4G4 AlOVSII CASI^ELLI 



(1)(1). (2)(2), (3)(3), (4)(-l), (5)(3) 



(1)(2), (2)(3), (3)(4), (-IKS), 



(1)(3), (2)(4), (3)'.5), 



(1)(4), (2)(5), 



(1)(5), 



Cum aulem sit F coefficiens sexlus , ejus termini secumli cruni 



(3)(3) 

 -^^-(2)(4),-(1)(5) 



Ad iuvcnioudos torminos tertios cujnscumque coefficienlis 

 inultipliccnlur inviceni expressiones (1)^ (2), (3), (4), clc. ter- 

 ms suniptis, nou ommissis conibinaiionibus in quibus idem 

 factor bis vel ter conlineuir, combinalionilnis scilicet formae 

 (&)(§')(^0' (s)(S')fe)- ll'^rum productorum ca relineantur in qui- 

 Ijus summa uumerorum, qui inter parentheses sunt clausi, ae- 

 <{uat indicem coeflicieulis ; erunt haec producla ejus termini 

 terlii signo non mutato , atquc divisis per 2 illis quorum for- 

 ma est (§')(§■)(/*) ; per 2 . 3 iliis quorum forma est {g){g){g') ■ 



Sic ad inveaiendos terminos tertios coeflicieutis F ductis in- 

 viceni factoribus (1 ), (2), (3), (4) ternis sumplis , et norma pre- 

 scripta, erunt producta. 



(1)0X1), (2)(2)(1), (3)(3)(1), (4)(4)(1), (1)(2X3) 

 (1)(1)C2), (2)(2)(2), (3)(3)(2), (4)(4)(2), (1)(2)(4) 

 (1a1)(3), (2)(2)(3), (3)(3)(3), (4X4X3), (1X3)(4) 

 (1)(1)(4), (2)(2X4), (3X3)(4), (4)(4)(4), (2)(3X4) 

 Cum F sit coefficiens sextus ejus termini terlii erunt 



'iKl)M,„X2)(3,,<^ 



Ad inveniendos terminos quartos cujuscumque coefficientis 

 midtiplicentur inviccm expressiones (i), (2), (3), (4) etc. qua- 

 lernis sumptis , non ommissis combinationibus in quibus factor 

 ({uicumque bis , ter, quater continetur, combinationibus scilicet 



formis C?)fe)(A)(0, {g)(gXm, mXsW AsXgXfdis) ■ Ex 

 hisce productis ea retineantur in quibus aggrcgatum numerorum, 

 qui inter parentheses clausi sunt, aequat indicem coefficientis; 



