Sicqiie patet quomodo omnes charafl^eres qoaternario notati 

 per iatn cognitos, five binario, five ternario notatos, deter- 

 iTiiaentur; quod quo clarius appareat loco A fiicce(Five fcri- 

 bamus numeros o, i, 2, 3, 4,, etc. ac reperiemus: 



(^,r=(i;(i/-^(^if(^j=(rf-^n., 

 (i;==(lf^2(ir^(^,)\ 



(v*=(iT(t/^(r/'(iy-^(D'(iy-^(ir(i-)\ five- 



("^/-(D^ -.-3/1)^ + 3(1)% 



Q;=(ir(if-^(Xf(l^+(iy(lf-^(^y(^y, 



- (if=(zT('of-^(ir(iy-^(if(i)'Hi)\if-^(i)\iy-^^tc. 



(^^y=:.(^j(iy^(iy(l.y^(iy(iy^(-y(iy^(iy(iy^etc. 

 (i/=(i/(i/+(?niJM^)Xi)^+(i/(|y-^(^/(|y-^(i/(|)Vetc; 



etc, etc 



Evolutio poteftatis quinomialis 



(i—hX-hxx-hx^-i- x^y. 



5. 17; Eius ergo valorem evolufum ita exhibenlusr 

 i + (i/^ + (^)'ac^^(|)^x^-H(^«)'xV(|)^x^-+-etc. 

 ubi eft (^/ — (-!L-/r=:i, atque in^ genere {±.y z=: (-^L-f-^ 

 tuni vcro patet hos valores evanefcere tam cafibus, quibus 

 cft X nutnerus integer negativtis^- quam quibus eft pofitivus 

 maior quam 4. n. 



