# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068269:0013
# Permalink to this reading: https://leibnizlegible.com/page/00068269:0013?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 20
# Folio 7r, page id 00068269:0013
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068269&page=13
# Source image: https://digitale-sammlungen.gwlb.de/content/00068269/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.91
# 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.

Invenire.
Triangulum rectan
gulum in numeris cujus area
Sit
 quadratus
7o problema esse impossibile. quod sic
demon . Ex variis autem demonstrationibus
hanc velut previssimam eligo.
Prap. L si potentiam aliqua per formulam
literatum exip potest, etiam latus ejus rationale
per formutam ateratem exprimo potest.
auctus vel
Prop. 2. Cubus latere muitatus non
potest esse quadratus
auctus vel
cubus latere multatus est
mf m
ajo hanc formutam non posse ex primere
quadratum. Quia nulla dari potest formula
vel quantitas
quae exprimat hujus quadrati latus, quod
sic ostendo. Illa fonasac cex quanti
tas utique exprimeretur etiam per literam
n nea, nam quia pole quadratum per eam
exprimitur latus autem ex sato quadrato inveniri
posse debet n etiam quadratum litera in
latue ingredieturs. Sed literam M latus
11
ingredi non posse sic ostendo, quia nec
ipsa m simpliciter neque ipsa aliqua ejus
potentia latus ingredi potest, alioqui ipsius
mn vel potentiae ejus quad ratum verbi
gratia m. m, mo ind idem em etium
quadratum lateris, mm ingrederetur
quod falsum esse patet. Itaque mim
non potest esse quadratus.
X+1. non
et quadratus
esse nequillcum
mner esse
possit.
majore ergo
cautione opus
est parulogist
flegorii
fere quad
+vig. M. Mi.
M3. m
lun