136 KEPOHT— 1873. 



were cxamiued, and the introduction &c. written, by Maskelync. Some 

 errata, found among Taylor's papers, are given on p. 64 of the work ; and a 

 list of nineteen errata signed by Pond is published iu the ' Nautical Almanac' 

 for 1833. To this list is appended the remark: — "The above errata were 

 detected by collating Taylor's Logarithms with tlic French manuscript tables, 

 now the property of C. Babbage, Esq. The arrangement for this examina- 

 tion was made by the late lamented Dr. Young ; a few days only before his 

 death he gave directions for its completion. — J. Pond." 



We do not know any thing further with regard to this examination, though 

 the fact that certain errors were found in Taylor by comparison with the 

 French tables is weU known ; but there must be some mistake, as the French 

 tables could not have been even temporarily the property of Babbage. In 

 the preface to his tables Babbage states that while on a visit to Paris he 

 availed himself of the opportunity of consulting the great manuscript tables 

 presei'ved at the Observatory, and'that he " enjoyed every facility for making 

 the comparisons which were requisite for this purpose [the preparation of his 

 seven-figure table], as well as making extracts necessary to me for other 

 calculations." 



Bagay intimates in his preface that he had found 76 errors in Taylor. 



Taylor was also the author of the Sexagesimal Table (§ 3, art. 9) ; and we 

 cannot but admire the undaunted perseverance that could enable him to com- 

 plete such monuments of industry in addition to his routine work as computer 

 in a laborious office. 



Thomson, 1S52. T. I. One-page table to convert arc into time. 



T. X. Locjarithms for folding the correction of the sun's declination &c., 

 viz. log 1440 — log X, from x=l to .r= 1440, to 4 places. 



T. XI. Logarithms of the latitude and polar distance, viz. log secants to 

 every minute of the quadrant, to 5 places, without differences; quadrantally 

 arranged. 



T. XII. Logarithms of the half sum and difference, viz. log sines and 

 cosines to everj- minute of the quadrant, to 5 places, without differences ; qua- 

 drantally arranged. 



1? 



T. XIII. Logarithms of the apparent time or horary angle, viz. 2 log sin ^ 



from .r=:0'' to a'=9'' at intervals of 10", with proportional parts for seconds, 

 to 5 places. 



T. XV. Logarithms of the apparent altitudes, viz. log cosec x — •5400, 

 fi'om A"=rO° to .r=89°, at intervals of a minute, to 4 places. 



T. XVI. Logarithms of the apparent distance, viz. log sines and tangents 

 for every minute, from 18° to 90°, to 4 places. 



T. XIX. Four-place proportional logarithms for every second to 3° ; same 

 as T. 74 of IIapeh. 



T. XXIII. Logarithms of the sum and difference, viz. log sin ^, from 



x — 0° to .^'=180°, at intervals of a minute, to 6 places. 



T. XXIV. Six-figure logarithms of numbers from 1000 to 10,000, with 

 differences and tables for interpolating at the foot of the page. In this book 

 it is only required to find numbers corresponding to logarithms ; and the 

 tables are constructed with this view. There arc given, therefore, the usual 

 differences (called first differences), and the aj>proximate results of the divi- 

 sion of 1, 2, o, . . . . 10, and ten or more higher numbers by them. By the second 

 difference is meant the difference between the given logarithm and the logarithm 

 next below it iu the table. 



