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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 474, page id 175905688X:0496
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=496
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

174 LOM AHHLS HIUDDEMLE BPTST. L.
per aequationem x 3. L y X ∞  Z∞ -+ B∞O,
exictente
2
XZ∞
ph. 2t   hInY, 9h L t in P
B - p9y  9y +
29
+ B- p
Porro ob eandem rationem acque in peaecedentibus
Regulis sequitur y et Z debere eMe inteoras quantitates
racionales.
Acque in hoc ultimo calu, ubi diritio per X 3 L y X X
L ZX Y B200 centanda est, opus tantum est uti diri-
Toribus ultimi Termini qui ejus radicem quadratam
non excedune, nimirum quando aequatio numeralis est;
ac ipsa licerali existence, sutticit uri diriloribus 3 di-
mentionum, acque ex hris duntaxat alcerucro duorum
calium, quorum productum ulcimum Terminum efi-
cit, haud secus ac id in praecedenti Regula pro xequa-
cionibus por dimentionum quoque annocatum fuit.
Dux porro animadrerlio locum etiam obrinet in o.
mnibus aequationibus parium dimentionum, quas di-
videre cencamus per aliam dimidium PEaecedencium
dimensionum numerum habencem.
DEZERMZH AZFO en CASYS.
ev
Ciim 2h - B est ∞00, hoc c(, B3∞ ~, _ h ∞ V C. V:
s. + qVC. V
YC. V
Cum
xit7D et b. d
de
VC.
C
iter