

TAB1.K. 



TABLli. 



1001 



1808. Ebert. ' Adriani Vlacq TabuUe Sinimm,' ftc. Leipzig. The 

 contents re u before described (1G35). This is a now (and ap|>a- 

 rently the U(t) edition of KbertV, whose prefa I I7ui>. 

 Besides the content* above described tlirr, aic logarithmic tinea and 

 tangents for etch m-cond uf the tirst de ; .ires :in<l 



all integers up to . 



1809. George Douglas. ' Mathematical T .iburgh. A 

 long preface; followed by seven-decimal logarithms irom 1 to 10,000, 

 ti 111:1 n lino, in the usual way. 'I'm. supplemental tables, with the 

 name from 10,000 to 11,000. and from lun.oOO to 101,000. 



plete logaritlimic canon for mint; ' corre- 



sponding canon of natural sinus, Ac. Natural and logarithm!* 

 Bines, the former to '.HI', the latter continued to 18u". A table to 

 ; t sexagesimals into decimal*; and logarithms from 1 to IMI, t<> 

 15 decimal*. A different arrangement from the usual one in several 

 respect*. N .ny part of the t . 



(1812). In /Cadi's ' Moii.ithln he Correspondent,' vol. xxvi., i>age 498, 

 Gauss proposed his logarithms for the finding of log (a + 6) from log a 

 and log 4 [LO<,AIUTHM>. (i u>s'.sj. with a specimen. II. 

 he had been in the habit of u^ing live-figure tallies of liU or. 

 strnction. Gangs had given a short review of I'as.mich's tallied 

 (mentioned below, )b!7) in the ' Gottingeu gelehrte An 



(1814). [Printed by] Firmin Didot, Paris. Six decimal logarithms 

 beautifully printed : numbers 0(1) 21751) : sines and tangents 1 1') 15 ; 



-i, tangeuts, cot.. 

 "00(0"-0001)OV.< 



1S14. Barlow's Tables, London. Here are found eight-figure hyper- 

 bolic logarithms up to that of lO.ouu, calculated from the. primes ill 

 Vega. They hail been previously printed in K.is ; Cyclop. 



The factors, primes, ic. in this work have been already mentioned, 

 and it also contains a table for the irreducible case of cubic equations, 

 binomial coefficients, algebraic formula, speciiic gravities, &<-. The 

 reprint of 1S40 contains only the squares, cubes, square ami cube roots 

 and reciprocals ; but for these things it is the most accurate which 

 exists. 



1817. Thomas Preston, 'A new system of Commercial Arithmetic.' 

 Sets of five-figure logarithms. In the first, the number is ahu repre- 

 sented as a number of pence, and turned into iKiunds, &c. Th; 

 has 40t 8. 5i/. ou the other side of its logarithm : this is carried as 

 far as 13lrf. A similar table for avoirdupois pounds, as i 

 A table from 1 to 330, proceeding by twelfths : from 1 to 312, by 

 sixteenths: and other tables of the same kind. This is one of the 

 largest attempts of the kind. 



.'. J. Pasquich, ' Tabulae Logarithmico-Trigonometric;e coii- 

 tractic,' Leipzig. Title and explanations in both Latin and Qi 

 Five-decimal logarithms of numbers ( 1 ) 1 0,000 ; logarithms: of sines 

 and tangents 0(10") 56 (20")!; five-decimal logarithms of sin 

 tangents, with a table of the squares of sines and tangents i ! 

 flaita'i Logarithm. [LOGARITHMS, G*rs.s's.] The range of A is as 

 follows, (-001) 2 (-01) 3-40 (-1)5. This trigonometrical canon of 

 squares is, we suppose, almost unique. 



1817. [E. A. .Matthiessen], ' Tabula ad expeditiorem Calculum 

 Logarithm! Summae vel Differentiae duarum Quantititum,' Altoua. It is 

 to seven decimals, and A proceeds as follows: ('0001) 2 (-001) 3 ('01)4 

 ( li:"i (1)7. But having only four figures of argument, the seven 

 figures of tabular result are very troublesome to deal with, and the 

 arrangement is not comm.-; s, in a letter to Sclim 



. ISM) writes as follows: (trai, 



edition irefcrr.ng to Mr. Peter Gray's work of 184!), then in pi 

 will no doubt correct the deficiencies which make Matthiessen'.^ 

 nearly useless. My tables are intended to make computation which 

 can be : / //<./'/ l<-//i, moi -.< l.y their help. You 



t have trouble to mid what is to come out of the tabls, but | 

 you mu.-t find it in the most easy manner ]io.-ji'olc. This is i 

 case with Matthie^sen's table, as I have shown in No. 47-1 

 i. Nochr.' There is anotln t 



>^'h. Their 



(1818). GrusouV Logarithms,' Berlin. Contains aNo squares, cubes, 

 roots, and cul>e roots up to . 



D, ' Adriani Vlacq Tabime,' io. The explanations 

 are gi\ n. To the c 



..ml cube roots to seven decimals for ail in 



"P * ' milled. 



Tlu; form of the canon U modernised, and made complete] 



I is railed t; i,ich verv l'ik.-iy it 



i' it was the editor's duty t . ' . ; .. T nine- 



.tioin were. 



Leipzig, contain Gauss's tables, to live 

 . ith proportional |i r t^ !ier) 



. K. A. Matthj Sritlimen,' &c., AHona. 



