( >47 ) 
^ theMeafures of Ratio’s and Angles. Mr. Leibnitz 
^ in the Leipjlc A 6 is of 1702, /. xi8 and 219, has ve- 
ry rallily undertaken to demonftrate, that the Fluent 
" of — . ^ cannot be exprelTed by Mealiires of Ra- 
“ tio’s and Angles ; and he Iwaggers upon the Occa- 
“ fion (according to his ufual Vanity) as having by 
“ this Demonftration determined a Queftion of the 
‘‘ greatell Moment. Then he goes on thus ; as the 
“ Fluent of — j — depends upon the Mealure of a' 
x~\~a 
X 
“ Ratio, and the Fluent of upon theMeaflire 
xx~f~aa 
‘‘ of an Angle ; lb he had more than once exprelTed 
his Wilhes, that the Progredion may be continued, 
“ and it be determined to what Problem the Fluents of 
" — — — , , ^r. may be referred. His De- 
x^+a^\v'+a^ ^ 
‘‘ fire is anfwered in my general Solution, which > 
contains an infinite Number of fiich Progredions. 
“ I can go yet farther, and diew him how by Mea- 
“ lures of Ratio’s and Angles, without any Exception ’ 
“ or Limitation, the Fluent of this general Quantity 
• 0 J1 -f- — « • I . 1 
« dzz ^ (jj. eygjj a zz 
e f z^ -{■ g z^^ e 
“ may be had ; where 0, as before, reprelents any Inte- ■ 
« ger, and the Denominator A of the Frad:ion — , re- 
“ prefents any Number in this Series, x. 4. 8. 16. s^.&c. 
any whole Number being denoted by its Numerator 
In truth I am inclined to believe, that Mr. 
‘‘ nitz's grand Queftion ought to be determined 
“ the 
