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minute, was the time occupied by the sun's rising, measured at the Equinox, and could thus be recovered at any time. It was measured by the mass of water which flowed out of a certain vessel from the instant at which the upper edge of the sun appeared above the horizon to the moment at which his lower edge was exactly touching the horizon. The day consisted of 720 of these units. The unit of length was the ell, which was used in two forms, either as a single- or double-ell; subdivisions used were the foot - double-ell, the hand-width, and the finger-length. The unit of weight was the mine, also occurring as single-mine or double-mine. The derivation of units of weight from units of length, as in the modern case of grams and centimetres, was also known, but of course the water used was not distilled and was not weighed at 4° C. The speaker had, however, succeeded in discovering a measuring-scale on an ancient monument dating from the year 2500 B.C., which had enabled him to compare the Babylonian measures with those of our own time. It appeared from this that a hand-breadth = 99'4-99 6 mm. ; a double-ell 994-996 mm. ; and the foot = 331-332 mm. He had further discovered several stamped weights, and thus found that the double-mine = 982 4-9858 grams. The single-mine weighed half as much as the double-mine, but the gold-mine and silver-mine were equal to five-sixths of a single-mine. The royalmine was I per cent. heavier than the gold-mine, and was employed for the payment of tribute. The coinage was based upon the mine and its sexagesimal division. Dr. Lehmann remarked how surprising it is to find that the length of a seconds-pendulum at Babylon is 992'5 mm., and was inclined to advance the hypothesis that the Babylonian unit of length was derived from a seconds-pendulum, the foot being one-third the lengh of the pendulum. He next proceeded to give an account of the spread of the Babylonian mine, and of the Phoenician which was derived from it, as a unit of weight among the civilized nations of Europe. The discovery of an old Roman balance had enabled him to determine that the old Etrurian pound was equal in weight to the Babylonian mine. The Babylonian unit of weight is found not only in Italy and the Mediterranean generally, but also the old Dutch and French pounds and the Russian pood are equal in weight to the mine. The speaker considered it to be quite impossible that in all the above cases we are dealing with a chance correspondence between the several weights. In the discussion which ensued, objections were raised on several sides against the hypothesis that the ancient Babylonians had knowledge of the secondspendulum, which had subsequently been lost. On the other hand, it was pointed out by others that the ancients were not improbably acquainted with the plummet, and used it for squaring stones, &c.; and since, further, they employed the double-minute as unit of time, it is not impossible that they were acquainted with the seconds pendulum. The cause of their not having employed this instrument to supply a time-unit may perhaps be found in their ignorance of any means by which the pendulum could be kept in continuous and uniform motion. In conclusion, the speaker laid stress on the high state of culture which the Babylonians had attained three thousand years B.C., and expressed his regret that a complete blank exists with regard to everything of an earlier date than the cuneiform inscriptions.

STOCKHOLM.

Royal Academy of Sciences, November 13-On the vegetation of the southmost part of the Isle of Gotland, by Prof. Wittrock.-Myxochete, a new genus of fresh-water Algae, by Herr K. Bohlin. -On determinations of the longitude and observations on the pendulum executed in Sweden during the year 1889, by Prof. Rosén.-On a reform in the analysis of gaseous bodies, by Prof. O. Pettersson.-On the invariants of linear, homogeneous differential equations, by Prof. MittagLeffler.-The form of the observations on linear differential equations, by Herr A. M. Johanson.-On the case of Poincaré as to the three bodies problem and some analogous dynamical propositions, by Herr E. Phragmén.-On the observations made at the Observatory of Upsala for the determination of the equinoctium in the spring of 1889, by Dr. K. Bohlin and Herr C. A. Schultz-Steinheil.-Definitive orbit elements of the comet 1840 iv., by Herr Schultz-Steinheil.-Study of the infra-red spectra of carbonic acid and of carbonic oxide, by Dr. K. Ångström. On the action of nitric acid on naphthalin-a-sulphon acid, by Prof. P. J. Cleve.-On naphthalin-1-5, calogenesulphon-acids, by Herr R. Manselius.

DIARY OF SOCIETIES.

LONDON.

THURSDAY, DECEMBER 19.

ROYAL SOCIETY, at 4.30-(1) Comparison of the Spectra of Nebule an
Stars of Groups I. and II., with those of Comers and Aurora.
Presence of Bright Carbon Flutings in the Spectra of Celestial Bajes
Prof. J. N. Lockyer, F.R.S.-Some Observations on the Amoun
Luminous and Non-luminous Radiation emitted by a Ga-flame:
Conroy, Bart.-On the Effects of Pressure on the Magnetization
Cobalt C. Chree.-On the Steam Calorimeter : J. Joly-On the La
sion and Flexure of Cylindrical and Spherical Thin Elastic Sheil ; A
Basset, F.R.S.
LINNEAN SOCIETY, at 8.-Intensive Segregation and Divergent Evel.
in Land Mollusca of Oahu: Rev. John T. Gulick.-Dictapteris
Remarks on the Systematic Position of the Dictyotacea: T. John or
CHEMICAL SOCIETY, at 8.-On Frangulin: Prof. Thurpe. F.R.S., an #
H. Robinson.-Arabinon, the Saccharon of Arabinose: C. O'Sul. -
F.R.S.-Note on the Identity of Cerebrose and Galactose: H. T B **
F.R.S., and Dr. G. H. Morris.

