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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 77, page id 175905688X:0099
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=99
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000099.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.75
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

1
ae
aven
CCM
emo
ibendu
el
lalem
L. hoc
adiICese
en
2
15
CC, GuaI
iat
1
1
E L B E R I E R F E I 5.
ad rationales sunt reducendi, tam per candem hanc
mulciplicarionem, quam per diverlos aliosmodos, in
rencu latis faciles. Deinde examinando ordine quen
citates omnes, qua ablque tractione ulcimum cerminum
diridere postime, videndum cst, num aligua ex iplIs,
juncta cum quantitate incognita per lignum. f vel-
componeropossitbinomium, quod diridat totam lum.
mam; Id enim si contingat, Problema erit Planum
hoc est, construi porerit regulâ stque circino. Frenim L
auc quancitas cognica hyjus binomii erit radix guaelita;
auE AE quatio, per ipsimm dirisa, 2d duas dimentiones exie
reducta; ica ue deinde r2dix ejs, Per ca, quae primo
libro lunc ostensa, inveniri queac.
Exempli scaciâ, sihrabeatur
0 - 894 - 12.+ 7y = 64 3 O: WIEIMLIS ECTMINUS; qui
est 64 diridi pocest absque Fractione peF 1, 2, 4, 8, 16,
32, ec64. Duarc ordine examinando hanc Equacio
nem, num diridi pollic per aliguod ex binomiis ry - e
aUEyy + 1, 99= 2 aUC9y F 2,97 - 4aIIC99. 1 4, eCC. IM.
venicur diridi poste per gy - 16, hoc. modo:
+ 96 - 89+ - 124 9y = 64 ∞0
3
 8 yt -
4y  i 26
=1694 - 22897
e
9tt 897  4 ∞ O
licipio ab ulcimo termino, e divido -- 64 per - 16, Modus di
ciplico  + Per L gy, ec AC- + 4 γy, GuarC IM LLIIIa per Ds-
diridenda rexono-4y y. Ouippe leribendum lemper mium, quod
eA signum L vel plane contrarium illis quod veodu. illius conti
net radi-
cicur per mulciplicationem. Addendo autem- - 12479 cem
ad  4yy, invenio = +2897, quodrursus dirido per
quaionem