tiiius integrale erga efle debet t£i=^£li^;^, quod tm- 

 tanti mox patebit. Niillum autem eft dubium , quin ifte 

 ca(us , fi probe perpendatur, largum campum fit aperturus 

 huiusmodi inueftigatione& adcuratius excolendi,. 



f. 33. Soliitio' autem iftius^ problematis elegantius. 

 fequenti modo adornari poted:.. Cum fit Q^~y, erit 

 Oqzz~V((;c~(^q)y fimilique modo ob R J — j erit 

 O s — ~ y {a a — s /] j, quare cu^m^ inter q et x iltainuentai 

 fit aequatio: 



f — ^m eritr 



ccss{aa — q<(g)— acs qq [a a— s s) ideoque 



aq 



{\ne '^'^ 5J. — ?-? 0-'? 



■)/[aa—ii) • V(cc— ^g) ' a os c O 5 ' 



Hinc fi duci intelligjmtur redae O Q et O R et vocentur 

 anguli A O Q r: Cl^ et C O R - v|>, erit '^ tang. \|^ = ^ ^^"g- ^^ 

 Cue hi anguli ita funt comparati, vtfit tang. v}.': tang..Cpz:a^:f^3, 

 licque ex anguLo cp pro lubitu. afTumto facile definitur 

 augulus v|/. 



§. 34, Deinde cum inuenta-fit arcuum differentiai 



CR- _ A O {aa~cc)'q^/{cc —qq) „U 

 ^ ^ V.— cV(c^ + {aa-ccT^' "'^ 



y(^' + (««'-<^^)^9)=^ erit 



CK-XQ_-^^^^^^^^^-^y{Ci:-qq)-fjy{cc-qqy 



_ sV(cc- i7q) _ £VJ_fl_rr-J£) _ „ ^ / V (cc-9 ?)_ V(°°-!iJ J|; 



<juae expreflio ob tang. (J) =: 77^.^-57-) ^t tang.. vj^ - j^^j~)^ 

 ad hanc formam. reducitur: qs {'^-"'-^) »■ 



DE 



