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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 35r, page id 00068010:0069
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e
formulat.
communis dvisor.
Maximus
Ponendo  vel fingendo formulam esse
aequationem manigistue (hoc enim temper
fingi potestu, licet radices forte habeat impossi
biles) patet divisorem formulae esse vel radicem
vel certe redie novam aequationem radices
aliquas continentem. Hinc si duae formulae
habeant divisorem communem, utique
habemt et radices quasdam communes.
Modus inveniendi communem divisorem
optimus mia sententia hic esse potest
sint due aequationes:
a + bX + Cx +d x + CX et
et l + X + nx + pXh + qXt etc
assumatur alia.
aequ. 0.
C2)
aqu. 0
D+2X + 3∞ + 9X +5X er aequ.d
quae multiplicetur per duas diversas
4
10 +MX + 13X + 14X 115X etc. aequ.0
et 21+ 22 X +23X +24∞, 25 etc. aqu0
proceloet ex 3 et 4 productuo (6)
et ex 20t5 producetur (7
comperando qe form.
cum aego et form cum aequ. 2 sed
quoniam tihilominu aostea tentan
tum est ieu permemumerationes