?M% ) 77 ( 



c fin. n — b fm.m -\-b c fin. (« — ;«) : b (in. m 



-cfin.n-t-b c fin. (« - w) - A B Q D : A B P D. 



Quod fi nunc Iinea B D concipiatur producla vsque dum 

 Diametro P Q in T occurrat^ facile perfpicitur fore 



ABQD:ABPDrTQ:TP-fl'+i:fi'-i; 

 pofita linea C T — a 1 . His igitur valoribus introduclis in 

 aequatione noftra Artic. 3 propofita, illa fequentem fatis 

 concinnam adipifcetur formam : 



tang. \y cot. p. -f- tang. \ x cot. i/-i+£ ^. — ? > 

 ex qua cnm ifta tang. \ x tang. \ y — e, combinata, nunc va- 

 lores ipforum x, y elici pofTent. 



§. 8. Multiplicata aequatione noftra per tang. \y, 

 fi breuitatis gratia ponamus i+e ( fl±_L>- 2X; confequemur; 



cot. /x tang. \ y z — 2 X tang. | j = e cot. v ; 

 vnde eolligitur: 



tang. \ y — tang. |jl (A + V (X* — e cot. jm. cot. k) ). 

 Priori valore pro tang. \y accepto, ponatnr 



tang. \j\ zz tang. jjl (X — V (X' — e cot. jjl cot. v)) ; 

 hinc net 



tang . viJl+J) = ^i+i^tiy, = _L>^£_ ; 



1— tang. sj/ tang. \f 1 — e tang. jj.cot. v 

 in qua exprefilone nullae quantitates irrationales occur- 

 runt. Iam ftatuamus 



e cot. v — tang. 7r ; ^=^ . cot. v zr e' cot. v _ tang. n l \ 

 fiet 



K 3 <* 



