^tf SPECVLATIONES 



§. 28. Tnidlemiis co.iem moJ.) formiiLim ia- 

 teg;ralem gniJus tcrtii , in qua occurrit {! x)' , tri- 

 buendo exponcnti u quauior v;ilores a, (3, y, d , vndc 

 oriuutur fequcntcs acquationcs 



I. /■,4^-.v'=r=iaa/a4-Aaa-4-Ba-f-C 



"• /".;'!--^'^-'Pt^^^-i-APt3^-B(3-|-C 



III. /--^-^-a-^-'yy/y + AYV4-J]YH-C 



IV. /-^-A-^ = :^(J/^4-A<5(J-|-B^H-C. 

 Atque hinc erit primo 



I-.Ur=iaa/a-^f3f3/(3-+-A(aa-(3t3)-L-B(a-(3) 

 \nde fit 



i^3 = ^-pF + A (a + p) + B. 

 Eodciiic)Uc modo crit 



quarum formuhirum difFcrcntia dat 



qua per a — y diuilii prodit 

 (i-n i (ir— n i) — aa;a:^,3.p:p _ /(33;j3_.vvi>) 1. a 



(«-13) K<x—y) (p— 7; a-7; 2;«— ^„«_>j ^ 2>^_v ,a_v/ ^^ 



codemque modo erit 



ai-im _ "J[^il_ — fPt3:(3_— v"WY'> ^ (lVi>— 51L?^4. A 

 ^_y,^^_Tj (>— 5,y_6; — S i^_y (i3-Sj^ . o-i; ^jl-i)/ T'"'»' 



quae p>-)(lrcma a fuperiori fublaca relinquit 



I r I — w ^ _ r «_:lI'L—^ _ ^ " — "t ) j_ f I"— IV ^ — 



l^a-p)3^/ \3-7.(a— »' H|3-y ,1-6)' ^ ^t7-d;,Hl-4) 

 ,.|a_(3|3i(3)x ^ .P^jjLj^V^VJVN p^.S/^r-^j:!!)^-!"^^^^^^'*^ 

 (.TS^.a^/ ^a^3-v.,a-vl' S p-Y; ilTIir'^^ =(7-6)1(3-5^ 



licquc iam omncs ties condaates A, B, C funt cli(ac, 



j. 2.9. 



