ON MATHEMATICAL TABLES. 119 



: parts. The three tables aro sexmnitecl, as is now usual (see Mack ay, § 4, 

 T. XLYIIT.). 



T. XXXI. Logarithms for Jimling the appcu'cat time or horary angle, 



viz. log -^ ~ ^^^ •^' ('= 2 log siii^) from a- = 0" to ,v = 0" at intervals of 



5', to 5 places, with proportional parts for seconds. 



T. XXXIV. Proportional logarithms for every second to 3°; same as 

 T. 74 of ILvrER. 



T. XXXVI. JS'atural versed sines to every minute of the quadrant, with 

 proportional parts for every second of the minute-interval, to 6 ]jlaccs. 



The other tables are nautical. These tables also appear in Xoeie s ' Epi- 

 tome of Navigation.' 



Norie (Epitome), 1 844. The tables are the same as in Korte's Xautical 

 ■Tables just described ; they- are added after the explanatory portion, which 

 occupies 328 pp. 



On the different editions, see Xorik's Epitome in § o. 



Norwood, 1631. Seven-figure logarithms to 10,000, and log sines and 

 tangents to every minute, to 7 places, semiquadrantally arranged: of the 

 latter we have seen separate copies under the title, " A triangular canon 

 logarithmicall " (the title it has also in the work). The editions we have 

 seen are : — ^first, 1631 ; second, 1641 ; thiixl, 1656 ; seventh, 1678. 



This was one of the first small tables in which the trigonometrical canon 

 was derived from Vl.vcq, 1628, and not Guntee, 1620. 



Oppolzer, 1866. Eour-fignre logarithms, with proportional parts to 

 1000. A page of Gaussian logarithms, after Filipoavski, and u page of pro- 

 portional parts. Log sines, cosines, tangents, cotangents to lO'' at intervals 

 of 1', Avith diftcrences, and from 10° to 45° at intervals of 10', with difl^er- 

 ences and proportional parts, all to 4 places. 



Oughtred, 1657. [T. I.] Sines, tangents, and secants (to 7 idaees) and 

 log sines and tangents (to 6 places) for every centesimal minute ( = tro'Tnr °^" * 

 right angle) of the quadrant. Sines, tangents, and secants on the left-hand 

 page of the opening, and cosines, cotangents, and cosecants, &c. (though not 

 60 called or denoted) on the right-hand jjage. 



[T. II.] Seven-figure logarithms of numbers from 1 to 10,000, followed 

 by a ' Tabula differentiarum ' for the sines and tangents. 



In an appendix at the end of the book it is explained that the logarithmic 

 sines and tangents were intended by the author to consist of seven figures 

 after the index, but that " the seventh figure was unhappily left out." This 

 is also referred to in the dedication. 



Ozanam, 1685. Natural sines, tangents, and secants, and log sines and 

 tangents, and logarithms of numbers to 10,000, all to 7 places. There ai'e 

 120 pp. of trigonometry &c. De Morgan points out that the tables are really 

 Vlacq's, though his name is not mentioned, and takes occasion very truly to 

 remark how many authors have considered that the merit of their books con- 

 sisted in the trigonometry, and that the tables (which usually form by far the 

 greater part of the work) were accessories of which no notice need be taken. 

 . Parkhurst, 1871. This little book contains forty-two tables, with the 

 last two of which this Report is not concerned. In describing briefly their 

 contents, it will be convenient to mention first the tables which contain 

 results most common in other works, such as logarithms &c., viz.: — ■ 



T. II., III., and IX. Logarithms fi'om 1 to 109, to 102 places. 



T. V. Multiples of the modulus -43429. ..from 10 to 96, to 35 places. 



T. XII. Logarithms of numbers from 1000 to 2199 at intervals of unity, 



