219 



ternorum contiguorum productis abcdzz(l), bcdezz(2)j 

 cdef rz: (3), etc. 



S o 1 u t i o. 

 Hic igitur termini ordinum a, b, c, d, ita procèdent : 



(O (*)(6) _ (0(6)(«o) 



a ' f/ <7>» a ÔT(ô' a TôlFKi7' etc ' 



h h <i> /) <lH- 7) A < i)( 7>(") rf.» 

 U > y (O ' (0(6) ' "Xa)<6)<io) ' elC - 



e c <i> c <i>J!> c <4)(8)OQ 



' (3) ' (3) (7) ' G) (7)0 ' l 

 J J <Û ^7<ll<9) > <4Ô(9)( '3) ^ 



°> a ( 4 )' "(4) (8) ' "(0(8M'0' Ct< " 



eorumque postremi erunt : 



(O (6) (.o) (, 4 ) ( 4 n -4- Q __; a A 



(') (5) (9) ("3) (4 1 + 



(Q ( 7 ) (n) OQ ( 4 n H- 3) 



(a; (6) (m) (14) (471 -r- 2) 



(4) (3) (.6) ( 4 n -f- 4) 



(3) (7) <»0 ('>) - - - - (+1 •+ 3) 



(5) (^ ('0 <'7) (4«-l-5) 



zz cC ; 

 ZZ ^/D, 



(4) (8) 00 ('O (471-4-4) 



quorum sequens in ordine a erit aPz:^— r. Prout igitur iste 

 factor p zz £±ZL±_i> fucrit unitati aequalis , vel secus , utrumque ca- 

 sum seorsim evolvemus. 



C a s u s I. 



Sit p — i , erit ak zz bB zz cC zz dD, ideoque 6 ZZ ^p ( 



_ a A j a A 



* — ë" ' d = D" ' C1 'g° 



abcd ZZ (1) ZZ ^, 

 unde adipiscimur 



Cum igitur sit 



T>p n (41-+ 5) ., k % __ (41- T-O* 



^^ — <4T+7) ct A — Ui + .)3 » 



28*= 



