbe (D. Ernst). Ueber die Gesetzmässigkeit in der Vertheilung der Fehler bei Beobachtungsreihen. 4°, Jena, 1863, pp. 20.

Abendroth (William). Darstellung und Kritik der ältesten Gradmessungen in Programm des Gymnasiums zum heiligen Kreuz in Dresden womit zu dem Valedictions-Actus am 26. März ergebenst einladend das Lehren-Collegium.

8°, Dresden, 1866, pp. 47. (Gore.)

Abraham Ben Chija (or Chaja). De forma terræ. De planetis et sphæris. De computo astrologicosphæra mundi, describens figuram terræ, dispositionumque orbium cœlestium et motus stellarum.* Sebastian Münstrer (editor), Basel, 1546. -Poggendorff, 1, Col. 5.

Acad. de Belgique, Bull., for Bulletin de l'Académie royale des sciences, des lettres et des beaux arts de Belgique.

80, Bruxelles, 1832+. (Washington, Congress.) Acad. de Belgique, Mém. couron., for Mémoires couronnés et mémoires des savants étrangers de l'Académie royale des sciences, des lettres et des beaux arts de Belgique.

8°, Bruxelles, 1858+. (Washington, Congress.) Acad. Cien. Madrid, Mem., for Memorias de la real Academia de ciencias exactas, físicas y naturales. 4°, Madrid, 1850-'64 (6 v.). (Washington, Congress.)

Acad. du Gard, aperçu d. trav., for Notice aperçu analytique des travaux les plus remarquables de l'Académie royale du Gard.

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Acad. Lugd. Bat., Ann., for Annales Academiæ Lugduno-Bataviæ.

4°, Leyden, 1815-37 (22 v.). (Washington, Congress.)

Acad. Moguntinæ, Acta, for Acta Academiæ electoralis Moguntinæ scientiarum utilium.

4°, Erfurt, 1751-95 (14 v.). (Washington, Congress.)

Acad. d. Sci. Berlin, Hist., for Histoire de l'Académie royale des sciences et des belles lettres, avec les mémoires tirés des registres de cette académie.

4o, Berlin, 1745-69 (25 v.). (Washington, Observatory.) Acad. d. Sci. Berlin, Mém., for Mémoires de l'Académie royale des sciences et des belles lettres, Berlin.

4°, Berlin, 1786-1807. (Washington, Observatory.) Acad. d. Sci. Caen, Mém., for Mémoires de l'Académie impériale des siences, arts et belles lettres.

4°, Caen, 1811+. (Washington, Congress.) Acad. d. Sci. Metz, Mém., for Mémoires de l'Académie royale nationale (impériale), des sciences.

8°, Metz, 1828. (Washington, Congress.) Acad. d. Sci. Paris, Comp. Rend., for Comptes rendus hebdomadaires des séances de l'Académie des sciences. 4°, Paris, 1835+. (Washington, Observatory.) Acad. d. Sci. Paris, Mém., for Histoire de l'Académie royale des sciences avec les mémoires de mathématique et de physique, tirés des registres de cette académie. 1699-1789. (Washington, Observatory.)

Acad. Sci. phil. Med. Hassiacæ, Acta, for Acta philosophico-medica societatis Academiæ scientiarum principalis (Hassiaca).

4°, Francofurti, 1771. (Washington, Congress.) Acad. d. Sci. Toulouse, Mém., for Mémoires de l'Académie royale (impériale) des sciences, inscriptions et belles-lettres.

80, Toulouse, 1782-'90, 1827-41, 1844. (Washington, Congress.)

Acad. de St.-Pétersbourg, Acta, for Nova acta Academiæ scientiarum imperialis Petropolitana.

4°, St. Pétersbourg, 1783–1802 (15 v.). (Washington, Observatory.)

Acad. de St.-Pétersbourg, Bull., for Bulletin scientifique de l'Académie impériale des sciences de St.-Pétersbourg.

4°, St.-Pétersbourg, 1836-'42. (Washington, Observatory.)

Acad. de St.-Pétersbourg, Com., for Commentarii Academiæ scientiarum imperialis Petropolitana.

4°, St.-Pétersbourg, 1726-1802. (Washington, Observatory.)

Acad. de St.-Pétersbourg, Bull. phys.-math, for Bulletin de la classe physico-mathématique de l'Académie impériale des sciences.

4°, St.-Pétersbourg, 1842+.

servatory.)

(Washington, Ob

Acad. de St.-Pétersbourg, Mél. phys. chim., for Mélanges physiques et chimiques tirés du Bulletin physico-mathématique de l'Académie impériale des sciences de St.-Pétersbourg.

8°, St.-Pétersbourg, 1849+. (Washington, Observatory.)

Acad. de St.-Pétersbourg, Mém. math. phys., for Mémoires de l'Académie impériale des sciences de St.Pétersbourg. Sciences mathématiques, physiques et naturelles.

4°, St.-Pétersbourg, 1830+. (Washington, Observatory.)

Acad. de St.-Pétersbourg, Mém. sav. étrang., for Mémoires présentés à l'Académie impériale des sciences de St.-Pétersbourg par divers savans.

4°, St.-Pétersbourg, 1830-'59 (9 v.). (Washington, Observatory.)

On the back, Mémoires des savants étrangers. Accad. Sci. Bologna, Com., for Commentarii scientiarum et artium institutum bononieuse atque academia. 40, Bologna, 1731, 1748-'91. (Washington, Congress.)

Accad. Sci. Bologna, Rendi., for Rendiconto delle sessioni della Accademia delle scienze dell'Istituto di Bologna.

120, Bologna, 1833, 1837-42, 1846+. (Washington, Congress.)

Accad. Lincei, Atti, for Atti della reale Accademia dei lincei.

40, Roma, 1870+. (Washington, Congress.) Accad. nuovi lincei, Atti, for Atti della Accademia pontificia de' nuovi lincei.

4°, Roma, 1847+. (Washington, Congress.) Accad. Sci. Napoli, Atti, for Atti della reale Accademia delle scienze e belle lettere.

40, Napoli, 1819-'51 (6 vols.).

Atti della Società reale; Accademia della scienze fisiche e matematiche.

Napoli, 1863+. (Washington, Congress.)

Accad. Sci. Torino, Atti, for Atti della reale Accademia delle scienze di Torino.

8°, Torino, 1866+. (Washington, Congress.) Accad. Sci. Torino, Mem., for Memorie della reale Accademia della scienze di Torino.

4°, Torino, 1815+. (Washington, Congress.) Achard. Bemerkungen über die von Bertier angestellten Versuche, aus welchen es folgert, dass das Gewicht der Körper zunimmt, je mehr man sie vom Mittelpunkt der Erde entfernt.

Ges. Naturf. Freunde, Beschäftigung, II, 1876, 1. Adams (John): Ulloa (Antonio de). A voyage to South America, translated by London, 1760, 1772, 1806, 1807.

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Title in full under ULLOA (A. DE). Adan (E.-H.-J.). Cours de géodésie.

4°, Bruxelles, 1864, pp. 131. (Brussels, Royal.)
Lithographed.

Essai sur les limites à poser à la mesure de pré-
cision des observations immédiates.
Acad. de Belgique, Bull., XXII, 1866, 480-502.
Rapport de M. LIAGRE sur la même, 454-455.

Loi générale de la probabilité des erreurs étendue
à tous les genres d'observations immédiates.
Acad. de Belgique, Bull., xxIII, 1867, 148–187.
Rapport sur les travaux exécutés en Belgique en
1875. (Geodetic.)

Int. Geod. Cong., Gen. Ber., 1875, 155–157.

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