-»■^.1 ) i03 ( i-??*- 



licatio ad exemplLim. Tab. l 



Fig. 2, 



§, 17. Surnamus primo punda A et B, in qui- 

 bus filtirn eft fixnm, in eadem reda hnrizontali cfTe fita ; 

 deinde fmt portiones fili AE, EF. F B^, inter fb aequa- 

 les, ita vt fit b — a er rrr'«; tertio fit in flatn aequili- 

 brii portio media EF liorizontalis, ita vt fir (3 — o ; 

 hinc ergo manente anguUj BAEz: a, fiet angulusy — — a, 

 vnde feqnitur interuailum A B — 2 a cof a ■f a. His pofi' 

 tis aequatio pro (latu aequilibrii dabit 



M cof. a fin. a = N cof a fln. a 

 vnde paret, pondera M et N inter fe effe debere aequa- 

 lia : penduiorum autera longitudines m et n maneant ad- 

 huc indeterminatae. 



§. 1 8. His ergo" conftitutis, valores difTerentialium 

 fequenti modo definientur: 



^ jyj _ M^ fin,. a cof a -j- " ' ^f :!V'"^' " > 



J N zr: - ^4^ fin. a cof. a - " ^ ' ^^JlV""^- "^ . 



Quod fi igitur hi valores in aequatione diffexentiali fupra 

 exhibita fobftituantur , in fingulis terminis occurret fador 

 M/s, quem ergo omittamus,, vnde ifta aequatio fequea- 

 tem induet formam: 



0VX. g co/._a j /ii. «1'«?!^«] {jn, ^ Cof a — ^iJhBl — cof. «'(/?>.? a^- /;«.«) 



<juae eiiolnta abit ia formam fequentem: 



