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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 189r, page id 00067993:0379
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e equationibus ad circulum inveniendis utmm ductarum
2
pation
pait hic boni, nisi method
nec in se niricem ductarum
Omnis Aequadio duarum incognitatuum; iultra quadratum non assurgentium, 
de invictum est ad circulum, in qua utriusque quadrati incogniti
meadem affectio est. Videamus ergo quatenus dato aequatio duarum
eradratica
incognitarum commatari possit in aequationem ad irculum
Ay (7
Ponumus
um Iintelligatur
eq. (5
+W  en + 27 B
lL
d te
V ret prur
eab _ d Aeu (1)
e a
et
I
nl sive u olna, aeproinde ZH
Nt pm
Het poeripumn yniadod  +.  
a +n
aut s
nostea
one Y mp  a + empa + ins sG
daner lon
A ter 16) etcu()
X
s, 5.
 hadem opera effeci potinit facile ut et homaepeus sollene apponendo SII + p+ S 
talude erit elligi pateat omnem aequationem Quadraticam uduarum
incognitarum revocari posse ad Aequationem ad Circulum. Semper
enium Nam Rectangulum ex duabus incognitis e tolli potest quo facto ad
formunie aequationis 1. revocata est aequatio proposita.
Unum necesse est, ut h, dderquantitas vera sive nihilo major,
quod si non sit facile potest obtineri
Videamus jam an et quatenus duabus datis aequationibus loduarum incognitarum
earundem, duae possunt haberi aequationes ad circulum ut problema
reddatu planum esse ostendatur  Posito Ergo
conamus
oduarum in duabus aequationibus repertarum facta, ex una quidem
prodiisse aequationem 5. ad circulum, ex altera aequasionem
sequentem N +
1 eteg. 7.
Multiplicata uasu seqaratium tam 63 pdam 7. separatim per
quandam nobiduriam, t (i
aequatio sequens: t ygost X
Aeque (8)
a
+m p..
ex
(3, pit
1
ac postea componendo fiet
inoe ZX
+anpe 
+ CoY 1
Pn
+y
isfet
oamus gan (9) este (exsml en + , quod ad aequationem ad cratur
habendum  ex aeq. 8. habendam necesse erat, patet aequationem oriri
absurdam inter duas cognitas. Quod si eadem aequatio 7. rursus multi.
plicetur pern aliam ita arbitrariama ad faciendum ut aequalio
egtio prodibit talis aequatio call
udnc tam cum
ad circulum componendo prodeat
non +vnl
es Bnt in
+  +V1
sive.
In etm  m Bn + V) Sim  ( 1+ B + en L + V1B
s
rum eritque , V m 12 
Unde intelligitur
Pre L+ BY -m n. -VYm
duas prioresarbitrarias
β. et V. non esse necessarias
sed posse intelligi aequales lave unitati, et
Rubsidiaria
proditis ralise