MEYER (G.). Ueber periodische Dezimalbrüche. [Progr.] Bremen, 1896. 8vo. 28 pp.

NESTLER (O.). Ein Entwurf der geometrischen Elemente bis zu den
Parallelen. [Progr.] Meerane, 1896. 4to. 20 pp., 1 plate.

NICHOLS (E. H.). Elementary and constructional geometry.
York, Macmillan, 1896. 12mo. 6 and 138 pp.

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PARDINI (D. L.). Formulario di geometria, ad uso delle scuole secondarie. 2da edizione. Mantova, Mondovi, 1896. 8vo.

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SICKENBERGER (A.). Leitfaden der elementaren Mathematik. Planimetrie. 3te Auflage. München, Ackermann, 1896. and 123 pp.

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Teil 2:

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SPANGENBERG (E.). Arithmetic, algebra, plane and solid geometry explained to the practical tradesman. Vol. I. St. Louis, Laborer's Publishing Co., 1895. 32mo. 197 pp.

$0.75

THOMSON (W.). See BLAKIE (J.) and THOMSON (W.). VADE MECUM geometrico per gli studenti del ginnasio, della scuola reale, per gli allievi delle accademie di marina e delle scuole nautiche, ossia raccolta ordinata di formole di planimetria, stereometria, trigonometria piana e sferica, di geometria analitica d'uso frequentissimo nella risoluzione di problemi ed assai utile per la ripetizione della teoria in preparazione di maturità. Trento, Manauni, 1896. 16mo. 33 pp. Fr. 0.60.

VAGNIER (N.). See HUE (T.) et VAGNIER (N.).

III. APPLIED MATHEMATICS.

APPELL (P.). Traité de mécanique rationnelle. Vol. II: Dynamique des systèmes; mécanique analytique. (Cours de mécanique de la Faculté des sciences.) Paris, Gauthier-Villars, 1896. 8vo. 4 and 538 pp.

Fr. 16.00.

BOULVIN (J.). Cours de mécanique appliquée aux machines, professé à l'école spéciale du génie civil de Gand. 5 fascicule: machines à vapeur. Paris, Bernard, 1896. 8vo. 304 pp., 3 plates.

BRÖMEL (A.). Der Gleichgewichtszustand einer Flüssigkeit in einer vertikalen kapillaren konischen Röhre. [Progr.] Pirna, 1896. 4to. 22 pp., 1 plate.

BURFF (L. L.). A text-book of ordnance and gunnery, prepared for the use of U. S. Military Academy. New York, Wiley, 1896. 8vo. 4 and 677 pp. Cloth. $6.00 CLAPEYRON (E.). Ueber die bewegende Kraft der Wärme. Deutsch herausgegeben von R. Mewes. Neue Ausgabe. Berlin, Fischer, 1893. 8vo. 48 pp.

COHEN (E.).

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Studien zur chemischen Dynamik, nach J. H. van't Hoff's Etudes de dynamique chimique bearbeitet. Mit einem Vorwort von J. H. van't Hoff. Leipzig, Engelmann, 1896. 8vo. 8 and 6 and Mk. 6.00

282 and 8 pp.

CREMER (J.). Ein Beitrag zur elementaren Theorie des Potentialbegriffes in der Elektricitätslehre. Teil II: Elektrodynamik. [Progr.] Cleve, 1896. 4to. 22 pp.

DUHEM (P.). Sur l'électrodynamique des milieux diélectriques. Paris, Hermann, 1896. 8vo. 61 pp.

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FLEMING (J. A.). The alternate current transformer in theory and practice. Vol. I: The induction of electric currents. London, Electrician, 1896. 8vo.

620 pp.

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GÉRARD (S.). Géométrie descriptive, à l'usage des candidats aux baccalauréats de l'enseignement secondaire moderne (2me partie, 2me série). Chateauroux, Majesté, 1896. 18mo. 33 pp.

HECHT (B.). Beitrag zur theoretischen Erklärung der Interferenzerscheinungen, welche Platten aus Zwillingskrystallen im konvergenten polarisierten Lichte zeigen. [Progr.] Königsberg, 1896. 21 pp., 1 plate.

HERRMANN (G.). See WEISBACH (J.).

HERTZ (H.). Miscellaneous papers. With an introduction by P. Lenard. Authorized English translation by D. E. Jones and G. A. Schott. London and New York, Macmillan, 1896. 8vo. 26 and 340 pp. Cloth.

