57^ Opuscula. 
Formulam vero convertibilem talem, qualera modo defcripfi , 
in trinomia refolves eodem prorfus artificio, quo ufi fumus in ca- 
fu fuperiori . Finge tibi formulam aliam convertibilem , cuius pri. 
mus terminus at'*'"^ ultimus vero H- ci"^^ alTumtis conftantibus 
ignotis quibuslibet cc &c. : hanc multiplica per trinomium 
XX -f- jx 
Formulam , quse ex hac muitiplicatione ex(if!et , compara cum illa , 
quam refolvendam fufcepiiH : valores ordine elice primum con- 
ftantium^, &c. : ac tum demum conftantis/: pofiiremos hofcej 
qui utique omnes reales erunt , transfer iti trinomium 
XX fx -T- aa 
idque convertetur in ea trinomia , quae per fe invicem multiplicata 
propofitam reftituent formulam 
X — ax -f- aax — a x &c, -f- a 
Si » 3 , aequatio , unde valores / elicientur , eih f -h a — o ^ 
quamquam in hoc cafu tanto artificio non erit opus ; 
ubi enim diviferis binomium x^ -h- a^ per x a, quo- 
tus erit illud ipfum trinomium , quod quaeritur . 
Si ^ = 5» critjf-{-uf— aa=o 
3 3 
Si ^ — 7, ciit f-haff — laaf — ^=0 
Si = 9, erit/ 4- af — ^aaff — 2af-\- a =:o 
. J 4 33 4 j 
Si /2 = II , erit/ -{- af — ^aaf — 3^/"+ 3^/+ ^ = o 
_. . / s 4334 J <5 
Si 13 , erit/ -f- af — ^aaf — 4^/ Sajf-}- ^af — a :=z o 
.7 6 S34 45 5 <s 
Si 15 , erit/ -f- ^/ — 6aaf — '^af -H lo^ /-h — 4^ / 
7 
— a — o 
8 7 * 3? 44 5J 
Si » 17» erit/ -f- ^/ — 7^^/ ^^/ -h i^af -I- io«?/ — 
678 
10^^ — ^af -h a — o 
98 7}<« 4S {^'S 
li a =: 19, erit/ -H af — Saaf — "^af^iiaf-^- i^^af — loa 
37 89 
/ — loaff -f- saf -h a — o 
Si a z= 2 1 , erit/ H- /s/ — 9/7/?/ — ^af i^af -V- 2ia f — 
Z^idf — loaf -f- 15^/4-5/? /— = o 
Sic 
