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Now throw away the operand NvcH, and we get the velocity equation pure and simple, and the index equation (3) then comes by S= Nv-.

But, altbough the above manipulation of the characteristic equation has some analytical interest, the process cannot be always recommended on the score of simplicity. It is, on the contrary, usually easier and simpler to work upon the component equations upon which the characteristic is founded.

Presents, January 18, 1894.
Baltimore :-Johns Hopkins University. Circulars. Vol. XIII.

No. 108. 4to. Baltimore 1893; Studies in Historical and
Political Science. Eleventh Series. Nos. 11–13. 8vo.
Baltimore 1893.

The University
Medical and Chirurgical Faculty of the State of Maryland.

Transactions of the Ninety-fifth Annual Session. 8vo.
Baltimore 1893.

The Faculty Berkeley :-University of California. [University Publications for the year 1892–93.] 8vo. 1892-93.

The University. Berlin :- Deutsche Chemische Gesellschaft, Berichte. 1893. Nos. 9–18. 8vo. Berlin.

The Society. Brussels :- Académie Royale de Médecine. Bulletin. Tome VIII. Nos. 5—9. 8vo. Bruxelles 1893.

The Academy. Académie Royale des Sciences. Bulletin. Tome XXVI. Nos.

ulletin 5—11. 8vo. Bruxelles 1893.

The Academy Bucharest :-Societatii de Sciinte Fizice. Buletinul. Anul II. Nos. 9–10. 8vo. Bucurescä 1893.

The Society. Buitenzorg :-'s Lands Plantentuin. Mededeelingen. Nos. 8–9. 8vo. Batavia 1891.

The Director. Cambridge :-Cambridge Philosophical Society. Proceedings.

Vol. VIII. Part 2. 8vo. Cambridge 1894. The Society. Cambridge, Mass.:-Museum of Comparative Zoology. Bulletin. Vol. XXV. Nos. 2—3. 8vo. Cambridge 1893.

The Museum. Copenhagen :- Kongelige Danske Videnskabernes Selskab. Skrifter.

Bd. VII. Nos. 8–9. 4to. Kjöbenhavn 1893 ; Oversigt. 1893. No. 2. 8vo. Köbenhavn.

The Society. Cracow :-Académie des Sciences. Bulletin International. Novembre, 1893. 8vo. Cracovie 1893.

The Academy Davenport :-Academy of Natural Sciences. Proceedings. Vol. V. Part 2. 8vo. Davenport, Iowa 1893.

The Academy. Dublin :-Royal Irish Academy. Transactions. Vol. XXX. Parts

Transactions (continued).

6, 9. 4to. Dublin 1893; Proceedings. Third Series. Vol. III. No. 1. 8vo. Dublin 1893.

The Academy. Dulwich :-Science Society, Dulwich College. Report, 1892-93. 8vo. Sydenham 1893.

The Society Edinburgh :-Geological Society. Transactions. Vol. V. Part 4. 8vo. Edinburgh 1888.

The Society. Royal Scottish Society of Arts. Transactions. Vol. XIII. Part 3. 8vo. Edinburgh 1893.

The Society Florence :-Biblioteca Nazionale Centrale. Bolletino. 1893. Num. 180–192. 8vo. Firenze.

The Library. Frankfort-on-the-Oder :-Naturwissenschaftlicher Verein. Helios.

Jahrg. XI. Nos. 6–9. 8vo. Frankfort a.0.1893; Societatum
Litteræ. Jahrg. VII. Nos. 8–12. 8vo. Frankfort a.O. 1893.

The Society. Geneva :-Société de Physique et d'Histoire Naturelle. Mémoires. Tome XXXI. Partie 2. 4to. Genève 1892-93.

The Society Glasgow :-Philosophical Society. Proceedings. Vol. XXIV. 8vo. Glasgow 1893.

The Society Irkutsk :--East-Siberian Section, Imperial Russian Geograpbical

Society. Izvestiya. Vol. XXIV. Nos. 3—4. [Russian.] 8vo.
Irkutsk 1893.

The Society. Jena :-Medicinisch-Naturwissenschaftliche Gesellschaft. Jena.

ische Zeitschrift für Naturwissenschaft. Bd. XXVIII. Heft 2. 8vo. Jena 1893.

