# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0443
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 421, page id 175905688X:0443
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=443
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000443.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.85
# 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.

in aller
f 11
e
DE REDROTTORE AOUATLONUN. 42F
SEOV EH TES 612, 7MA, PY BVA R ECVL A SP PX-
EEN D V N F AD OMNPS AEOV ATEONFS, OV AE
E X MY LEEPLZCATTONE DY ARY HI A LZ ARYH
PRODYCF POSSYHF, TN OV ARVH YN A TR-
R A FTON ALTS OY ANFIF AS YNOLYDEFYR,
QV AE EN AETER A N ON CONTENF TVR.
YL. RF G V L A,
Quae modum docet reducendi omnem aequationem, quae
produci potest ex multiplicatione duarum aliarum, quarum
na irracionalem aliquam quanticarem comprehendit.
quae in altera non continetur; quaeque quancicas non eundem
dimensionum numerum in diversis Terminis habet.
Suppono, dec.
YII. ER E G V L A,
Duae modum docet reducendi omnem aequationem, quae
produci potest ex multiplicatione duarum aliarum, quarum
una irrationalem aliquam quantitatem comprehendit,
quae in altera non continetur; quaeque quantitas in aliquo
Termino tot habet dimensiones, quot in nullo alio.
Suxpono, eC.
VIII REGV V A
Duae modum docet reducendi omnem aequationem; qua
produci potest ex multiplicatione duarum aliarum, quarum
na ierationalem aliquam quanticarem comprehendit,
quae in altera non continetur.
SuppOnatUE, _C.
Duoniam inter hanc scum ec sciam Reculam, _ InEeF Z mam 8
tam nec non inter Bram _ scam haud magna disparitas exittit, et
antum prolitera poni debet irrarionalis quantitas; erunt hae Resu-
685 3
Ix Deu