4-S JMifcellanea Curiofa. 



pertaining to a Logarithm afligned, it will be 

 requifite to advertife the Reader, that there 

 is a fmall miftake in the aforefaid Mr. James 

 Gregory's Vera Ouadratura Circuit & HyferboU^ 

 publifhed at Tadua Anno 1667. wherein he ap- 

 plies his Quadrature of the Hyperbola to the 

 making the Logarithms ; In fag. 48. he gives 

 the Computation of the Lord NapeiSs Loga- 

 rithm of 10, to five and twenty places, and 

 finds it 2302585092994045624017870 inftead 

 of 23025850929940456840 1 7991 , erring in the 

 eighteenth Figure, as I was affured upon my 

 own Examination of the Number I here give 

 you, and by comparifon thereof with the fame 

 wrought by another hand, agreeing therewith 

 to 57 of the 60 places. Being d^firous to be 

 fitisfied how this difference arofe, I took the 

 iio fmall trouble of Examining Mr. Gregory's 

 Work, and at length found, that inthe infcri- 

 bed Polygon of 512 Sides, , in the eighteenth 

 Figure, was a o inftead of 9, which being re- 

 ctified, and the ftibfequent Work corrected 

 therefrom, the refult did agree to a Unite 

 with our Number. And this I propofe not to 

 Cavil at an ealie miftake in managing of fo vaft 

 Numbers, especially by a Hand that has fo 

 well deferved of the Mathematical Sciences, 

 buttofhewthe exacl: coincidence of two lb 

 very differing Methods to make Logarithms, 

 which might othervvife have been queftion- 

 ed. 



From the Logarithm given to find what 

 ratio it exprelfes, is a Problem that has not 

 been fo much confidered as the former, but 

 which is folved with the like eafe, and demon- 



ftrated 