The Society. Kew :-Royal Gardens, Bulletin of Miscellaneous Information. 1893. Nos. 82—83. 1894. Appendix I. 8vo. London 1893–94.

The Director. Leipsic:-Königl. Sächs. Gesellschaft der Wissenschaften. Abhand

lungen (Math.-Phys. Classe). Bd. XX. Nos. 3-4. 8vo. Leipzig 1893.

The Society. Liége:-Société Géologique de Belgique. Annales. Tome XX. Livr. 2. 8vo. Liége 1892–93.

The Society. London :-British Astronomical Association. Journal. Vol. IV. No. 1. 8vo. London 1893.

The Association. Chemical Society. Journal. July—December. 8vo. London ; Proceedings. Nos. 127—130. 8vo. London 1893.

The Society. East India Association. Journal. Vol. XXVI. No. 1. 8vo. London 1893.

The Association. Entomological Society. Transactions. 1893. Part 4. 8vo. London 1893.

The Society. Geological Society. Abstracts of the Proceedings. Nos. 611615. 8vo. (London 1893.}

The Society.

Transactions (continued).
Imperial Institute. Annual Report, 1893. 8vo. London 1893.

The Institute.
Institution of Civil Engineers. Abstracts of the Proceedings.
Session 1893-94. Nos. 1-5. 8vo. [London.]

The Institution. Institution of Electrical Engineers. Journal. Vol. XXII. No. 107. 8vo. London 1893.

The Institution. Institution of Mechanical Engineers. Proceedings. 1893. No. 3. 8vo. London.

The Institution. Mineralogical Society. The Mineralogical Magazine. Vol. X No. 47. 8vo. London 1893.

The Society. Odontological Society. Transactions. Vol. XXVI. Nos. 1—2. 8vo. London 1893.

The Society. Pathological Society. Transactions. Vol. XLIV. 8vo. London 1893.

The Society Pharmaceutical Society of Great Britain. Pharmaceatical Journal and Transactions. July-December, 1893. 8vo. London.

The Society. Photographic Society. Journal and Transactions. Vol. XVIII. No. 4. 8vo. London 1893.

The Society. Royal Agricultural Society. Journal. Third Series. Vol. IV Part 4. 8vo. London 1893.

The Society. Royal Astronomical Society. Monthly Notices. Vol. LIII. Nos. 6–9. Vol. LIV. No. 1. 8vo, London 1893.

The Society Royal Geographical Society. The Geographical Journal. July - December, 1893. 8vo. London.

The Society Royal Institute of British Architects. Journal of Proceedings. July-December, 1893. 4to. London.

The Institute. Royal Institution of Great Britain. Reports of the Weekly Evening Meetings. January-June, 1893. 8vo. London.

The Institution. Royal Microscopical Society. Journal. 1893. Part 6. 8vo. London 1893.

The Society. Royal Statistical Society. Journal. Vol. LVI. Part 4. 8vo. London 1893.

The Society. Royal United Service Institution. Journal. Vol. XXXVII. No. 190. 8vo. London 1893.

The Institution. Society of Arts. Journal. July—December, 1893. 8vo. London.

The Society. Society of Chemical Industry. Journal. Vol. XII. Nos. 6–11. 8vo. London 1893.

The Society. Victoria Institute. Journal. Vol. XXVII. Part 1. London 1893.

The Institute.

Transactions (continued).
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Memorias y Revista. Tomo VII. Nos. 3—4. 8vo. México 1893.

The Society. Moscow :-Société Impériale des Naturalistes. Bulletin. Année 1893. Nos. 2—3. 8vo. Moscou 1893.

The Society New York:- Academy of Sciences. Annals. Vol. VIII. Nos. 1–3.

8vo. New York 1893; Transactions. Vol. XII. 8vo. New York (1893].

The Academy. American Museum of Natural History. Bulletin. Vol. V. Pp. 305—336. 8vo. (New York] 1893.

The Museum. Paris :-Académie des Sciences. Comptes Rendus. Juillet

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The Academy Ecole Normale Supérieure. Annales. Tome X. No. 12. 4to. Paris 1893.

