BINOMIAL THEOREM. 465 



berSj fo written, are the Radices Locorum of the cubris cubi cubi 

 cubi, of which this is the table. 



Names of the Powers preceding the given Power. 



Numbers 

 oj' Rndices 

 Locorum. 



Latus 



12 



1 



66 





Sftuave 





Cube 



220 





Biquadrate • 



495 





Quadratics cubi 



792 





Cubris cubi 



924 



Quadratics quadrati cubi 



792 





Quadratics cubi cubi 



493 





Cubris cubi cubi 



220 





Quadratics quadrati cubi cubi 



66 





Quadratics cubi cubi cubi 



12 





Hence then this power of every number is equal to the fum of the 

 powers of its two parts, and 12 times each of thefe two parts multiphed 

 into the quadratics cubi cubi cubi of the other ; and 66 times the 

 fquare of each of them iftto the quadratics quadrati cubi cubi of 

 the other ; and 220 times the cubi of each of them into the cubris, 

 cubi cubi of the other ; and 495 times the biquadrate of each of 

 them into the quadratics cubi cubi of the other ; and 792 times the 

 quadratics cubi of each of them into the quadratics quadrati cubi 

 of the other; and 924 times the cubris cubi of one of them into the 

 cubris cubi of the other, and fo of other cafes." 



