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# Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605)
# Folio 38, page id 1023099829:0088
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=88
# Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000088.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.87
# 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.

38
POTESTAEUM ANMERIOARVM
Deinceps anferendus est numeruss in quarro gradu nempe, 623
Denique auterendus eA numerus 3 in quarto gradu nempe 8I, qua
er lumprus nempe 324. Numeri ergo anterendi, illi lunc, 4104, 2192.4,
625, 324; quorum Cumma elt, 26977, qua ablaca a MumerO, 83521,
Coperest 56544.
Hlocergo residuum continebie Cummam qualicam nempe, 4712, mI: l-
ciplicatam per, 12; d profecto, 4712. per 12 mulciplicara efcic, 56544
Paradisma Facile est construere, hoc aurem sc demonstrabitur.
Frenim, numerus 17 in 4 gradu consticurus qui quidem sic exprimi-
EUE, 27.F aQuaCUE, 17 - 143 Y 14 - 1Y,  7 1Y4. 8, + + 8+ 54 4 5+
Solus enim 17+ Sienum afformationis solum sortitur reliqui autem
afformantur ac necantur.
Sed differentia radicum, 17, 14, est 3, cademque est disterentia ra-
dicum 14, Ir, eadem que radicum _r, 8, ac eriam radicum, 8, 5. Tgitur
ex pramisso lemmare.
174- 24 + XQuaTUE 12, 14 Y54, 14 Y 108, 14 7 81
Sic r44 = ZY4 XQUaTUE 12, 773+ 54, IF F 108, ZY + 87
Sic TZ4 = 8+ XQUATUF 12, 8F 543 8F 108, 8 Y 81
Sic 89 - 5+ XquaCUF 12, 5Y54, 5 F 108, 5F 82
Non interpretor 5+.
Csirur 17 4 aequatur his omnibus.
12, 143 T54, 14 7 108, T4 Y 81
7 12, 113 7 54, TF2 Y 208, IF + 8Y
F 12, 83 754, 82 F 108, 8 + 87
F 12, 5 F 54, 5 F 208, 5F 81
FIoc est mutaro ordine. 27 + xquacur hia
5 + 8 + 21 F r4 mulciplicatis per 108
5 Y 82 Y 11 F 14 mulciplicaris per 54
5. + 8 + 123 7 24 mulciplicaris PeF 12
7 85 F 81 7 8F 7 8F
54.
Ablaris vndique his
7 8 Y 11 F r4 muiriplicaris per 108
5 7 82 + 112 7 14 mulciplicaris per 54
F 81 F 81 F 8F + 81
4.
Remaner 27 4 minus his nempe,
-5 - - 8 - T1- 14 mulciplicatis per 108
5- 8- 11 - r4 mulciplicaris per 54
81- St - 8t - - 82
aequalis 5. Y 8. + 12 Y 24 mulciplicatis Per 12.