SUNDAY, DECEMBER 22,
SINDAY LECTURE SOCIETY, at 4-Algeria and Morocco: some Art
Experiences (with Oxyhydrogen Lantern Illustrations): Henry Ba
burn.

SATURDAY, December 28. ROYAL INSTITUTION, at 3-Electricity (adapted to a Juvenile Audion. Prof. A. W. Rücker, F.RS.

BOOKS, PAMPHLETS, and SERIALS RECEIVED. East Africa and its Big Game: Sir J. C. Willoughby (Longmans). Measurement of Small Mammals, &c. : Dr. C. H. Merriam (WashingtankNorth American Fauna, Nos. 1 and 2: Dr. C. H. Merriam (Washing Report of the Ornithologist and Mammalogist for 1288; Dr. C. H. Mertin (Washington).-Physical Memoirs, vel. i., Part 2 (Taylor and FranostJournal of the Royal Agricultural Society, October (Murray).—Mitteilun des Vereins für Erdkunde zu Halle A/s, 1884 (Halle).-Proceeding the Academy of Natural Sciences of Philadelphia, Part 2, x889 (Ptdelphia).-Notes from the Leyden Museum, vol. xi., No. 3 (Leyden, Bl) –

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Who Discovered the Teeth in Ornithorhynchus -
Dr. C. Hart Merriam; Prof. W. H. Flower,
F.R.S.

The Pigment of the Touraco and Tree Porcupine.
Frank E. Beddard

Exact Thermometry.—Dr. Sydney Young
Locusts in the Red Sea.-G. T. Carruthers
A Marine Millipede.-Edward Parfitt

Proof of the Parallelogram of Forces. (With Dia-
grams.)-W. E. Johnson .
Glories.-A. P. Coleman

Fossil Rhizocarps.-Alfred W. Bennett
The Arc Light.-Joseph McGrath
The Hyderabad Chloroform Commission
On the Cavendish Experiment. (Illustrated.)
V. Boys, F. R. S.
William Ramsay McNab
Notes

Our Astronomical Column:

Objects for the Spectroscope.-A. Fowler
Period of U Corona.

PAGI

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By C.

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Identity of Brooks's Comet (1889) with Lexell's

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The St. Petersburg Problem. By Sydney Lupton. 105 University and Educational Intelligence.

Books, Pamphlets, and Serials Received

100

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Crown Ivo, Cloth, Price 35. 6d. per Vol.; Half Morocco, 6s. 6d.

THE CONTEMPORARY SCIENCE SERIES.

EDITED BY HAVELOCK ELLIS.

buet of the vols will be illustrated, containing between 300 and 400 pp. I first vol was issued on October 25, 1889. Others to follow at short intervals.

THE CONTEMPORARY SCIENCE SERIES will bring within al reach of the English-speaking public the best that is known and ght m all departments of modern scientific research. The influence of anew nuiñe spart is now rapidly spreading in every field of human activity. Gal progress, it is felt, must be guided and accompanied by accurate torage,—ksowledge which is, in many departments, not yet open to the reader. In the Contemporary Science Series all the questions of Barn fe-the various social and politico-economical problems of to-day, Leest recent researches in the knowledge of man, the past and present semences of the race, and the nature of its environment-will be frankly rugated and clearly presented.

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PATRICK GEDDES and J. ARTHUR THOMSON. lilustrations, and about 300 pages.

With 90

A work which, for range and grace, originality and incisiveness of style a treatment, is not readily to be matched in the long list of books designed less to popularize science."-Scottish Leader.

ELECTRICITY IN MODERN LIFE. By

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“We the work is popular in style, written without stress of technicalities, and explanatory of the most elementary conceptions of electrical science, it 19 was advanced, that it gives an interesting account of the most Trot devements of the practical application of electricity to the every-day - is life-Dot commerce only, as in the telephone, but in medicine and in war, for example. The work is well illustrated, and on the whole it wine barito saggest how it could be bettered as a brief, popular exposi Iriată d” as subject."—Scotsman,

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No 9-ICHTHYOLOGY; Reptilia and Amphibia; General Zoology, thelading Ancient Works, Biographies, Classification, Darwinism, Manuais, Periodicals, Transactions of Societies; Anatomy, Physiology, and Embryology. Price 4d. Nog-ORNITHOLOGY, Local and British Ornithological Faunas; foreign and Exotic Ornithological Faunas; Cage Birds and Poultry; Orthelog zal Monographs; Periodicals and Systematic Works. MAMMALIA: including Cetacea, Sirenia, and Pinnipedia. FAUNAS AND GEOGRAPHY of Great Britain and Ireland, Continental Europe, Africa, America, Arctic Regions, Asia, AustralZOOLOGICAL VOYAGES. Over 1000 Works. Price 4d.

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DIGEST OF MR. HERBERT SPENCER'S WORKs.
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SCHOOL APPARATUS,
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Printed by RICHARD CLAY AND SONS, LIMITED, at 7 and 8 Bread Street Hill, Queen Victoria Street, in the City of London, and Published by MACMILLAN AND Co.. at the Office, 29 and 30 Bedford Street, Covent Garden.-THURSDAY, December 19, 18:9.

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