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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 172v, page id 00068196:0342
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Ab eaa - ccaa, est etiam aequ. 0. ergo pro b ponendo 4, et pro ca 0
fiet  1b eaa aequ. 0. ergo eaa est etiam  nihil. porro quia
at
idem eaa debet aequari datae aquationi in nostra aequatione
quantitati = 6hh. non est ergo nihil. Habemus ergo absurdum. Sed et
aliunde habetur impossibilitas, quia enim 4gXX aequ. XX. erit 4g aequ. 1.
ergo in formula quaesita omna quae ad quadrandam figuram
propositam quaeritur, in dict. pag. 436 artic. 4. nempe.
byy + cay + eaa
+ dXY + fax
+ y XX
aequ. 0. pro b. ca. d. ega. f. g
ponendo 4 0 0 0. 0.
4
4yy +  XX aequ. 0. quae est aequalio
fiet B 4y7 aequ
Sed et adhuc alio modo primo statim intuitu
apparet aequationem ad nostram curram, non posse comparari
impossibilis.
cum dicta aequatione r pag. 436. artic. 2. deberet enim
s comparari cum ddc + ccg+ bff - cdf- 4be9 multiplicate in aa XX
quae comparatio non procedit, cum prior quantitas sit constans
posterior indeterminata. Itaque duae aequationes quae comparari
ceberent non sunt similes. Unde sequeretar quadraturam
quaesitam essempossibilem. quod est falsum. eptime enim
habetur aliunde, itaque non procedit  sufficit haec Methodus
1
et
cum antor ejus ibi artic sub finem paginae 436 ex
demonstrare velit impossibilitatem quadraturae circuli
manifestum demonstrationi isti confidi non posse.
ea
dest
2hX
CAh X + 4 kh X
= ZhX
+ hh
X2 = EhX = hh
 = 2hX + sisi
ehitiXX - 243X - h4
hlixX + 2hX +h
X= 2 hX + ZhhXX
X
hXX
h
e
x = LhX
2
+
=2h
= 2hX
e
EM
Lhk
=ih X + ahisiXX + Eh3X
=2hX
c4 = 4t
X +hliXA
GhXX
indemi
invenn
+h2