^4 55 ) o C (35» 



Sit quilibet exlaftoribus quaefitis i — f z -J- z » , 

 & produftum reliquorum i + a z + bz*+cz'. 



trz"— » + sz ~ » + tz"— *4-sz «-f- rz* + '. 

 bz»" — ^-j-az^^—J-f-z*"— » quod ira compara- 

 tum aflumo, ut termini a medio sequaliter utrinque 

 remoti iisdem coefficientibus afficiantur, quia & 

 quantitas propofita i — qz'* + z^'*& faftor aflura- 

 tus I — t z -f- z * hanc etiam formam habent. Du- 

 cantur faftores in fe invicem, & produGum, quod prodit 



— f z— afz» — bf z' s{z«— « — fcfz* — sfz«+'.— afz««— *— f z » 



4- z«4-a zJ.+rz^—^+s z" + t z^+^+bz»"— "+3^2«— '-f-z»", 



comparatum cum qvantitate propofita i- qz" -f- z" 

 dat t—z^ afzii -f - b, bf z:a-j-c & ita porro, usquc 

 ad sfzzr-f-t; &praeterea tf~2S-|-q. Exhisaequa- 

 tionibus patet, coefficientes afllimtos i, a,b,c. . . , 

 r, s, t feriem conftituere, cujus terminus quilibet 

 cft ad fi^immam duorum ipfi utrinquc vicinorum ut i 

 ad f. quare per notam circuli proprietatem a Vieta 

 in tra£htu de feftionibus angumribus demonftratam , 

 fi in circumferentia circuli A F E B, cujus radius eft i 

 & diameter A B , aptari poteft chorda B F zz f , chordae 

 ^^^^,^^^^ arcuum AF, 2AF, 3AF, 4 

 A F. . , , ^3 AF, A F. 

 ^^^Cr!^^^5- vV "AFproportionales eruntipfis 



I/ J^^^^^^^i^ M ^> • • • • 



Ki^— ^"'"•^ t. fit harum chordarum pri- 



* ma A F, ultima AE, adeo- 



que penultima FE jungaturque B E. Et quo- 

 niam BFXAE=:BAXFE+ AFXBEhoceft, 

 (pro A B & B F fcribcndo ewum valores 2 & f > & 



pro 



