174 REPORT — 1873. 



Vieta was bigoted enough to suppress tke name of a heterodox author, 

 such as in all likelihood Sttivinus was. There can therefore be but little 

 doubt that the original suggestion for the centesimal division of the degree is 

 contained in the sentence quoted from ' La Disme ;' but we intend to inves- 

 tigate the question further, and endeavour to decide it conclusively. 



Contents of Part I. (1872 and 1873) of the Report on Mathematical 



Tables. 



Page 



§ 1. General Statement of the Objects of the Co7nmittee 1 



§ 2. General Introduction to the present Report, and explanation of its Arrangement 

 a7id Use. 



Art. 1. (Report inoludes general tables ; see also conclusion of § 1) 4 



2. (Object of the Report) 5 



3. (Previous works on the subject of tables; bibliographies, &c.) 5 



4. (Mode of arrangement of the Report ; meaning of a prefixed asterisk) 7 



5. (Explanation of the marks, conventions, terminology, &c. adopted) 8 



6. (The particular edition of a work described is arbitrary) 10 



7. (The tables themselves, and not merely their titlepages, hare been ex- 



amined) 10 



8. (Why certain names are printed in small capitals, or enclosed in square 



brackets; see also § 6, art. 5) 10 



9. (Use of the words 8vo, 4to, &c. ; see also § 6, art. 5) 11 



10. (Libraries consulted) 11 



11. (The Report is imperfect; information is asked from persons possessing 



knowledge on the subject of tables) 12 



12. (Traverse tables omitted) 12 



13. (Errors in tables) ' 13 



14. (The works are described from inspection ; care taken in preparation of the 



Report) 14 



§ 3. Separate Tables, arranged according to the nature of their contents ; with 

 Introductory Ecmarks on each of the several kinds of Tables included in the 

 present Beport. 



Art. 1. Multiplication tables 15 



2. Tables of proportional parts 20 



3. Tables of quarter squares 21 



4. Tables of squares, cubes, square roots, and cube roots 25 



5. Tables of powers higher than cubes 29 



6. Tables for the expression of vulgar fractions as decimals 30 



7. Tables of reciprocals 33 



8. Tables of divisors (factor tables), and tables of primes 34 



9. Sexagesimal and sexcentenary tables 40 



10. Tables of natural trigonometrical functions 41 



11. Lengths (or longitudes) of circular arcs 47 



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 48 



13. Tables of (Briggian) logarithms of numbers 49 



14. Tables of antilogarithms 62 



1 5. Tables of (Briggian) logarithmic trigonometrical functions 63 



16. Tables of hyperbolic logarithms (viz. logarithms to base 2-71828 ) 68 



17. Napierian logarithms (not to base 2-71828 ) 70 



18. Logistic and proportional logarithms 73 



19. Tables of Gaussian logarithms 75 



20. Tables to convert Briggian into hyperbohc logarithms, and wee wrsa 78 



21. Interpolation tables ... 79 



22. Mensuration tables 79 



23. Dual logarithms 80 



