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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 15
# Folio 2r, page id 00068319:0003
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Propis si summa et differentia ecrundem
ntegeo
communem
duorum. numerorum habeant eandem mensu
aliam a bingino
ram, ipsi due nunieri habebunt eandem
communem mensuram.
Nam si summa et differentia habent communem
mensuram, otiam summa ex summa et differ
rentia, id est duplum numeri majoris habebit
eandem communem mensuram. Itemque
differentia summae et differentiae, id est duplum
numeri majoris. Iaque duplum numeri
majoris, et duplum numeri minoris ac
mensura sit proinde ipsi duo numei, eandem communem
ario
mensuram habent
In Triauocile
rectangulo
numeris integri Omnibus in supra posotis
Prep
iumiueris seueper aliquod utrumgie
 ut
latus circa rectum, quadratiis esse
non potest
in numeris
in omni triangulo rectangulo Hypotenusa
est summa duorum quadratorum, et aliquod
latus circa rectum est eorundem differentia
quemadmodum ab aliis ostensum est. Ajo
id latus circa rectum non posse esse qua
dratum Nam differentia duorum quadratorum
fit ex summa et differentia _Radicum in
se sinvicem ductis, ut notum est. Omna autam
quadatum fit ex duobus factoribus  ac proinde
haec somma et haec differentia radicum sunt
commensurabiles
rop. Duorum numerorum imparium summa
tadogu
ex ipsis
1
s
a
communis