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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 204r, page id 00068195:0407
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=407
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine
# Lines: 62 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

abso ca
liformes quaecum
se pcritartur
tem, ejusdem vasis et alti
tudinis cum quadrante
circuli quaeritur extra
an intra eum tadat
partim extra par
tim intra.
  sit quadrans ABCEA
radius AB vel BC sit unitas
describatur super eadem altitudine AB
eundem habens axem AB vercice
rectam AB; idque
cd
 sit ad Asdeu
circulo partes cavum, id utique
circulo
occurrit in A et C quaeritur aq ei adha
ugrat alibi supra C, nam infra C
constat occurrere non posse. Sit AF X.
FD, y. et F  aequatio sit Xaeq. y
parametrum seuradium esse A+
videamus pinum quadis
in  paraboliformis si
iu decrescere dy. est yaequ X
u obieu
se
ego BXCax. jam si e numer
a not rele
tina ergo reere.
si ine e aeqeo. fiet dyaego
posito connneur positivv. quo major
ergo quo major xe
i e sitnnum
boliformis ad easdem
cavam
seygend
arem
dys
cumcirculo partes cal
atur, si e sit
grias partes
de
an paraboliformis et circulus sibi possitit
t
coincidere puncta
hoc est posito X et y, p0 ct H1
pex use
nalura corcali  1X aegu singus. Ergo
datur utr obique per 1-y. fiet a
Hy  posito e numero integi
fiet : 1+ 9+y2y ete ry in EY I.y+ Y)
Ergo 14y + yt ay etc +y  aet.1
quod est absurdam: fieretus enim y 4 4 ety.
est absurdum, italis estn
in 
tit yeq. 0. impossibilisca
f.
st
1- yE rgo fi- yy
vil vagio el  agit. se