# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0096
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 74, page id 175905688X:0096
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=96
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000096.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.81
# 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.

uo pacto
fiat ui falsae
EF E O H E Y R I X
ubi poltquam innocuie valor iptius Z, addendo ipsi = a.
habebitur valor radicis x.
Alterum, quod hic postea usim aliquem habebie,
radices F. CA, quod, dum augetur ralor verarum radicum, quan-
quarionis Titate majore aliqua ex tals, radices omnes veca lem-
edadant
Vera, nec
per hieri possine, ita ut non habeancur duo Liona -L, auE
camen vera duo ligna , qua se inricem seguanEUE; _L iN SUPCF, UF
fanifalsa. Quantitas cognita tertii termini quadrato lemissis sc-
cundi major sic. Nam licet id fat, etiam  Fala Fadices.
incoonita linc; tamen Facile est de illarum magnitudi-
ne praeterpropter judicare, atque quantitatem aliquam
aumere, quae iplas in caneum vel plus Luperet, quan-
cum ad efectum huncreguirituE.
VE lihabeatur
26 +- B 25 = 6n n ∞ + - f - 36 73 ∞ 3  216 n+ ∞ 2 - f 129615 1  797616 ∞ 03
Caciendo y - 6n DN, invenicEur
15 F. 54Onn7 -432013=
= 30n n Cy4 + - 360n3
61nd + 144. 33
+. 3613
+ 19440 nt)
2160n+
 129614
64874
2167+)
4665615
 64001
1y + 5184725
 388875
 259215
+. 1296n5)
46656t
 7776n
7776 5t
7776n
7776∞
16 351 5 504 n B 94 = 3780n3 y3 + 1512OnF yy = 2721615 y  ∞ O.
Vbimanifestum eAt, quod 504 nn (quantitas cognita
cerrii termini) major sic quadraco a 3 n (semisle quan-
titatis cognitx secundi termini.) Negucullus alius est
calus, in quo guantitas, qua vera radices augentur, 2d
hoc efficiendum, ratione carum quae datxe lune, ajor
reguirItUE.
Duoniam autem ultimus cerminus hic nullus repe.
ritur, si id quidem non delideretur, augendus est adhue
aliquantillo valor radicum, quod lane tam parum esle
non porest, quin id ad effectum humc sc latis.
Eodem modosi angere relimus dimentionum numes
u alicujus quationis, e tacere ut loca omnia ter-
iHO.
+ 1Ss
96 - 361 7
Duomodo
faciendum
Sit. ut loca
omniae
Ae
l
M
1d
la
qu
pe
ael