(III) 



aeqiiationibiis I, IT, 111 et IV. deriuamus has formulas: (i,i) 

 = 1J:; (1,2) = *^; (I, 3) = *-^ i (I, +) = ^. Ex his ve- 

 ro vnloribus per aequationes VI, XetXIII, colligimus (3,5) 

 — 1|; (4, 4)r=^ et (5,3)z=:i|,- vbi notafle iuuabit eun- 



dem valorem pro (5,3) prodiifle ex aequationibus VI et XIIT. 

 Ex reliquis autem aequationibus VII, VIII et IX, nihil con- 

 chidere h'cet , vnde iltae quatuor formulae: (2, 2) j (2, 3) j 

 (5, 4) et (5, 5) , nobis ctiamnunc manent incognitae. 



§. 43. Recurrere ergo coadi fumus ad aequationes prae- 

 cedentium claffium , quippe quae aeque ad noftrum ordincm 

 perfinent atque aequationes cladis quintae; hanc ob rem fl- 

 mili modo aequationes claflis quartae hic apponamus et ad 110- 

 ftrum cafum applicemus : 



F. (i,5)(<J, i) = (i, i)(2, 5) 



m (i,5)(6, 2) = (i,2)(3,5; 



111°. (i,5)(6, 3)==(i,3)(4, 5y 



VP. (1,5) (6, 4) = (1,4-) (5, 5) 



V°. (2,4)(6, i):=(2, i)(3,4) 



VF. (2, 4) (6,2; zzr (2, 2) (4, 4, 



VIP. (2, 4) (6, 3)1= (2, 3) (5,+) 



VIIP. (3, 3) (6,1; = (3,0 C+, 3) 



1X°. (3, 3) (6, 2) = (3, 2) (5. 3) 



X°. (4, 2) ((5,1) = (4,1; (5, 2) 



PA =(i, I) 

 P (6, 2) =r (I, 2) (3, 5) 

 P (6, 3) = (1,3) (+,5) 

 P (6,4) — (1,4) (5,5) 

 QA =(2,x)C 

 Q ((5, 2) r= (2, 2) (4, 4) 



QC6,3) = (::,3) r5,4) 

 RA =(3, I) C 

 Rr6, 2) — (3,2) (5,3) 



QA 



:4, 1) B. 



§. 44. Ex aequationibus I, V, VIII et X immediate 



conchidimus has formulas: (i, i) =: ^:*;' (2, r) r ?-l; (3, i) = li ■ 



(4,^) = ^, quos autem valorcs iam ante adepti fumus. Se- 

 cunda acquatio, fi formuiae iam iiiucntae fubflituantur, praebct 

 acquationcm idcnticam. Ex tcrtia autem porcrimus dcfinire 



formu- 



