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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 123r, page id 00068198:0245
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debet ergo 3 seu V- 2a + b + c = Ab - a +f, aac fieri aequalis rationali
saltem ut indeterminata vinculo liberetur. Quod ut fiat com–
pendiosius fit -2a + b+ c =C, et -a - c = g et ex 19 per 24, 25. fiet
13
e
= te et b - a = d. Et ex 19 vel 23. per 24, 25, 26 fiet
H eg Ve+ grd+f= rational.  videamus primum
an ex e+ gVd+F possit educi radix.
at
AC+S Imenrc ap+sc quadretur
fiet: m + p + 2 emp m + Sc. + m + 2mSC
sit mm+c= e et ommnu
et amminc = 99a +99f
d
+4
fit c= e- mm  = ggd +99f: 4 mni
seu remm-mt = g99 d+f. ita nihil tucramur
itaque alia superest via, ut faciamus dF rationalam
et deinde e+g Sd+ etiam rationalem. Ergo d + f aequandus
quadrato dF = (B+ 2f v + vv. fit f= d - vv, : 2V et fier
Ca df = F + V = d + VV, : 2V. et
debet
jam  qvv tCV +9d,: 2Y aequari quadrato, seu
290 + ge vV + 29dV aequai debetqpadhato quod
Redivimus ergo in gibem, nam hoc aeque difficile est, ac quod
initio proposueramus.
si faciamus.
29V3 + 4CvV + gdV = vveoco fi 
fit 29VV + 4 ev + gd = vcoco. sed si hinc velimus indagare
rer reperietur extrahendam esse radicem quadraticam
ex formula, in qua cd ascendit ad cot.
ve + qua+ =  ext e + grd+ = 
B
hoc examicam
a  4ee= 99d + g9f-40 v2Ve +eC
dc
hinc siee = gud sit gf - Fip2C, atque eo casu solutio
in rationatibus rcedit. Scil. debet esse 13- 2a + b + C = a = c b-
seu qaa = 4ab - NaC + bb F 2bc +Cc = ab - aa - bc - ac
seu ca + bb + CC + 3bC (∞ = 5ab +ZaC
la
t:
addSuB + 2BB +2CB +GbB (5aB) + 5aB p An sic res
aucta
cadice per
el
3, seu puo x posilo y+B
a C
e
els bC
5 et
3e
s
cietur.