142 KEPORT— 1873, 



however, in the next Eeport to give a complete list of errors in the portion 

 of the table from 10,000 to 100,000, 



We succeeded in obtaining a copy of this work after some difficulty ; Mr. 

 Merrifield informs us that copies have always been procurable from abroad 

 for about £2. 



Vlacq (Trigonometria Artiflcialis), 1633. [T. I.] Log sines and tan- 

 gents to every ton seconds of the quadrant, to 10 placet?, with characteristics 

 and differences (not interscript) ; semiquadrantaUy arranged. The table 

 occupies 270 pp. 



[T. II.] Ten-figure logarithms of niimbers to 20,000, with differences, 

 printed from the same type as that used in the ' Arithraetica '(1628 and 1631) 

 (excei)t the last 500). A list of errata is given on the last page. The trigo- 

 nometry «S:c. at the beginning occupies 52 pp. See § 3, art. 15 (introductory 

 remarks), and also Vega (foh), 1794. 



Vlacq, 1081. This is one of the numerous small editions called after 

 Ylacq, on the Gellibrand model. The contents, shape of type, &c. are exactly 

 the same as in Hentscuen (Vlacq), 1757, § 4, except that in the latter the 

 " whites " arc rather wider. The printed portion of the page of tables is 

 3| in. l)y 5:j in. There are 48 pp. of trigonometry &c. in Latin. No namo 

 except Vlacq's appears in connexion with the work. 



[T. I.] ISTatural sines, tangents, and secants, and log sines and tangents 

 for every minute, to 7 places. 



[T. li.] Logarithms of numbers from 1 to 10,000, arranged consecutively 

 in columns, to 7 places ; no differences. 



In one of tlie copies we have seen there are several errors corrected in 

 manuscript. This edition must be rather common in England, as wo have 

 seen several copies. 



Wackerbarth, 1807. T. I. Pivo-figure logarithms (arranged as in 

 seven-figure tables) to 100, and from 1000 tc^ 10,000, with proportional 

 parts to tenths (/. e. multiples of the differences). The degrees, minutes, &c. 

 corresponding to eight numbers on the page are given at the bottom of each. 

 At the end of this table tbere are added seven-figure logarithms of numbers 

 from 10 to 100, and also from 10,000 to 11,000, the latter with proportional 

 parts to tenths. 



T. IL Log (1.2.3. ....t) for .r=l, 2,. . . .100 ; log (1 .3. 5. . . ..r) for 

 .r=l, 3, 5 65 ; log (2 . 4 . 6 .^■) for w=2, 4, 6 06 : all to 5 places. 



T. III. Log sines and tangents for every second from 0' to 10' ; log sines and 

 tangents for every ten seconds from 0° to 5° ; log sines and tangents for every 

 minute of the quadrant : all to 5 places. Differences are added throughout, 

 and also proportional parts to tenths (i. e. multiples of the diflferences) for every 

 second to 5°, aud for every 10 seconds in the other portion of the table. 



T. IV. Circular measure of 1°,2°,. . . .180°, of l',2',. . . .60', and of 1", 

 2", .... 00", to 5 places. Some constants, such as the unit arc, its logarithm 

 &c., are added. 



T. V. Hyperbolic logarithms of numbers from 1 to 1010, to 5 places, with 

 proportional parts to tenths, arranged as in seven-figure tables of Briggian 

 logarithms ; followed by the first hundred multiples of the modulus and its 

 reciprocal, to 5 places. A few constants, tt, e, &c., are given, to 30 places, 



T. VI. Squares of numbers from 1 to 1000. 



T. VII. Square roots (to 7 places) of numbers from 1 to 1000. 



T. VIII. Natural sines, cosines, tangents, and cotangents for every 10' 

 to 5°, thence for every 20' to 15°, aud thence to 45° at intervals of 30', to 3 

 places. 



