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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 300, page id 175905688X:0322
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=322
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.92
# 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.

300
F R A N CESCL a SCHOOTEH
tio x3 ∞ 30OX - 1200, TCUK3 8 OXX = 30OX = 120000, di
vidi nequieper x plus vel minus aliquo numero, ultimum termi-
num 1200 ab (que fractione diridente, quin aliquid post dirisio.
nem supersit, certum est, Problema, quod ad illain reducitur, esse
Solidum. Duo autem pacto inveniantur numeri omnes, datum
numerum ab lque fractione diridentes, manifestum tiet, ubi ex
Stitelio expoluero rationem, inreniendi omnes cujulque numeri
partes aliquotas, quod unum idem que est.
Frenim, li numerus par fuerie, diridendus est per 2, & divilor
relerrandus; tum rurlus, si quoriens est par, diridatur similicer
per 2, _ dirilor relerretur; illudque cam diu concinuetur, donec
perrenistur ad numerum imparem. Ouod si rero numerus eA
impar, rel dirisione jam tacta ad numerum imparem lic perren-
cum diridi debet per 3, si hieri porest, idque tam diu concinuan-
dum, donec proveniat quoriens, qui per z amplius dividinon
POsit. Tum eadem diriliotentanda per 5, 7, FF, 23, 27, 19, d
liumre numerum primum, sire nullam partem. aliquocam praeter
unicatem habentem. Suffecerit aurem id centasse, donec ad doci
numeri radicem quadratam, sive veram, sive rere proximam,
perrencum tuerit: cum ulceriores diritiones superracaneae line
habendae. Jam rero quomodo ex relerratis numeris partes ali
quorx, seu dirilores omnes dati cujus que numeri, inreniantur,
lequentia exempla manifectabune. Ftenim ad inreniendos dirilo.
res omnes numeri 462, dirido 462 per 2, _ Fiuint 23r. Hlinc 2
relerro, d 231 diridoper 3, tiuntque 77, e 3 relerro. P’Oltea
dirilis 77 per 7. hiune Lr, ec 7 relerro. Denique dirido Lr per II,
e hic I, de FT relerro. IInde numeri relerraui erunt 2, 3, 7, _ II.
P quibus dirilores omnes seu parces aliquorx sic inveniuneur.
110 220 33. 66. 77. 154. 232. 462.
Primo ducito 2 in 3, _ producentur 6. Deinde 7 in F, 2, 3, 86,
_ tienc 7, 143 2F, 42. Denique FZ in E, 2, 3, 6, 73 24, 22, e 42.
AenEque XZ, 22, 33,66, 77,154, 231, 462. Ec erunt dirilores
OMNES 2. 2. 3. 6.7.24, 22, 420 X2, 22,33,66,77. 254, 231.