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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 437, page id 175905688X:0459
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=459
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000459.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.71
# 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.

mg
Locadice
10
el
erecte
lgat
115C0
a Pcob
2. l
+iibu
43)
lendo jam Per 2 d d73 dc transterendo v ad alteram partems
pbrinebieur
id
-3b)
dd
+
a c
Bec
bbcc
cium aucem exemplum ejuldem est naEuTX cum r mo
∞V.
EIbi paret, in omnibus hisce exemplis Ouxlicum ex POIA PFO.
ducta aequatione uno intuitu inveniri, y enim cognica elt, atquev,
jux erat incognica ac Cola quarebatur, jam eriam innocuie.
AErero saepe eriam accidit, ut Oux situm ex Cola hac Produet2
Zquatione inreniri nequeac; quemadmodum contingit si valo-
rem quancieaeis incognitae sinreltisare relimus. Ouippetunc
valor iplius v in prima aequatione in ejus locum subrovandus est.
vel potius in alia aequatione, per aliam Progrestionem producta,
cujus beneticio ex illa prima terminus aliquis pro lubitu (excepto
c0. qui perrmam progrectionem elt lublacus) colli potelt.
Exempli gratia, in rmo exemplo mulciplicatum Tuit Per 2, T,03
ac indeinrencum v∞y = 3- L =r; Jam limulciplicetur
PeF .
Vy
obtinetur yy
inulE. Per q - Y.
22V. L
Tr 290
900.955
9
∞O
DE RLEDUCTTOHE A OUA TZONUM.
1
∞O
15510
t
1y
tc 5 ∞ V - y7. +
13 + vV.
Duocirca (i in hac aequatione in locum vi Subrosecur ejus ralor,
innocelcet inde eriam quantitas 5.
Eodem modo, mulciplicando in 2d0 exemplo per hanc Pro-
DreCTIOneI 3, 2, F, O, = 1, = 23 = 3, inreniri pocele ralor
quanticatiss. Uibi si similiter in locum vr, ejus ralor substicua-
cur, quancitas sinde innorelcet.
Guodsirero contingae, aequationem, per quam D quaritur,
elle calem, uc ralor iphus r per eandem aequationem solam sine
i
ipsiuo