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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 460, page id 175905688X:0482
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=482
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.90
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460
POTT A EH ES TIWDDENET EBTST. I.
d eancum in ultimo cermino concinetur, habens ad
summum 5, _ x plures, nimirum 6 dimentiones) cer-
cum est illam aequationem per x L vel guantitate
quaris rationali acque cognitâ esse indivisibilem; Si
ejuS dimenLIOMHI RUMCFUS SiC minor lemisse numeri
dimentionum incoonitae quanticatis, ad lummum con-
liderati, (uc in eodem exemplo, si loco ultimi termini
b0d 4 + 2b d3 ponacur bc3 d d F 2 b3 d) cerrum est
illam aequationem per X X 1 Vel - quantitate quavis
racionali atque cognitâ indirilibilem existerc. Si ejus
dimentionum numerus sit minor crienre numeri di-
mensionum incognita quantitatis, ad summum consi
derati, cerrum est illam aequationem per x 3. L vel -
ecc. non posse diridi. arque ita pOrro in in FIHITM.
XV RE CV F A.
Si in aequatione Proposit a litera coenita reperiatur, quae
in ultimo termino non concinetur, atque ea divisibilis
sit per X, X X, X3, e∞C. + Vel aliqua quantitate rationa-
li es coenitâ; facile erit beneficio alterius aequationis dictum
divisorem invenire.
UE in hac aequatione
Xs = f∞t + bF 23 = 16BCd Xx   bbcF = DCC dbb∞O
L 1= b6 = 2 bcf
in qua fin ultimo termino non continetur, opus tantum est, ut
omnes quantitates, in quibus faeque multas habet dimensiones
nihilo aequales ponantur, atque porro investizetur utriusque,
inventae scilicet atque Propositae aequationis, communis divisor.
Duocirca polico  fx t f bf ∞ 3 = = bcf x X + = bbcf x ∞0,
Peu -- x3 -- bx X - = bCx  = bbc ∞ 0, invenitur; secundum
Mechodum ance descripram, pro earum communi divilore
Xx. f =bC∞O.