# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0366
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0366?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 309, page id 1815201908:0366
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=366
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000366.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

linet
eb
see
Dico
E L. L. IL 515.
Dico circulum cenero el inceruallo D de l delcripeum camlite pet
_ C.
Demonstratio.
Vneancur puncda DF, FF, DG, GF.
Duoniam eam angulus D F. F, quam
DGF. est rectuS, S D F linea verum
que subcendens diuila bitariam in
AI, Pacec circulum cenero TI incerual.
l0 HD deleriprum eransire per F d C.
Duoderat demonctrandum.
1GAB L
Corollarium.
Inc sequicur angulos E D O F D A
CHc incer se equales, eAt enim an-
sulus AD F in demonstratione pEX
cedencis xqualis ostensus angulo C F. P: Se d ansulo C F P. aequatur angulus F DC
cum cidem arcui PC insittac, erso anguli E D G5 F D A lunE incer lC aqua-
C50
PROBOSFTIO CZXV.
Lliplim ABC cuius axIS AC CONHMS AHELM A, C, B, HHCX AV.
LCF, DF: _ DF. quidem conveniarcum AD, CF. lineis in D _ F.
HaHEAUTeM AFC, AO C rectangula x qualia quareae parti figura: ductil-
que lineis FF, CD qux scincerlecent in tl, ex puncto H ad concactum
B, ducaturrecta HIB.
Dico FTB normalem esse ad cangentem D F.
Demonstratio.
305
Vcaculte FB, C F. 2 AIISII
DFF. F CD recti erune. lam
TupeFHID, HB lincis ve diamerris
circuli describaneur D BFT; E BFI.
Ononiam DFI FTF, linex non lune
in directum, pacet DBFI, EBHCir-
culos se invice secare in puncto ali-
quo B. iunetis isieur punctis HIB.
dlucantur rectae DB, V B: crunc an-
euli DBH, E BEI recti; adeoquo
DB, F. B linca in directum, e IIB
linca normalis rectae D F. lune au-
cem veance olcendi D Fi F 3 F GD
anguli rectiisicur D F B linca est cangetis. Ouare recta BHI est normalis ad P. D ćducrterur.
cansentem. Duoderar demonctrandum.
PR OBOSITIO CXZVI.
iniu
eat
125. huius
Ademmanence uta. aucancur FB, BC1
Dico ansulos D BFs FBC ad concingentem estexquales.
iluma
243
ictiter
Demon-