213 Of the SOLIDS 



The attra&ion is a maximum, therefore, when ft = 9. Vl 7 



7 8 ' 



that is, when y is to x, or the radius of the bafe of the cylinder, 

 to its altitude, as g — v/17 to 8, or as 5 to 8 nearly. Therefore 

 alio the diameter of the bafe is to the altitude, when the at- 

 traction of the cylinder is greater!:, as 9 — V 17 to 4, or as 5 to 

 4 nearly. 



5, The attraction of the cylinder, when a maximum is now 

 to be compared with that of a fphere of equal folid content. 



First, to compute the quantity 2 * "*"* , when 



u-=. 9 *? = .6096, fince »* = .37161, i + w* = 1.37161, 



o 



and V 1 -J- u x = 1.17 116 ; fo that 1 + « — ^1 + ^ = .43844. 

 Also becaufe «" = .37161, « 3 =.718945; and therefore 



I+ „_vi+7 _ 4384. Therefore Aiwf.™ . i +"-y 1 + r 



Z/ 



7189 



f <*~* « J 



2ff* OTX 43 



7189 



Now, if A' be the attra&ion of a fphere of the folidity m, 

 A. = ^«x(fy,a„d A: A-::^|fi : (fy: : 



8768 



. I.2II4, 

 7189 *' 



