O a — a cof. {a. ^ (p) et A a — a fin. (a. -\- <p). 

 Deinde ob angulam L A a — &) crit 



A b rz / fin. w et h b — l cof. u, 

 vnde colligitnr 



OP-xndfcof. (a + Cp)4-/rin,urffcor.(2 — fir^fin.a-f /cd, et 

 PLzrjrrrflCn. (a + ($))4-/cor.w = flfin.a + «Cpcof.a + /. 



f 7. Vires r-^utem corpns L vrgentes fnnt primo 

 eius pondus — L, quod tendit ad quantitatem y augendam, 

 tum vero, ob tenfioncm fili T, fnr(nm vrgetur vi — T cof. cozrT, 

 dextror(um autem vi — T fin. u 1=: T u ; vnde ex princi- 

 piis motus nancircimnr has aequationes; 



d A x_ T co j^ d d y L_— T . 



2 g ii t' L I g d/2 L » 



hinc, pro x et ;- valores fubftitnendo, habebimns has ae- 

 quationes: 



n dd($fin.^-i-l ■j d u — Tu gj. a^^dd^cof^ L — T 



2^df ' ■ L ^sdt'' — ~r~ ' 



ex qna pofieriore inteUigitur, tenfionem T infinite parnm 

 a pondere L difcrepare, quia mcmbrum iJJ^^^ pro in- 



finite paruo efi habendum. Pofito ergo T — L lola aeqna- 

 tio prior nobis rtlinquitur, quae e(l 



— q d d ($ -t- l d d u 



z g d l- 



— — W. 



§. 8. Similcs plane aequationes pro finguh's reli- 

 quis pendulis reperiiuitur. Verum qno omnes has aequa- 

 tiones conrinniores rcddamus, ponamus brcuitatis gratia 



afin.ct—b; a' fm . aJ — b' ■, a"fin.aJ'~b"\Qtc. 



azof.a. — c\ a' cof. x' — e' ; a" cof. a." — e" ; etc, 



M 3 fi 



