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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18
# Folio 15r, page id 00068231:0029
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ex partibus ejusdem radicis inter se seu ab +ac+ ad+bc+bdr
Haec habetur est enim quantitas cognita radicis ex altatae, sed
ets non alunde haberetur haberetur hinc quia enim onnila
debent evanescere, fit haec summa ex summis horum rectangulorm
ex partibus qjusdem radicis egaequalis smima rectangulom
x ipsis radicibus ita secundus terminus evarescit, ut tertius
terminus evanescat, similiter cogitandum est, eum hoc modo
componi ex summa rectangulorum radicum
et extubus
summi reotam summis rectanguloriam ex partibus ejusde
radicis inter se
aetr et ut evanescat, misus
bet aequari dicto modo, una summa altem composito
exsummis ita ut simul aquentur nihilo. ex his ja
determinatis determinabuntur porro relliqua, ut
sequentes termini etiam coanescant, Et ita
facili salis ratione habebitur resolatio aequalonum
ita ut  si hac methodo sit possibilis necessario
ista vin invenori debeat
Et videntur sempe
pari possu ambulare sumina rectansulorum radicum
et summae test angulorum partium ejusdem radicis,
v. v. v. non etiam se destruunt,
0
V
sed cur in
cogitandumm etiam in plerisus contingere ut summa
non summae sed partes misceantur, ut in irtectangulis
1
sumntrum
a b(a) + ab(B) + ab(c) + ab d) item ab (a) + ab (b)) etc.
ilem ab ((aD. + ab ((B)) et C. quibus si addas ab + ab + abc
rabo
biminum seu summam radicum: itaque ratet exitus spec
sed artificiosa tractatione opus est, ut ora absolvantur
satis compendiose.
quaerenda et ratu, cur non pauciores sufficiant partes quam
qualur, progenerali nesolutione quinti grau, et quando sissi
ciaut