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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 303r, page id 00068201:0605
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ata aequatione quacunque
 cujus radisux
in proposita quantitas cognita
sit nra quaenitur an
sit x+a
divisor scilicet altimi Termini sit
quantitatem ieam ta
Tadix aequationis ita sivi poterit. Diviso per eum (ultimo termino, quotiens
detrahatur a penultimo. residnum iterum debet dividi posse per proposita in quan
titatem; hoc quotiens detrahatur ab antepenultimo, resi duum adhuc
eocu sibe alima ebes veat dodito cum
dividi debet per quantitatem eaudem et ptaponro. Et generalitem
verbigratia Pravin est vera sobtractio cum falsat
unqua sit aequatio d
X X +ZX +
XX
X.
-8x - 12
1+2XF +3X
C L
pem a es
e
tentetur an aequatio dividi possit per
12 per 4 fit +3.
Xx + x +um
X 4 W
+ CXX + nm X
+
2XX SX = 124C
. Ergo dividendo
e auferatur a 5.
+ nXX + Lnx +mmn
lygrat. Quaeritur an possit
restat
X = 2XX - 5X - 12 aequ.0 dividiper - 4
posito scilicet +a esse aequ. 4 y. dividatur = 12 per -4 prodit +3.
tenniao penul timo
detrahatur +3 dec
restat - 8. qui numerus rarsus dividi potest per  4.
a
et quotiens est = 2. Is detraratur, de terminorante penultimo = 2, fit - 4.
qui divisus per 4. dat. I. ut notobile est ultimum dividendum
Cum scilicet perdenietur ad terminum secundum esse radici aequalem-
 su
=27
G)