14 REPORT — 18/3. 



Art. 14. The whole of the work required in the preparation of the Eeport 

 has been carefully performed ; and we believe that not many inaccuracies will 

 be found. Every work noticed, except only three or four, has been described 

 from actual inspection ; and the account has invariably been written with tlie 

 book before us. Every one, however, who has had any experience of biblio- 

 graphical work knows how impossible it is to be always accurate ; the work 

 has often to bo performed in public libraries open only for a few hours in the 

 day, so that any one who has not an unlimited number of days at his command, 

 must sometimes work under pressure. Omissions are thus made, which, when 

 discovered during the revision six months afterwards, cannot be rectified 

 without great loss of time, even if it be remembered what library it was that 

 contained the work in question. The references from one part of the Eeport 

 to another will also, it is believed, be found correct ; but as the whole plan 

 and arrangement have been altered in the course of the year over which the 

 preparation of the Ileport has lasted, it is possible that some of the old refer- 

 ences may remain still uncorrected. If this should be found to be the case, not 

 much difficulty can ever be experienced in seeing what is meant with the aid 

 of the list of articles at the beginning of § 3, and the list of works in § 5 ; 

 also if any misprints (such as T. IT. for T. III. &c.) should escape notice in 

 the correction of the proofs, the reader will be enabled to correct these with- 

 out much waste of time. Lists of errata and corrections, should such bo 

 needed, will be given in subsequent Reports. ^Yhenever we have made a 

 statement on some otlier authority than that of our own observation, we have 

 invariably stated it, though we are aware that we thus lay ourselves ojien to 

 the imputation of not having verified facts of the accuracy of which we might 

 have assured ourselves ; but, as De Morgan has observed, the possibility of 

 writing a history entirely from personal observation of the originals has not 

 yet been demonstrated. 



§ 3. Separate Tables, arranged accordinr/ to the nature of tlieir contents ; with 

 Introductory liemarlcs on each of the several Jcinds of Tahles inclnded in 

 the present Bejiort. 



This section is divided into twenty-five articles, the subject matter of which 



is as follows : — 



Art. 1. Multiplication tables. 



2. Tables of proportional parts. 



3. Tables of quarter squares. 



4. Tables of squares, cubes, square roots, and cube roots, 



5. Tables of powers higher than cubes. 



G. Tables for the expression of vulgar fractions as decimals. 



7. Tables of reciprocals. 



8. Tables of divisors (factor tables), and tables of primes, 



9. Sexagesimal and sexcentenary tables. 



10. Tables of natural trigonometrical functions, 



11. Lengths (or longitudes) of circular arcs. 



12. Tables for the expression of hours, minutes, &c. as decimals of a 



day, and for the conversion of time into space, and vice versa. 



1 3. Tables of (Briggian) logarithms of numbers, 



14. Tables of antilogarithms. 



15. Tables of (Briggian) logarithmic trigonometrical functions. 



16. Tables of hyperbolic logarithms (viz. logarithms to base 2-71828 . , .). 



17. Napierian logarithms (not to base 2-71828 . . ,). 



