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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 459, page id 175905688X:0481
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=481
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000481.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

aum de
 none
quamin
1XX, 1X, 
cuissen
e
ddDeCe
esC
illa non
DE RE DLCTTOHE A OUATTONAM. 459
in qua dd lemel duntaxat repericur, duas habens di-
mensiones) aequatio semper indirisibilis exit per X, aue
X X, eC.  vel - quancitate quaris cognitâ aequera-
tionali.
XIII ZECVF A.
Si pluries in RgatIONC PFOPOSITA repCriatur liceTA
coenica, quae in ultimo termino non contineatur: si illa ubi-
quo eodem ligno. L vel - sit adfecta, ac per incogni-
tam quantitarem, impares ubique aut ubique pares di-
mensiones habentem, mulciplicata: xguatio illa Cem.-
per indirilibilis erit per x- f vel , vel peF XX, X3, _C,
quantitare quaris cognita aequerationali. ut hxec A-
quatio x + F +6∞ 3 = d d x x - F 4bbc~ L b+ ∞0, in
2 bba
qua c bis tantum reperitur adfecta signo f, ac mulei-
plicata per x unius ex erium dimentionum. aut haec
∞ = a X = Cfx +  63 X3 C+ XX dd66a X  C3d3 ∞O,
+ b dd - ada + daf + a3 bb
ubia cer invenitur adlecta ubique ligno; aut b bis si-
onot; ac ducta utraque in x, ubique habentem di-
mensiones impares: aut in qua etiam f bis reperitur
adfecta signo L, ac ducta in x, ubique pares dimentio-
nes habentem.
XIV.RF C Y F A.
Si i aguacton Propolita reperiatur licera cognica,
quae in nullo alio quam in ultimo termino contineatur: _ ejus
dimensionum numerus sE minor numero dimensio-
num incoonitae quantitatis, ad summum contiderato,
(uC in haC x- bbx+ + b36 ∞ X + bcd  ∞ O, I1 qua
u bbcc  2bd
AAM Mm 2
a TatI