♦50 



figiire.M or less, and the first 25 of four-place 

 divisors. The uses of the five tables liere- 

 lu art entirely subsidiary to those we have 

 next to mention, except the last, which 

 exhibits ihe aiiihor's mode of applying 

 circulating decimals to the risridly correct 

 calculation of the interest of moneys for 

 days. — The other volume before us is the 

 first of five iutended parts of "a Tabular 

 Series of Decimal Quotients, of all Ihe pro- 

 per vulgar fractions, in their lowest terms, 

 whose denominators do not exceed 1000 ;" 



List of New Publications in May, 



[Jun« I, 



4t 



posing — were given, it » clear that the 



444 

 decuple of its equivalent decimal must lie 



41 41 



between those of — and — : these we find, 

 44 45 



in the pamphlet referred to, are '9318 and 

 •91, which at once limits the search to be 

 made to pages 140 to 14.'J of the tabular 

 series before us ; and further, we perceive 

 that the vulgar fraction sought must lie 

 near the middle of this space in the table, 



which parts, when completed, will exhibit and somewhat nearer to the larger decimal, 



an increasing series of 304,192 decimal 

 fractions, against each of which is set an 

 equivalent proper vulgar fraction, between 



and - ; and, by the very easy pro- 



cess of arithmetical complements, the 

 above number of decimal and vulgar frac- 

 tions may be doubled. In this tirst part 

 is printed, 30,414 decimals to 8 places 

 (and which the circles, in the above-men- 

 tioned volume, will extend to any num- 

 ber of places whatever,) from "001. to 

 •09989909, with their corresponding frac- 

 tions^ and we wish to point out, since the 

 author hasomitled to do so, to those who 

 may hesitate as to procuring the first part 

 of this truly useful table, that by the sim- 

 ple process of supposing the decimal point 

 removed one place to the right, and the 

 before it expunged, adding at the same 

 time an to the numerator, or, instead 

 thereof, expunging an from the denomi- 

 nator, (whenever it can be done,) 30,414 

 other decimals and their equivalent vulgar 

 ,10 

 fractions, in the whole range between 



1000 



,990 



= -01, and —- = '99899, &c. will be ex- 

 999 



7 

 hibited. For example, — - rr •048931 

 143 



70 • 



evidently gives — = '489510 ; and again, 



— '048863, as evidently affords us 



880 



— =z •48863, &.C. with the advantage of 

 88 



requiring no arithmetical complements to 

 be taken in all the extensive series of deci- 

 mals thus obtained; which series calcu- 

 latoi-s will find of daily and important use 

 to them, for reducing or changing deci- 

 mals into fractions, or the reverse. We 

 cannot refrain from adding, that for each of 

 the 91,24'<i vulgar fractions of three figures 

 or less, either printed in, or almost instantly 

 deducible from, this small volume, as above 

 mentioned, the equivalent decimal may, in 

 any case, be easily sought out, and ascer- 

 tained to any degree of accuracy, with the 

 aid of the previous quarto pamphlet, men- 

 tioned at the fool of page 449. Thus, sup- 



and accordingly, in casting the eye down 

 the fraction columns, we find, near the 

 end of page 141, the sought-for fraction 



41 



— ; and following it, is the equivalent de- 

 444 . . 



cimal '09234. 



ARBORICULTURE. 



Dendrologia Britannica ; or, Trees and 

 Shrubs that will live in the open Air of 

 Britain throughout the Year ; by P. VV. 

 Watson. No. V. 8vo. 4s. fid. 



BIBLIOGRAPHY. 



Richard Baynes's Catalogue of an exten- 

 sive Collection of Second-hand Books for 

 185^3: comprising many articles of rare 

 occurrence in Theology, and every other 

 Department of Liteiature. 3s. 



BIOGRAPHY. 



Life and Adventures of Lady Anne, the 

 little Pedlar. l2mo. 3s. 6d. 



Three Years' Adventures of a Minor, in 

 England, the West Indies, South Carolina, 

 and Georgia ; by W. Butterworfh. 8vo. 9s. 



Memoirs of a Captivity among the Indi- 

 ans of North America, from Childhood to 

 tbe age of nineteen ; by J.D. Hunter. 12s. 



The Life of Ali Pacha. 2d edit. 8vo. 12s. 



The Life of Napoleon Bonaparte ; by 

 W. H. Ireland, in numbers, is. each. 



Memoirs of Francis Barnett, the Lefe- 

 vre of "No Fiction." 2 vol. 12mo. 12s. 



Orme's Life of Wilham Kifiin. 5s. 6d. 



Memoires du General Rapp, Premier 

 Aide-de-Camp de Napoleon. Ecrits par 

 Lui-meme, et publics par sa Famille. 

 8vo. 10s. 6d. 



CHEMISTRY. 



Elements of Experimental Chemistry ; 

 by W. Henry, M.D. Ninth edit. 2 vol. 24s. 



CLASSICS. 



Select Works of Poiphyry ; containing 

 his Four Books on Abstinence from 

 Animal Food. Translated by T. Taylor. 

 8vo. 10s. 6d. 



PalcBoromaica ; or Disquisitions, in- 

 quiring whether the Hellenistic Style is 

 not Latin-Greek ? 8vo. 16s. 



An Introduction to the Hebrew Lan- 

 guage; by W. H. Helnemann. 12mo. 5». 



DRAMA. 



Ahasuerus the Wanderer, a Dramatic 

 Legend, in six Parts. 8vo. 5s. 6d. 



Durazzo , 



