57 S Opuscula. 
Formulam vefo convcrtibilem talem , qualem modo defcr ipfi , 
in trinomia refolves eodem prorfusartificio, quo ufi fumus in ea'» 
fu fuperiori . Finge tibi formulam aliam convertibilem , cujus pri- 
« — } « — j 
mus terminus x ultimus vero -+ a affumtis conftantibus 
ignotis quibuslibet cc^ &c. : hanc multiplica per crinomium 
XX aa 
Formulam , qux ex hac multiplicatione exfiftet, compara cum illa ^ 
quam refolvendam fufcepilh : valoies ordine elice pnmum con- 
ftantium^, &c. : ac tum demum conftantis /: poitremos hofce t 
qui utiqueomnesrealeserunt, transfer in trinomium 
xx-^fx-^aa 
idque convertetur in ea trinomia , qux per fe invicem multiplicata 
propofitam reftituent formulam 
X ax aax ^ a x 8ic. a 
SiuT^ 3, acquatio, unde valores/elicientur , erit /-*- ^ =3 o , 
quamquam in hoc cafu tanto anificio non erit opus ; 
ubi enim diviferis binomium x -+ a per r -+ , quo« 
tus erit illud ipfum trinomium^ quod quatritur. 
Si « :5 5 , erit ff af ^ aa o 
Si » =2 p , erit/ -i-af If^f^ff"* mf -^a z^o 
Si II j erit/ -I- <?/— . i^aaf — ^aff -h ^af a o 
Si »=: 13 , erit/ -^af —> •^aaf -« /^af -t-6aff ^af — . <j — o 
7 <S { 34 4} J 6 
Si » :=j 15 , erit/ -t-af ^ 6aaf 5/?/ lo^/ ^aff'-* ^a f 
^a z^o 
^ !5i/i;:i5 17 , erit/ ^ af "jaaf -i^af^ 15^ / -4- loa f ^ 
678 
lotf^ — . 4^/ -f- -5 o 
9 8 7 j5 4S 54 S 
Si 19, erit/ tf/ — ' 8/z/z/ 7^/ 2irf/ i$af^ loa 
3 7 8 P 
/ — « lo/Zj/f -t- 5/?/-*- o 
. 10 9 8 37 4 < 55 
Si 21 , erit/ ^af gaaf 8«/ 28^ / 21«/-* 
64 7 J 8 p 10 
l^af '•^ioaf i^^aff-^^af^^a 
Sic 
