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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 124r, page id 00068199:0247
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 125v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=247
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000247.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.77
# 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.

ab
Ho
erit hoc-
quaeritur 
quoD sit
abic ter Vancresa esse quadratum ipsuis Laque + syque. S possit esse a V +pIXy
E erit XZ F yZ + 2Z (py et firt p = 2Z et aB = xZ + yZ
etiam
videamus rursus an a +PX pexu possit etiam esse quadratum ipsius gtru. Esto
trit ap + pxy E~ 49 +hh Xy F rhqexy et av = q9 hhX)-rret p = 2h. 9 = 2Z
aa
AyZg
Ergo ut sit (xZ NyZ = _q + h sxy a erit q- 9Z et aagy 2  Xy = XZ + yZ
th 2
ac
Ih2
tt X
aa.
sad oideo que f Jis fieri rationalem, nam  in valore ipsius y pstist ddividi numerator per nominatorem
Sed hoc est frustraneum nam Numerator potest dividi per nominatorem
et fiet  tsd +g n =
n
9 +2f9
HFmm + ggna+ 2fgmn = (fn F g) Am + gn
nn
XZ + Vay quadrando dabit XZ +ay + 2) a28y quaeritur huius latus
baq Lay pa 2. Tazpy, haius, quod est pp + 49 azxy + 2pqe Tarxis
a
ar
an possit eisse quadratum a
aar
Erit ar = pq et pp + 42aZr9 = XXt ay se P Farxy= px + ay
 24 2 1444
ppq
D= 502 +a
a 11 (00- 31) A. 40 = 3
- 31(.80-11) V