This table lias fivc.-iigure : i to Hi. 



with a supplemental tai.le of proportional parts, arranged on tl 

 iicct, on ranvass. 



lithms of number* only, no correct. 



ired pajTs; I 1 .-,; were at 



anted on yeUow paper in France to accompany them; but 



the French paper was of so bad a colour, that we believe the 



mi-lit wa- not c.iminuiil. The tirage of 1SU1 is called a second edition, 

 and copies on tin i \\itli. In the preface are some 



conclusions as to the c..inliti."i . which 



are well worthy the attention of tho.-e \\ h have tables to print. .Mr. 

 llabbage was, so far as v. v. ho di.~t. 



augmented last figure Horn an uiiatigui niiting the con- 



traction of 1234ti for instance, as 1235. This example is now 

 frequently followed. It secures an extreme nicety in certain rarely 

 occurring cases: but we never found any practical balance to the 

 nience of a new symbol, except when the augmented ligui 



We should recommend that an augmented 5 (Babbage's 5) should lie 

 printed v or V : all the advantage of an excellent but 

 suggestion would thus be received. 



(1827). Salomon, 'Tables de Logarithm! .-,' Vienna. A Ian. 

 lection : contains also squares, cubes, square roots, cube roots, up to 

 those of 1000 ; and divisors up to loli.nl I. 



1827. Hantschl's Tables, Vienna. Ten-figure logarithms of ] 

 up to 15,381 cubes, square and cul> 



12M!>: factor.- up to lb,'J77; and others. 



1S27. <i. I''. Ursinus, Logarithm!,' &c., Copenhagen. A en: 



ion in Lngland. 



g's I'oiir-liguiv T.. ins, &c., Berlin, contain 



Gauss's tables. See ' l!."i, Warnstorff.' &c. below. 



Logarithnien vmivier Dccimal-Stellen Berlin, I'Jmo. Four-figure 

 logarithms, 0(l)100u, n v.ithout any name, letter-pi. 



date. 



. Bogay, ' Nouvelles Tables Astrmomi,.i. 



ti. ni in inthms of eines and tangents t" 



second. The logarithms of numbi 

 decimal!. 



1830. lla.ssler, ' Logarithmic, &c. Tallies,' in a pocket form. 

 York. Seven-figure logarithms throughout: to half minute in 

 through the greater part of the tables of sines, &c. The logarithms of 

 numbers broken as in Callet. We dislike this mode extremely ; but 

 many find it convenient. 



1831. Lalande, ' Tables de Logarithmes,' Paris. St. 

 1805; 1S31 is the date of the first timye with all corrci 

 Five-figure tables throughout, and no mistake has evor beei) lound in 

 them, though it is said a reward was olfered for any detection. 



are, we believe, Brussels and other editions which have not the same 

 character. The original work of Lalande, or Lacai: 

 Marie, had six places; last edition 1S04; there 

 the name of Lalande only, stereotyped in 1804. A similar tab!. 

 seven decimals, has been published for the use of students preparing 

 for the Polytechnic School, and is sometimes furnished for the genuine 

 Lalaude : it is useless for ordinary purposes. If the English reprint of 

 the tirage of Ift31 (presently noted! be and no en 



yet. been found, it is much the better by type ami paper. 



1832. .1. P. Gruson, ' Bequeme Logarithmische . . Tafclu,' l!e:lin. 

 A school-book. Seven-decimal logarithms 0(1) Id." . and 

 cubes, square and cube roots u (1) loun ; arcs of the circle ; sii:. 

 tangents and their logarithms (l')S' (10') 45. 



1S32. H. (J. Kohler, ' Tables de Logarithmes,' Sic. An edition of 

 Lalaudii which gives Gauss's logarithms. 



Xo date, (stereotyped,) Morit/ von Prasse, ' Logar. 

 edited by Mollweide, and then by .lalm, Leip/ig. i 

 logarithms of numbers (1) lu,uuO ; of sines and tangents (!') !." ]int 

 together in a new way, so as to separate the common figures, as in the 

 logarithms of numbers, and to get live degrees into a d 

 sacrificing the di>" I'aiilcs, A having u ruol) 2 rul) 



3'40('])5; and a mollification of Gauss's table, in which log .' is i he 



argument, and Ing 



^ ) 



the tabular result, x going through 



(001)5(-01)3-6('l),V, r i. An edition of Von Prasse was p 

 jialraa, at I'aris. in 1MI : aim the . led table was pub 



Sej ar.-it.ely by U'ieilenbach, Copenhagi'li. ( 1>2!M. 



1S34. Robert Wallace, 'Mathematical Cal.-. six- 



figure I ii-r tables. The trigoi . tables 



arrangeil by iloul ieiis and unit> i>t minutes. 



ISilti. Aiioiiymons (.Simpk.n. .M..r*hall. an. logarithmic 



A very mat repr.nt of Hauler without i objec- 



tionable breaking of the hn. .. in the logarithms ot ; 



Io38. C. li. Airy. ' Appemtix to the, Gruenwi. 

 London. A table of sine.-, and c. .sines, with tl.r aimiments Ell 



ilO')24 h and the BJgqi mar! . 



"t sine- and . i| v.hich is lh. i. !.,,, ! Iran.l.irma- 



the other. And each again is the table from d to I, with 



'..n, four times; so that the pair of tab!, 

 ..mil or' one t.-il.l". It. is to live ifecimaU, i,hoiu <iiii, rent 



Anonymo. and V.'alton, un 



Society; suggested by Jlr. De Morgan; examined by Mr. I 

 otd. A reprint ,.f l.alamle (tmtg> of 18il) with 



oared with other tables. No error was found in 

 Lalande, and none IKUS hitheito (ISliM been found in this i. 

 The old numeral type was first coni] i ! i m thiswoik. 



After the lii-gt tirage, the following addition was made : On< 