The School. Société de Biologie. Comptes Rendus. Juillet-Décembre, 1893. Svo. Paris.

The Society. Société de Géographie. Comptes Rendus des Séances. 1893. Nos. 12–18. 8vo. Paris.

The Society.
Société d'Encouragement pour l'Industrie Nationale. Bulletin.

Mai-Juillet, 1893. 4to. Paris ; Compte-Rendu des Séances.
Juin-Décembre, 1893. 8vo. Paris.

The Society.
Société Française de Physique. Séances. Avril-Juillet, 1893.

8vo. Paris 1893; Bulletin Bimensuel. 1892–93. Nos. 26– 28, 30–33. 8vo. Paris.

The Society. Société Géologique de France. Compte-Rendu des Séances. 1893. Nos. 13-18. 8vo. [Paris.]

The Society. Société Mathématique. Bulletin. Tome XXI. Nos. 7–8. 8vo. Paris.

The Society. Société Philomathique. Compte-Rendu des Séances. 1892–93. Nos. 17–18, 20. 1893–94. Nos. 145. .8vo. Paris.

The Society. Philadelphia :-Academy of Natural Sciences. Proceedings. 1893. Parts 1–2, and Pp. 217–312, 345–376. 8vo. Philadelphia.

The Academy. Franklin Institute. Journal. · July-December, 1893. 8vo. Philadelphia.

The Institute.

Transactions (continued).
Pisa :-Società Toscana di Scienze Naturali. Processi Verbali.
Vol. VIII. Pp. 233—241. 8vo. Pisa.

The Society. Rome :-Reale Accademia dei Lincei. Rendiconti. Serie 5. Vol. II.

Semestre 1. Fasc. 10–12. Semestre 2. Fasc. 1-11. 8vo.
Roma 1893.

The Academy. San Francisco:-Californian Academy of Sciences. Proceedings.

Second Series. Vol. III. Part 2. 8vo. San Francisco 1893 ;
Occasional Papers. No. 4. 8vo. San Francisco 1893.

The Academy. Santiago :-Sociedad Nacional de Mineria. Boletin. Año. X.

Nos. 59—60. 4to. Santiago de Chile 1893. The Society. Société Scientifique de Chili. Actes. Tome III. Livr. 1–2. 8vo. Santiago 1893.

The Society. Stavanger :-Museum. Aarsberetning 1892. 8vo. Stavanger 1893.

The Museum. Stockholm :-Kongl. Svenska Vetenskaps Akademie. Bihang till

Handlingar. Band 18. 8vo. Stockholm 1893; Ofversigt.
Årg. 50. No. 8. 8vo. Stockholm 1893.

The Academy Sydney :-Linnean Society of New South Wales. Proceedings.

Vol. VIII. Part 1. 8vo. Sydney 1893; Abstract of Proceedings. May-November, 1893. 8vo. Sydney; The Macleay Memorial Volume. Edited by J. J. Fletcher. 4to. Sydney 1893.

The Society. Tokyo:-Imperial University of Japan. Calendar. 1892–93. 8vo.

Tōkyō 1893; Mittheilungen aus der Medicinischen Facultät.
Bd. II. No. 1. 4to. Tokio 1893.

The University. Toronto :-University. Calendar, 1893-94. 8vo. Toronto 1893.


The University. Turin :-Reale Accademia delle Scienze. Memorie. Tome XLIII. 4to. Torino 1893.

The Academy. Vienna :-Kais. Akademie der Wissenschaften. Sitzungsberichte.

Bd. CII. Abth. 2b. Heft 8. 8vo. Wien 1893; Anzeiger.

Jahrg. 1893. Nos. 23—27. 8vo. Wien 1893. The Academy, Washington :-Smithsonian Institution. Miscellaneous Collections. Vol. XXXIV. 8vo. Washington 1893.

The Institution. Surgeon-General's Office. Index-Catalogue of the Library.

Vol. XIV. 4to. Washington 1893. The Surgeon-General.

Observations and Reports. Bombay :-Meteorological Office. Brief Sketch of the Meteorology of the Bombay Presidency in 1892-93. 4to. Bombay.

The Office.

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