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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 22
# Folio 4v, page id 00068235:0008
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Si vero initio radix affirmativa major minor
negativa Manebit minor cum affirmativa per
subtractionem augeatur minuatur negativa augeatur
itaque si  fuisset bb + lab aequ maa. e broy 3at C
fieret.
CC + (2) 2aC aequ. + maa
+- l ac 22aa
= lraa
et tantum M p2, l+2
oncludo ejus si sit quemadmodum si sit bbaequ. lab anaa
b.b aequ. et b aequ. 2a +c. fieret
CC + (2) a c aequ+ maa
= l ac - 22 aa
Unde (2) 2 p l.
jam scribamus be
fiet.
+ lraa
et m aequ m + l2 p. 2E
Jam scribamus b aequ 2a + a + d. et substituendo
+bbaque 22 aa + (2) 2aa + (2) 2 a d + a a + (2) ad + dd
lab aequ l2aa + laa + l ad
maa aequ. maa
Ergo si aequatio suit bb aequ lab + maa.
omnia (cordinando siet:
dd + (7ad + 22aa aequ. c
+ (2) 2ad + (2)2 a a
 l ad + aa
eritque (9 + (2) 2 p l.
e
= l2aa
= la a
(2) = m aa
seu 2
(2)
et 22 + (2)2 + 1 p l2 + _ + m
supra autem
4)
 2 
Nota si pa.
erit lx
lidetet esse tinatius.
et m+ l2p22
Ex his determinationibus numerus inveniri pae posse debet ae qualis
ipsi 2.
 determinatio  ucluditur in quarta.
defermumus
si pro 22 ex aequ. 5 subistituatur
la mi determ. 3.
fiet um (top ti (t 2)a a p (t E)C L+ (m)
se
et fiat 2t
 n+ l2
2 l. per  et 4 et 5
seu (4 in + (2) l2 p +2 ergo (9m +() pro quod patet.