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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 41v, page id 00068200:0084
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 40r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.83
# 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.

ma c si mu aequantur quaduto sunt
m. y commensurabiles, vel aequales Quorum nentium
vel nul amro quadrati
similiteri m-g aequatur quadrato
sunt in+g. m-g. vel aequales quod
absindum maan Ergo vel commensunt
vel ambo quadrati. Ergo si m-g et
mu simul quadrati habeturus 4 quadrator
integros: m. 9. m- 9. m+g
seu
9
m g. . m. intg.
et quadint mg
1 autem mee g est duorum quadrulorum
differentia. Ergo vicissun, produdetur ex
emobus quadratis in se invicem ductit et
ita descendendo in infinitum
in +9 - m -- g. seu ema 29 et quadnt
est numerus divisibilis per radaem ub n
summam et differentiam ab intg et radicum ab
in+u et ab m - g.
M+ 9 = m, aequ. g. est divisibilis
etiam lum err summam et differentia
radicum ab in et ab m+g. ergu
C et 2g. sunt divisibiles per numeros diverso
EA  1+ V
quod est absundum
Vmtutem n.
Vm+q + Vm-g, Vm+g - Img
mtg mg 2
mtuss m
Imtu + im, imtus- im
Ergo. +
n
 Ymg
aqu 9
aequ.
M es divisibilis per Im+g 
per  et Vm+ G-9. Eanter m +9  Sn
9