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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 484, page id 175905688X:0506
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=506
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484 LOF A N N IS TIUDDENIS CPTST. I.
Excepeo tantum, cum = est D h, ac limulr Dhp, id est,
h∞ BVS. e h∞=, tunc enim dirilibilis exit per
XX + p8 V +pP. F 2h - g, IN X, + B∞O.
ubi patet snunquam esse posse hh, nilisquadratum
Tuerie, acr per p diridi possit.
2. Sufticit etiam illos lolum divilores ultimi termini,
qui iplius radicem quadratam non excedunt, conside.
FaTC, ECC.
Exempli gratia, examinaturus hanc ae quationem
X =  2 a X 3.  2 a a X X  2 a 3X -- a  ∞ O:
66
quoniam p ∞  2 a, 9 ∞ 2 a a - - c6, r ∞ = 2 a3, s∞ ar, hinc erie
pmB
 2 a 3 + 2 aB
XX  5   f B∞ ∞ X a B X  B∞O.
Sunt aurem dirisores ultimi Termini, seu ralores ip(iuSB, F A A et
uaa. Unde lumendo b∞ aa, obtinebitur B ∞ 0, aC etiaM
= 2 a3 - + 2 a b∞o 0 (hoc est, = D h, de Simulr ∞ hp.) ac proinde
centanda erit dirisio Per x x  = P X B V = PP + 2B - g, X, L B
5O, hoc CA, PCT XX ax  V aa- L 66, X, -  a a ∞ 0, vel peF
3 X - a X - V a a +66, X,  f a a ∞ O: Oux dirisIO DET UETAI-
que succedit.
Ita etiam se res habet in
REGVLA PRO A QYA TEONLDYS SQUE DLMEN.
STO N V N.
Si enim aequario Propolica 5 dimentionum divilibi.
lis sic per aliam plures quam unam dimentionem ha-
bencem, in qua nullus terminus deficiat, cujusque ul-
cimus terminus sic rationalis; eric ea divisibilis per
N.Xm
e
2P B V tBFjeci m g.  B. L y, i1 N, f B∞0.
&
qua
hys
et pe