Sv IKXCE ABSOLUTE OF SPACE. 



Hence the whole surface of the sphere 

 = area 



the surfaces of spheres are to each other 

 as the second powers of their great circles. 



VII. In like manner, in S, the volume of 

 the sphere of radius x is found 



- l /2~i (X&quot; X *) 2~i~x; 

 the surface generated by the rev- 

 9 olution of the line CD about AB 



=#*#tQ*&quot;~Q~ t )i 



and the body described by CABDC 



A P 



li. 



But in what manner all I kings treated 

 from (IV) even to here, also may be reached 

 apart from integration, for the sake of brev 

 ity is suppressed. 



It can be demonstrated that the limit of 

 every expression containing the letter i (and 

 BO resting upon the hypothesis that i is given), no] 

 when i increases to infinity, expresses the 

 quantity simply for : (and so for the hypoth 

 esis of no /). i I&quot; indeed the equations do not be 

 come identical. 



But beware lest YOU understand to be sup 

 posed, that the &amp;gt;y&amp;gt;tem itself may be varied 

 (for it is entirely determined in itself and hv 

 it-* It&quot;, ; hut only the hypothesis, which maybe 



