ON MATHEMATICAL TABLES. 123 



printed at full length ; the proportional parts are given at the foot of tho 

 page. 



T. 6-5. Log sines, tangents, and secants to every quarter point, to six 

 places. 



T. 66. Log sines of small arcs, viz, for each second to 1° 30', thence (T. 

 67) for every ten seconds to 4° 31', to 6 places, the logarithms being printed 

 at length ; T. 67 has proportional parts. 



T. 68. Log sines, tangents, and secants (printed at full length) for every 

 half minute of the quadrant, to 6 places, with differences and proportional 

 parts for 1", 2".. ..30" (= half a minute) beyond 3°, scraiquadrantally 

 arranged ; arguments also expressed in time. 



T. 69. Log siu^ '^ from x = to x = 180° at intervals of 15" (arguments 



expressed also in time), to 6 places ; all the logarithms printed at full length : 

 no differences. 



T. 74. Proportional logarit.hms, viz. log 10800" — log .v from .v = 1 to 

 X = 10800" ( = 3° or 3") to every second, the arguments being expressed in 

 degrees (or hours), minutes, and seconds, to 4 places ; the other tables arc 

 nautical &c. 



Reynaud, 1818.- The trigonometry occupies 182 pages; and after the 

 diagrams are inserted Lalande's logarithms, which are quite disconnected 

 from the work. 



t [T. I.] Five-figure logarithms to 10,000, arranged in columns, with cha- 

 racteristics and differences ; the number of degrees, minutes, &c. for the first 

 number in each column (viz. for every thirtieth number) is given at the top. 



[T. XL] Log sines and tangents for every minute of the quadrant, to 



5 places, with differences. 



Riddle, 1824. T. IV, Log sines, tangents, and secants to every point 

 and quarter point of the compass, to 6 places. 



T. V. Six-figure logarithms of numbers to 100, and from 1000 to 10,000, 

 with differences, arranged as usual. 



T, VI. Log sines, tangents, and secants to every minute of the quadrant, to 



6 places, with differences, semiquadrantally arranged. [The heading of this 

 table in the book is inaccurate.] 



T. XXVIII. Natural versed and suversed sines, viz. 1 — cos .v and 1 +cos .v, 

 for every minute of the quadrant, to 6 places, with proportional parts for 

 1 ", 2" . . . 60", so that the tabular results can be taken out very easily to 

 seconds. The extreme left- and right-hand columns serve both for mini\tes 

 in the arguments and for multiples in the proportional parts. The first 

 figure of the versed sine and the first two of the suversed sine are generally 

 omitted throughout. 



T. XXIX. Proportional logarithms, viz. log 10800" — log .v from x = 

 to .V = lOSOO" (=3^ or S*"), the argiiments expressed in degrees or hours, 

 minutes, and seconds at intervals of 1", to 4 places. 



The book contains 34 tables, the rest of which are nautical. The navi- 

 gation &c. occupies 299 pages. 



Rios, 1809. The first edition was published in 1806; and this is the 

 second. The tables are identical with those in the Spanish reprint of 1850 

 described below, so that the description of the latter will suffice. The 

 numbers both of the tables and the pages are the same in both ; and the only 

 difference is that the headings of the tables &c. in the 1809 edition are in 

 English. A list of errors in this edition is given in the reprint of 1850. '" ._ 



Although the title of the Spanish reprint is given in the list in § 5, we have 



