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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 503, page id 175905688X:0525
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CCXX
licur
quad
DL ICL BUOTTONE AB OLATTOHAM. 5O3
ere Termini deticiune. Sic quamris sequens aequario 6 di-
X3 = 2 A X X -  3 a b X -]- 643 ∞0
16abb
DCF ∞3- 2 a X X  4a a X - 4 a 3 ∞O
Product. N, dc.
L 2ab -- 8b3
producinon possic ex duabus aliis, in quarum alteruera unus vel
plures termini deficiunt, si scilicet a ut incoenita quantitas con-
lideretur, pocerie ramen ex duabustalibus produci, si vel a vel b
ut incoonita quantitas consideretur, uc ex aequationibus, ex qui-
busproducta elt, patet; ac proinde aquatio illa Propolita per
ZI Reculam reduci porerie.
Hlic erso hanc Regulam abrumpam, e celeriori in sequenti-
bus oradu ad finem, quem jam dudum desidero, Festinabo.
Diverlas adhuc alias Regulas in Paratu habeo, quas hic Cumul
adjungerem, si non aliquid in fucurum relerrare animus esser: Ni-
mirum inter caterasuna est, per quam omnes irrationales radi-
cestam numeralium, quam liceralium ae quationum inrenio; una
per quam omnes aequationes numerales, quae ex duabus rationa-
libus producipossune, ad ca(dem reduco, non coonitis divilori-
busulcimitermini; item alia, per quam lape licerales aequatio-
resreduco, quaeque in eo consistit, quod unam aut alteram lite-
ram ponam ∞ 0, vel eo alii alicui quantitari, quam libuerit, et
quod hanc aequationem inde relultantem prius reducere conei,
e posteretiam Propoliram per hanc. Exempli loco adjunsam
tranc
RF C V I A H,
Dua omnes rationales aequationes, quae nullas fractiones
continent es reduci possunt, reducuntur, si ponendo unam aue
plures literas D 0, aut ∞ alii quam libuerit quantitati, talis
inde aequario resultet, quae una tantum dimensione minor ex
erreducibilis sit.
Ex. Er. habeatur haec aequatio x. -5 a X X F 6bb X -- 28 abb ∞0,
-9b0 = 943
9aa = 27ab6
imenlionu