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HETTWER (O.). Zur Bewegung eines schweren Punktes auf einer krummen Linie von der Gleichung rm: =am cos m 0. [Progr]. Berlin, Gaertner, 1896. 4to. 32 pp. Mk. 1.00

HEYMANN (J.). Geometrisches Linearzeichnen. Als Vorbereitung auf das Projektionszeichnen an gewerblichen und technischen Schulen. Düsseldorf, Wolfram, 1896. 4to. 13 plates, 15 pp. text.

HOFF (J. H. VAN'T). See COHEN (E.).

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HUYGHENS (C.). Abhandlung über die Ursache der Schwere. herausgegeben von R. Mewes. Neue Ausgabe. Berlin, Fischer, 1893. 8vo. 10 and 47 pp.

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KLEIN (F.). Die Anforderungen der Ingenieure und die Ausbildung der mathematischen Lehramtskandidaten. Vortrag, gehalten im Hannoverschen mathematischen Verein, am 20. April, 1896. Leipzig, Teubner, 1896. 8vo. 8 pp.

LENARD (P.). See HERTZ (H.).

MALTBY (M. E.). Methode zur Bestimmung grosser elektrolytischer Widerstände. [Diss.] Göttingen, 1895. 8vo, 30 pp.

MEWES (R.). See CLAPEYRON (E.) and HUYGHENS (C.).

RECHNUNGSVORSCHRIFTEN für die trigonometrische Abteilung der Landesaufnahme. Formeln und Tafeln zur Berechnung der geographischen Koordinaten aus den Richtungen und Längen der Dreiecksseiten zweiter Ordnung. 3te Auflage. Berlin, Mittler, 1896. 8vo. 24 pp. Boards. Mk. 0.80

RIEM (J.). Ueber die Bahn des grossen Kometen 1881 III (Tebbut). [Diss.] Strassburg, 1895. 4to. 205 pp.

ROGER (E.). Recherches sur le système du monde. 2e édition, entièrement refondue. Paris, Gauthier-Villars, 1896. 4to.

SCHOTT (G. A.). See HERTZ (H.).

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SEIDEMANN (C.). Ein mechanisches Doppelproblem. Ein Muster zur Lösung aller Probleme, welche noch auf elliptische Funktionen führen. Für Studierende auf Universität und Polytechnikum bearbeitet. Halle, Kaemmerer, 1896. 8vo. 4 and 95 pp., 4 plates.

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STRECKER (K.). See THOMPSON (S. P.). THOMAS (W. C.). Cosmic ethics; or the mathematical theory of evolution, showing the full import of the doctrine of the moon, and containing the principia of the science of proportion. London, Smith, 1896. 8vo. 318 pp.

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THOMPSON (S. P.). Mehrphasige elektrische Ströme und Wechselstrommotoren. Uebersetzt von K. Strecker. Halle, Knapp, 1896. 8vo. 6 and 250 pp., 2 plates. Mk. 12.00.

TISSERAND (F.). Traité de mécanique céleste. (En 4 volumes.) Vol. IV: Théories des satellites de Jupiter et de Saturne; perturbations des petites planètes. Paris, Gautnier-Villars, 1896. 4to. 12 and 548 pp. Fr. 28.00. WEISBACH (J.). Lehrbuch der Ingenieur- und Maschinen-Mechanik. Teil 3: Die Mechanik der Zwischen- und Arbeitsmaschinen. 2te Auflage, bearbeitet von G. Herrmann. 3te Abteilung, 1ste Hälfte: Die Maschinen zur Formveränderung. Braunschweig, Vieweg, 1896. 8vo. 10 and 1222 pp. Mk. 33.00.

WINKELMANN (A.). Handbuch der Physik. 2ter Band, 2te Abteilung. Breslau, Trewendt, 1896. 8vo. 6 and 887 and 55 pp. Mk. 28.00. ZÜGE (H.). Zum Problem der Anziehung homogener Ringkörper. [Progr.] Wilhelmshaven, 1896. 4to. 16 pp.

ERRATUM.

On page 228, line 8, of this volume, the words, with contragredient variables into itself," should be replaced by "into itself, the further and nearer variables being transformed by linear substitutions transverse to each other."

FIFTH ANNUAL LIST OF PAPERS

READ BEFORE THE AMERICAN MATHEMATICAL SOCIETY AND SUBSEQUENTLY PUBLISHED, INCLUDING REFERENCES

TO THE PLACES OF THEIR PUBLICATION.

