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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 49r, page id 00068124:0097
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.74
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Ls
discerpibilis
Numeus integer
p
tolubilis in duos quadla tos
non integros non aliter prociri potest, niso inveniendo
integrum ex duobus quadratis integris conflatum divi
sibilem per quadratum.
fiet
itaque
de
n + 4
e
a
un
sit
e
s
e
habemus duos quadratas integras
a
C
S
Nem
+
 qu nn
nn+ aqum
Gann
O
Snn
et gaum
intequ
qui conflati in unum debent dare numerum ffnn +ggum
divisibilem per quadratum integrum ganu. seu Numrus
atus multiplicatus per quad ratum debet dort integua s scer pibiem in 2 quad ratos
ia compositum ldulitur, ad
simpliliota
itaque utile esset haberi locum (quiost Acondi
e
gradu
e sou seriem omnium integrorum in quadtasos intequoi
divisibilium, unde excerpantur devisibiles per quadtatum
U
integri divisibiles eu duos quadratos dant seriom secundi gratus, quique
quilibet gradratus cum quolibet alio combinatus dut seriem primo gradus
seu linearem. Ergo emunc combinationes, daut serdem secundi gradus seu
superficialem. Quaerendt get upta communis totius sereo propriptas