m ) o { & 
207 
= y 2 h, vel p -h q -Kr — § Vlh. Hunc deinde 
valorem in 3 Vpqr 44(p4(?4 0 — 0 fubfti- 
, • h 3 
tuendo, oritur 3 Vpqr 4 i yzh = o 9 vel p^r 
== — — . Ambos tandem hosce valores in exores« 
729 3 
lione iplius (— • g) fubftituendo, emergit V\k ' 1 — 
f Vjhî — 9 (jpq 4 pr 4 îO = — 5 -, feu pq 4 
pr 4 qr = îV (3£ 4* Ï/ 4 Â 3 ). 
Quamvis itaque nondum nec p, nec nec r 
innotuerit; innotuere tamen fumma ex omnibus tri- 
bus, & produ&um ex lingulis binis, una cum fa- 
fto ex lingulis trinis; feu, omnia uni oculorum ad- 
fpeftui fubjiciendo, ut ad calculum præfto lint: 
p4?4r = f i/ 2 Ä, pq-bpr-bqr ~ & (3g + VW} 3 
2 h 
H r = 
729 
5 - 5 - 
Jam vero ex Æquationum do&rina condat, 
quantitates p, y, r esfe très radices Æquationis Cu- 
bi cæ hujus formæ y * — (p 4 q 4 r ) y* -h ( pq 4* 
pr 4 qr) y — p</r = 0; cujus quidem termino- 
rum Coëfficientes jam jam in line §. antecedentis 
innotuere: ergo data eft Æquatio determinans i- 
pfas p, q ? r; unde & hae dabuntur. Hæc Æqua- 
tio, fubftitutis Coefficientium valoribus nuper me- 
moratis, hanc faciem fumit, y $ — f VlH , y* 4 
? 2 
( 3 g -hV 4 h 2 )y 4 — h = 0; & tota quseftio eo 
729 
redit, Redu&ibilemne ad cafum, an ad Irredu&ibi- 
lem* 
