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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 119r, page id 00068124:0239
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 X+ PX Y9 = 0. pore X- y +h. fiet 7+ 3tis + 3tirys athi =0 mllipicando secundum calculum de mpx. et mininus
fiet  3y + 6hy+ 3h = 0 quae aequatio condivisibilis et  priori. Et ut cgis divisor reperiatur, tam
habentur minima psfidum, debet esse priorius divisibilis et tollendo y quaeanti vator ipsius h. verum tunc, h in 
non minus alte assurget quam
in solci y buec
lova
non ngis quia plnibus modis ex tres aadi quam trbus ex tribus radicibi
e
possnt fieri duae aequalet, aempe sunt a va
et A ipsi c addendo aliquid ad 4, et
judices potest, reddi a ipsi b aequale addendo aliu
ipsi c’addendo aliquid ad B
vel si ad minores addas forte samem ideus
aequatio pro invenienda a longe altius assurus et.
idem est
a manierites
ad
a
alione
ajonon detrahas qua
sisit vy=a XZ - b  yZ.C fit XX = ab: c et simlliter yy - ac: b ex
si lit XyZ = a Xyco = b XJC0 = C yzco = d fiet X3 = abc: d vel si ad observandam reger
homogeneorum fecissem xyZ=a Xylo =6 xjuo = C 970 = d fieret X = a b(3. 16
et sie
an infinitum. Hine porro si tob aequationes ex rectangalis, tatibus composilae quot opr at ut sin
gulorum rectangulorum valor simplicium valor haberi possit eorumque tot etia sint quol literae
semper paoble aequationes habentur pure Generaliter si tot s rectaventa non sint plura
quam lilerae et aut aequationes semper valor cujusque literae purus haberi potest
si sit aequalio, ut a + bx + CX + d∞  = 0. et potatur X +m   sint quatuor
radices a b c fBghH et cujuslibet habebinus f f. g. h. l. et hina
quaives frg +hAd et fg + fh et = C et fghtere = b et fghl = a
jamque ponatur quaelibet harum rudicum constare tribus partibus seu f = m n+p, et g = qtres 
et h = + + v + W et I = KFy+Z habebimus duoderim liveras Eus certa arte
inde certa arte divellendo faciamus ples cotidem aequationesin ut oibus resolutis
orratuo aequad s2igradus, sed in qua solum sint _ Z
Nota s poterimus et
4
2
2