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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 14
# Folio 8v, page id 00068227:0016
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inestigare duamm quantitatum divisores communi numo dato, numero differente
sit 15da = Cx. 28aa = mx + gam. fil X = 1saa : l = 28aa = tam s: m
fint 15am + aml = 28 al. hinc e a est unitas. ergo M est divisibilis per 4, et
fial m= an, et fiet 15. 4am
am Cal
15~  2.7 4 l fiC FG
2. 7 an + an  et ul =7 al Ergo  n +l divisibilis per
Cum iptur sit
 divisor ipsius 28 divisibilis per 4 eut m - 4, et n = + et dividendo per 4 fiet
2. 4an + 3an + 4nt = 4al + 3al, Ergo l - n divisib. per 4 et nt - l divisib. per 3 so
sed si duior
+ adb
si divisorm differentio sit solum dato numero divis bilis
=l
=M hoc dip cilius: e b = lX aaC = a X m + e mn
aac
ax + eM
eta
aabm = aact = eliun
X = (ab 3l = aaC = emn, : an, et fiet
c= eftag b = eh + K
=a efl + aagl) = elmn, ergo si Km - gl debent esse
divisibiles per C. porro K et g sunt minires quam e
X. 3AG
an + 4p
L sal Lha
hac sntsult MC gal +al
urgo neal dibis. pur
s