140 KEPOKT— 1873. 



Log sines, cosines, tangents, and cotangents, from 0° to 6° 3' at intervals 

 of 10", and thence to 45° at intervals of 1', to 7 places, with diiferences for 

 1" throughout. 



An Appendix contains some spherical trigonometry. One page (p. 297) 

 contains longitudes of arcs, viz. circular measure of 1°, 2°, . . . . 90°, and 

 by intervals of 10° to 180° ; also of 360°, of 1', 2', . . . . 60', and of 1", 2", .... 

 60", to 8 places. At the end some errata are given, and also some in Callex 

 and other -works. 



The description of this work, according to order of date, should follow the 

 next ; but as it is referred to in the latter it is convenient to place it first, 



Vega (Tabulae), 1797. Yol. i. — T. I. is identical, page for page, with 

 T. I. of Vega's ' Manualc ' just described, and was most likely printed from 

 the same type. The constants &c. on p. 188 are also identical. 



T. II. is also identical with T. II. of the ' Manuale,' only with the addition 

 of 40 more pages, containing log sines and tangents from 0° for every 

 second to 1° 30' 0", to 7 places, without differences. Thus the ' Tabulae' and 

 the ' Manuale ' agree to p. 193 ; then the 40 pp. are inserted in the ' Tabulae,' 

 and pp. 233-330 of the ' Tabulas ' are identical with pp. 193-290 of the 

 ' Maniuile,' the coincident portions of the two works being doubtless printed 

 from the same type. 



T. III. Natural sines and tangents to every minute of the quadrant, to 

 7 places, with differences for one second throughout. 



The Appendix contains a table of circular arcs, viz. the circular measure 

 of 1°, 2°, 3°, . . . . 360°, of 1', 2', . . . . 60', and of 1", 2", .... 60" (with the cor- 

 responding number of seconds in these angles), to 8 places, and small tables 

 for the conversion of arc into time, and hours &c. into decimals of a day. On 

 pp. 407-409 are given one or two constants connected with the calcula- 

 tion of TT, the values of a few radicals, and the expression for the sine of 

 every third degree in radicals. Some errata are given at the end of the 

 introduction. 



Yol. ii. — T. I. Table of all the simple divisors of numbers below 102,000 

 (2, 3, and 5 excluded) ; a, b, e, d arc printed for 11, 13, 17, 19, to save room. 

 This is followed by primes from 102,000 to 400,000. Ciieenac (§ 3, art. 8) 

 found 39 errors in this table : see his preface. 



T. II. Hyperbolic logarithms of numbers to 1000, and of primes from 1000 

 to 10,000, to 8 places. This table is followed by the first 45, 36, and 27 

 powers of 2, 3, and 5 respectively. 



T. III. gives e^ and Briggian log c^ (the former to 7 figures, the latter to 7 

 places), from .r=0-00 to ,i~ 10-00 at intervals of -01, 



T. IV. The first nine powers of numbers from 1 to 100, squares from 1 

 to 1000, cubes from 1 to 1000, and square and cube roots of numbers from 

 1 to 100, to 7 places. 



T. Y. Logistic logarithms, viz. log 3600 — log (number of seconds in argu- 

 ment), for every second to 1° ( = 3600"), to 4 places. 



[T. YL] The first six binomial-theorem coefiicients, viz. x, '-^t— s> • • • • 



x{x—l) (.^■— 5) , , . 



^ — 1^ H J from A'=-01 to .r=l-00 at intervals of -01, to 7 places. 



1 13 1 13 



This is followed by a page of tables, giving j-^, ^^' g , ^-^, 2~i~5' 



1-3 . . 



• • • • 2~Z ^^'j to 10 places, with their logarithms to 7 places. 



