CORrORKU FLEXIBILirM 161 



ifta in puncto S fecundum directioncm ad AB norma- 

 lem Sj c(t applicanda , fumto interuallo FS— £y , hanc 

 ergo vim in directione oppofita Scrapplicatam concipie- 

 mus. Hic quantitates incognitae crgo funt longitudo pcn- 

 duli fimplicis ilbchroni / et pofitio pundli L. 



§ 48. Vircs igitur quibus corpus hoc ofcillans in 

 nequilibrio conferuari dcbct funt primo pondera P et Q_ 

 in directionibus E/ ct ¥m follicitantia , dcinde "vires ^#- e 

 et '^— in dircctionibus R^ ct Scr vrgentes. Momenta 

 ergo harum virium cum refpc&u flcxurae A tum re(pe- 

 <ftu axis O fc inuicem deftruere debebunt. In flexuram 

 A autem agunt vircs ¥m ct Scr, quarum momcnta funt 

 Q_(F/-A«) ct S^.ASzr^CAFH-ii), eritque 

 idco /( F/"- A a )=F/( A F -+- & ). Cum autem fit F/: 

 A« — LF:LA crit /. AF:=:AF.LF-f-i*- In axem 

 O autcm agunt omncs vircs F«, E/, Scr ct R^ : 

 eritquc momcntum vis ¥m~Q_. F/; vis E/m P. Ee * 



vis Scr = a } F/ (OA-t-AS):=^(OA-t-AF-H^); 

 vis R £ = -y- ORzz -j-^ (OE-f- 51 )• Ex his ergo 

 nafcetur acquatio Q.F/+P.E* = ^(OA+A F+ j^) 

 + P -f P (OE+" E ). Cum autcm fit F/:A*=rLF: 

 L A ct A a : E e zz O A : O E crit componendo F/ E t 

 = OA.LF:OE.LA: critque ideo Q.OA.LF./-4-P. 

 OE. LA./=QOA r .LF-i-Q.OA.AF.LF4-Q. OA. 

 *i-t-P.OE*.LA+P.LA.i&/&. 



§. 49. Ponamus OA ~ a \ OEzra; ABz=£ ; 



AFzzp ; et OL— a- crit ob angulos ad O ct L mi- 



nimos , AL — a— x ; LFzr #-f-p — x: qui valorcs in 



Tom. XUL X pri- 



