123 === 



ita ut fiimmac quacfitac, ob X(P=:a, fequcnli modo ex- 

 piiniantLU' : 



A /tn . 1 — a//t. ( . — $ ) 



I — i: a cof. (J) -+ a a ' 



B — 



CO . O — (I co/. ( « — i 1 



I — i," a c 5/. ^ t- a a 



Corollarium i. 



§. ",. Qnodfi nunc ftatuainus X=i, ita ut: « rr:(|>, 

 prodibunt fcquentes fuininalioncs iam prideni inventac : 



fin.(|) -h fi fin. 2 M- «= fin. 3 Cj) + etc. 1= ,_,/::;.^.^,, 



cof. Cp -f- a cof. 2 (p 4- n= cof. 3 (I^ -^ etc. — ■ _ ''^-^ - " — 



quac convenient cuni illis quas Eulcrus iain olim in nie- 

 dium protulit {a). 



Corollarium 2I' 

 5. A. Si vcro pbnatur a = i , niancnle angulo a, 



lcu muJti[jlicatorc X, ob 



fin. a — fin. (a — (p) :z= 2 cof. (a — ^ (^) fin. ;[ (J) 

 cof. a — cof. fa — (p) z= 2 fin. (a — ^ (p) fin. i (p 



^blilicbunlur fcqucntcs fiuiunalioncs: 



iin. a H- fin. (a h- (&)-+- fin. (a -+- 2 (p) -^- ctc. = — 1-;^ — -^ 

 ^ V -f/ 2fin.^(p 



fi n r X — ^ ±^ 



cof. a -4- cof. (a -f- (p) -+- cof (a -+- 2 (J^) -f- ctc. = - — '-^ '^l 



2 fin. l (P 



qucmadmodum Eulerus oliin (b) fcalac rcl.itionis opc in- 



vcnc- 



( (1 , \ . ov. Coii.mcir. '!"( III. V. pjg. 202; ncc non Tfm. XVIJI. p-ig. 34. 

 (^J V. Imrod. in >\nal. luf. pag. aitf ct 119. 



