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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 106v, page id 00068194:0212
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X + bX + cx + d X+ ex +spg 20
X + _bx rC = 0 videatur
an divelli possit in dans partes utribique
extrahibile
X+ tXF
 addatur utrobique ab ulioque latere
X+ 2IX + 2mX + aluX + um
ulxem
fiet x et debel formulu
hX AsbIX +  +hdx +h ex rtisa H
+x +2l x +EmFs utri
companodi cum
RX + EhAX+ Ehp X + hgX
 hnxt Enpeting
siet bharn seu n= hb. 2 = ra  q
et ch+1Dhp F Lhbb: 4  unde p.
et l= 8 hq + hpb. 2 - td
et m = ng + pp: 2 - hh: 2 = U: 2
restant termini penultimus et inallimus
ubi pro lm, et se substituendo.
valores assurget 4 ad in
aq. termini penultimi assurget 
q ad 49, et h ad
Et perteminu ultimuntollendo 
q assurget denique ad h ad so
Nimitum quaeritur quot modis
dividi possit aquad 6 radicum
per aeg. 3 rabicum, seu sex rerum
quod ternione
ut 20. Sed hoc
terniones  e 3456, loco sunt
ntum 1o
quia qua media tantum pari
ob quadratum reductis omnibus
ad medietatem. At u
Hiuc
sed si a et b primi inter se ee formulae ista ab non
nisi semel in integris exhiberi potest, faciondo a = b =2 a+b
nam si a et b promi inter se tunc etiam ab et e
a +b et a, _itemque arb et b Ergo et a+b et ab sed
aab et tamen ab debet esse divisibilis per atb, ergo ab et atb
sunt aequales. Caeterum ex eo quod a+b et a a et b primi inter se
tA ab: a +bc b primi inter se seu b et e seguatum in
aquatione ab a = bZ: C Z esse divisibilem per e, unde nascitur
calculus praecedensis paginae. qui nos tandem duxit quo debebat
et nolabilis e st hoc alculamd ratio