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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 499, page id 175905688X:0521
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=521
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.79
# 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.

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DE RE DRCTIOHE A ORATTOVUM. 499
cemin ea a quoque Te 2 tancum dimentiones habet, pocuisset
idem etiam quarendo ralorem ipsius a inveltigari.
Eibinocari porest, quod, ad inveniendas radices alicujus xe qua-
tionis, in qua licera, cujus ralor quaeritur, non plures habet di-
mentiones quam Te 2, vel 2 e 4, vel 3 46, _c. Scirenon lu
necesse, cujulnam illa sequentium Formularum exictat.
X X = a X -  b6∞ O
X X  a X L b6∞ O
XX -( a X  bC∞O
X X  a X -- b6∞ O.
LFenim Polita XX, P X, 93 0, SiP x SatuatUF Pro 2do, X 9proul
cimo termino, erir lemper N ∞ = P 8 V LPP = 9∞ O.
4 FNemplum.
Porro quoniam aequationes omnes quatuor dimentionum re-
duei possune ad aequationes trium dimentionum, et in omnibus
quidem aequationibus secundus terminus tolli pocest, ostenden-
dum Colummodoreltat, quo pacto dirilores aequationis inveniii
queant, in qua incognita quancitas, vel alia quarislitera, qua ut
incoonita consideratur, tantum L e 3 dimensiones habet. In
quem itaque tinem proponatur x quatio x3 ∞ X qX. r.
In quax delignet quanciratem, cujus ralor quaeritur; q de rau-
cem quancicates cum luissignis, quales illae in aequatione repe-
rIUnEUT.
FHtoeciam x ∞ Y. L L
Fricque x3 ∞ y3 F 3Z77- + 3
y + 23∞ 9X = Y.
La hdc decet a quatione tiant jam dux alia, ponendo
Y∞4X,
ctt. fel)Z. AC3L
e y3 + Z3∞r
Vel g3 ∞Y - Z.
D= Y8VLYY- , 93.
a732216 4127suus t
RFF 2