BAKER, A. L. Algebraic Symbols. Read Aug. 28, 1895. American Journal of Mathematics, vol. 18, No. 1, pp. 62-73; Jan., 1896. ECHOLS, W. H. On the Expansion of a Function without Use of Derivatives. Read Aug. 27, 1895. Annals of Mathematics, vol. 10, No. 1, pp. 17-21; Nov., 1895.

Read

On the Calculus of Functions Derived from Limiting-Ratios. May 25 and Aug. 27, 1895. Annals of Mathematics, vol. 10, Nos 2 and 3, pp. 50-76; Jan. and March, 1896.

HATHAWAY, ARTHUR S. Elementary Proof of the Quaternion Associative Principle. Read Aug. 28, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 2, pp. 43-45; Nov., 1895.

HENDERSON, R. Moral Values. Read Oct. 26, 1895. Bulletin of the American Mathematical Society, vol. 2, No 2, pp. 46–51; Nov., 1895. HILL, G. W. The Periodic Solution as a First Approximation in the Lunar Theory.. Read Aug. 27, 1895. Astronomical Journal, No. 352 (vol. 15, No. 17), pp. 137-143; Sept. 7, 1895.

On the Convergence of the Series used in the Subject of Perturbations. Read Nov. 30, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 4, pp. 93-97; Jan., 1896.

Bul

Remarks on the Progress of Celestial Mechanics since the Middle of the Century. [Presidential Address.] Read Dec. 27, 1895. letin of the American Mathematical Society, vol. 2, No. 5, pp. 125–136; Feb., 1896. Science, New Series, vol. 3, No. 62, pp. 333-341; March 6, 1896.

MCMAHON, JAMES. Notes on the Expression for a Velocity-Potential in terms of Functions of Laplace and Bessel. Read Dec. 27, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 6, pp. 173-177; March, 1896.

MARTIN, ARTEM AS. About Biquadrate Numbers whose Sum is a Biquadrate Number. Read May 25, 1895. Mathematical Magazine, vol. 2, No. 10, pp. 173-184; Jan., 1896.

About Cube Numbers whose Sum is a Cube Number (Second Part.) Read Aug. 15, 1895. Mathematical Magazine, vol. 2, No. 10, pp. 185-190; Jan., 1896.

MASCHKE, H. Asymptotic Lines on a Circular Ring. Read Aug. 28, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 1, pp. 19-21; Oct., 1895.

MOORE, ELIAKIM HASTINGS. Concerning Jordan's Linear Groups. Read Aug. 28, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 2, pp. 33-43; Nov., 1895.

A Two-Fold Generalization of Fermat's Theorem. Read Feb. 29, 1896. Bulletin of the American Mathematical Society, vol 2, No. 7, pp. 189-199; April, 1896.

MORLEY, F. On a Generalization of Weierstrass's Equation with Three Terms. Read Aug. 27, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 1, pp. 21-22; Oct., 1895.

Note on the Common Tangents of Two Similar Cycloidal Curves. Read Nov. 30, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 4, pp. 111-116; Jan., 1896.

NEWSON, H. B. On a Remarkable Covariant of a System of Quantics. Read March 28, 1896. Bulletin of the American Mathematical Society, vol. 2, No. 8, pp. 272-275; May, 1896.

ROBERTS, RALPH A. On the Differential Equations of Certain Systems of Conics. Read Aug. 28, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 1, pp. 11-19; Oct., 1895.

On the Locus of the Foci of Conics having Double Contact with Two Fixed Conics. Read Nov. 30, 1895. Bulletin of the American Mathematical Society, vol. 2, No. 4, pp. 98-110; Jan. 1896.

TABER, HENRY. On the Automorphic Linear Transformation of an
Alternate Bilinear form. Read Jan. 26, 1895. Mathematische
Annalen, vol. 46, No. 4, pp. 561-583; Nov., 1895.

On Certain Sub-Groups of the General Projective Group. Read
Jan. 25, 1896. Bulletin of the American Mathematical Society, vol. 2,
No. 7, pp. 221-230; April, 1896.

WHITE, HENRY S. Kronecker's Linear Relation among Minors of a
Symmetric Determinant. Read Jan. 25, 1896. Bulletin of the
American Mathematical Society, vol. 2, No. 5, pp. 136-138; Feb., 1896.