116 



CATALOGUE. — MATHEMATICS, ALGKBRA. 



ti^ 



Waring on the sums of divisors. Ph.tr. 1788. 



388. 

 Goodwyn on the.reciprocals of primes. Nich. 



IV. 402. 

 * Lagrange dc hi resolution des equations 



numeriques. Par. 1798. K. I. 

 IVernehurgs reine zahlen system. 8. 1800. 



Duodecimal arithmetic. Calls I2taun. 



Gough on primes and factors. Nich. 8. I. 1. 



TJie African nations employ a quinary arithmetic, calling 

 six five and one. Winterbottom's Sierra Leone. 



Numerical equations may often be easily resolved by 

 finding the result of two conjectural values of the quaoitity 

 sought ; then the difference or sura of the errors will be to 

 the diflference of the supposed values nearly in the same 

 proportion as cither of the errors to the error of the cor- 

 responding supposed value. 



SEKIES. 



Demoivrc on the roots of an infinite equa- 

 tion. Ph. tr. 1G93. XX. 190. 

 Monmort et Taylor de scricbus infinitis. Ph. 

 " tr. 1717. XXX. 633. 

 Simson on Gerard's remark upon series and 



fractions. Ph. tr. 1753.368. 

 Simpson on the partial sum of a series. Ph. 



tr. 1758. 757. 

 Landen on the sums of series. Ph. tr. 1760.553. 

 Landen on converging series. 4. R. S. 

 Landeh's observations on coaverging series. 



8. R. S. 

 Lorgiia specimen de seriebus convergenti- 



bus. 4. 11. S. 

 *Clarke's translation of Lorgna on series. 4. 



R;S. 

 Hutton on quickly converging series. Ph. tr. 



1776^476. 

 Hutton pn infinite series. Ph. tr. 1780. 387. 

 Maseres on a slowly converging series. Ph. 



tr. 1777. 187. 1778. 895. 

 Vince on infinite series. Ph. tr. 1782. 389. 



1785. 32. 1780. 1791. 295. 



Waring on infinite series. Ph. tr, 1784. 385, 



1786.81. 1787. 71. 

 Rotheram on geomctiical series. Manch. IVL 



III. 330. 

 L'Huilicr on scries. Ph. tr. 1796. 142. 

 Brinkley on the transformation and reversioa 



of series. Ir. tr. VII. 321. 

 Hellhis on a coaverging, scries. Ph.tr.~17-98^ 



183. 



INTERPOLATIONS, AND REDUCTION Of 

 OUSF.aVATIONS, 



Emerson's miscellanies. 199. 



*Lagrange on taking the mean of observa- 

 tions. M. Taur. V. ii. I67. 



Waring on interpolations. Ph. tr. 1779; 59. 



Euler on Lagrange's mode of taking a mean,. 

 N. A. Petr.IlI. 1785.289. 



LeGARIXHMS. 



Mercatoris Logarithmotechnia. 



Extr. Ph. tr. 1668. III. 753, 

 Hallcy on logarithms. Ph.tr. 1695.XIX.58. 

 Craig Logarithmotechnia generalis. Ph. tr. 



i7iO.XX.VII. 19L. 

 Long's new method for making logarithms. 



Ph.tr. 1714. XXIX. 51. 

 Taylor's method of computing logarithms. 



Ph.tr. 1717. XXX. 610. 

 Dodson on a series for computing logarithms. 



Ph. tr. 1753. 273. 

 Bayeson a logarithmic series. Ph. tr. 1 7.63.260. 

 Emerson's miscellanies. 189. 

 Jones onlogarithms. Ph. tr. 1771.455. 

 Ferroni theoria magnitudinum exponentiali- 



um. 4. R. S. 

 Ilellins's theorems for computing logarithms. 



Ph. tr. 1780. 307. 1796. 135. 

 ilfrtseresscriptoreslogarithmici.^3v. 4. 1791.. 



6. R. I. 



