S^, DE QFJNTIT. TRANSCENDENT. 

 vnde orltiir ; 



^ ( ' - •^^ a»/g H- a* V ^i a~ff)[a a -_g g) fa a -^yi ff) Qia~m^ g \ 



. •f- a* rnaajf m a .; g g -+- i7i/7g g 



qui cafus ad cifam problem.jtis primi redit , fi modo 

 yertices ^ et B inter fe permutentur , et. loco, abfciira!-- 

 rum applicatae introducantur. 



Coroll. 6. 



Notari quoqne meretur cafus , quo pundum p in' 

 ipfo pundo g aflumitur , ita \t. arcus pq arcui fg fiat 

 contiguus, fitque Arc.fg-Avc.g^--J^Uq-f)obp-g. 

 Cum igitur fit quoque P-G, erit ——j ^lf^-f-^. 

 vnde abfciffi q determinatur, Vel fumta k — ^^'^^ 



----- gF_K/G >. ^""- 



^^Sw^ril — lirr-ftG"- Hinc autem repentur: 



- gg '"igg-fn^ - (a*-_^g*) vpI' 



^ / / • 2FG/g_»_jnan/;-f-?5) 2('n-+-0.'a/fgg-^^.*(gg-j/3^))^'^*^ 



^ — - "a*((a*-"ig+)^-+mr/gg(aa-gg)(aa--,.gg)) Vel. 



2FGg(a*-7ng^ ) ~a*/( )ng*-2«^?gg-Ka* )>'g*-2Tnoa gg-i-a*) 



^ ■ o*(a*«,7.g*)»-+!Ha*/f gg(aa-^^);aa-j/igg) 



Problema ;^.. 



Propofito ellipfis arcu qnocunque fg, a djtOi 

 pundlo p abfcindere arcum p^r^ qui a duplo illius ar 

 cusfg differat quantitate geometrice affignabili 



S o 1 u t i o. 



Ex pundorum f Gt g abfciffis AFn:/; AGrzr^, 

 carumque quantitatibus deriuatiuis F et G , quaeratur 

 primum abfcifla Ali -k = l~^^ z=. "^^-^^ ^ ', vc 

 habeatur 



Arc, akr-Avc.fg:=L^a-. 



Deinde.' 



