Opuscula. 245 
Ob oculos pono scquationes duas 
tl^^ ,(it:Sh.f^iD+Ch,fi)=:D_ySh.^({)^ quse oriuntu? 
" ^ ex diiFerencia* 
ll^ .(Sh.f^|)=nCh.f^~DjfCh.f^ ^ tione quantita» 
Y } 
tum j>Sh.fq),^Gh.f^i!). Cum finguh's conjungo aequatio» 
nem theorematis ductam m — — , nimirum -^— • ( S h . ^ 
4-Gh.^(]p — f^^«Ex hac demosquationem primam ^^^^^ x 
2Sh.^(]3 = — DySh^(|) + f</(|3, Eidem addo pro fignis 
fuperioribus , deroo pro inferioribus fecundam iCh^^cp 
— HzDjCh.fCp-l-^^ip: tandem effe^is neceffariis opera- 
tionibus obcinemus 
^'y^a^.Sh.fa — it — Sh.f^:qi— s Itaque etiam in hypo'» 
; J theli ^ = d«ea« 
5*^/^/9. Ch.f(^=±™Ch.^(j3-h-^ j funt fummatoriaEe 
In his formulis aut folus finus , aut folus cofinus ineftj 
quum in formuhs num. IV. uterque reperiatur ; fed faci- 
le eft per ^equaEionem theorematis introdycere finum 5 au£ 
cofinum , qui deeii . Nam ita difponatur 
Syd<^Sh,^cp =z'-^ySh.^(pzr:-~ySh.^cpzi:'-Y 
Syci^Ch.^(^~:rJjyCh.^cp±~yCh,^(p^''^ 
atqui extheoremate itjj/ S h . ^ ~y G h . ^ , &jy C h . ^ <^ 
■~ r itj S h . ^ <^ ergo faiSa fubftitutiooe io iliis tantum tes^ 
minis , ubi sola / reperitur 5 proverjiet 
Sy d<p, S h»q^~~-^y S h . ^cp^-^y C h , f cp-^»^ — JS 
5*^ fl^ (|) , C h . ^ qD^— ^jS h d:^— ^jGh :ti^-|-l2 
Omiffis terminis conftantibus — , qui includuntur in qow 
ftante addenda in integratione ^ fient 
Syd(p,Sh.^^::^:t:y.['-^Sh,^^^^^Ch.qV)::^'^ 
«yj^^p.Ch. f ( Sh.^(pzt:^'Gh,f 9^ + '^ 
Quum 
