Mifcellanea Cur to [a. 47 



All theife Series being to be multiplied into 

 0,4342944819 &c. if you defign to make the 

 Logarithm of Briggs, But with great Advan- 

 tage in refpect of the Work, the faid 434294 

 4819, &c. is divided by 1057 and the Quo- 

 tient thereof again divided by three times the 

 Square of 1057, and that Quotient again by \ 

 of that Square, and that Quotient by ] there- 

 of, and fo forth, till you have as many Figures 

 of your Logarithm as you defire. As for Ex- 

 ample; the Logarithm of the Geometrical 

 Mean, between 22 and 24, is found by the Lo- 

 garithms of 2, 3 and 11 to be 



1057)43429 &c. 

 3 in 1117249)41087 &c. 

 \ in 1117249)12258 &c. 

 1 in 1117249)65832 &c 

 £ in 1117249)42088 &c. 



1. 361 3 1696 1 2669061 2945009172669805 

 ( 41087462810146814347315886368 

 ( 12258521 544181829460074 



( 6583235184376175 

 ( 4208829765 



( 29 30 



Summa. 



I.36172783601759287886777711225117 



Which is the Logarithm of 23 to thirty two 

 places, and obtained by five Divifions with ve- 

 ry ftnall Divifors ; all which is much lefs Work 

 than fimply multiplying the Series into the faid 

 Multiplicator 43429, &c. 



Before I pafs on to the converfe of this Pro- 

 blem, or to fliew how to find the Number ap- 

 pertaining 



