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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 335r, page id 00068196:0665
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pursus duae supernumerariae sed pria modus simplicio, oldepresporo 
et minorem numerum aquationum
quod si x FX +. X. resolvamus in duos factores. XX +. p et
C
XX + ax. situe ille aequ. 00D, hic aequi )8E. sit rursus
Xe l4 + 126 et O-.. st 2A
et O=: t et 9 -. 16 et
s
AS
X2  1t4 + (76
D=. 1H8 + vrav. fiet OO = P. vr. v+ . v +. v+. v 1O et siliter gG
Aequationes ergo sunt ob partem retirualem 3, ob errationalem 2, summa S, utrumque bis fib 10
Literee nt ob X sunt 6, ob O et 4 sunt 2. ob ) sunt 3, fit 11. Ergo sic
quoque datur exptus, vigetur tamen praeferenda Methodus pagn paragraphi
Maecedentis. Hanc ergo actu ipso fenteraus
possemu et caeteris retentis facere x st + YS
X= P. v+ V st + uv +o 16 sed ita amifferetur 2, quanquam in locum
et
darbitiariarum quas continet, alias sic obtineremus sed illud obstat
quod ita x ascenderet in et rationali parte ad v, in rat irrationali
16)
ad D itaque relentis 0 et e ut ante deferet feri  =. Stio +. D +. D +. B
ita haberemus, b x _ aequationes et OO)L. v +. 1 +. P +. P+. 1 + P 1H et
epaque sipmililer supro De+
fierent artibun  aequationes pro parte rationali 4 pro ircationali 3, summa 7
ut et  quo bis facit 14. literae vero arbitrario forent, quo
ne
ob t et 6 forent 4, ob X forent ad huc 4. Nam ma ibi superfluc de ab
in O et B C n nullae, sed in d)  forent 1. summa,  12. sed ita
numerus est inferior justae. Ergo insistendum Methodo paragraphi
praecedentis, vel ante mraecedentis pro XX X+. x + ux. AL
pros X +. X + . X +. X H, ux. recurcendum est ad superius explicatas.
placet autem quod Methodo hac duarum si solarum irrationalium
pl et 16 sie 3tia 12 nullas successus hic promittetur, nam atioque ui
enim Mehodem diffiderem pro tribus successum promitteroti