# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0301
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0301?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 244, page id 1815201908:0301
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=301
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000301.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.79
# 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.

244
15. Onde-
16 prole
c34. deli-
Mers.
835. cerris.
P
T. NI A
exhibet proprietates.  111
iret
2e
SiII L LO E R LM A.
et aslerinttect
IOnuS rectuS AGC B sectus ACplano periaxem faciente criangulum
+ABC. Sccetur alio deinac planio bals coni AC C non parallelo.
cum veroque crianguli lacere conveniente in D e F: ex qua (secrione
producca) sic in cono Agura D E. F. W, communis aurem secrio illius
plani lecaneis cum eriangulo AD C sIE DEI; ciuldem vero sectio com
munis cum plano in quo est coM balis AGC, SIE reCTA LK, quam per
pendicularem esse oporiet ad A C diamerrum basiscotii, vel ad reccam
quae diamerro AC. in acclu consticuIeuT. i Craxit s
Dieohguram DF. F enculum non eso. lad eg a
np strneit e  mun Demonstratio
2e
D Ex PunCtu aliquOd MECCLX D P AUCAEUFNF.
Parallela ad TK, in plano ABUTX DE FN: et
per idem illud punctum M ducatur in plano
crianguli ABC. recta OP parallela ad ACL
per LinCaSAUTCM NE, OP agacur planum. Frie
hoca parallelum basi AC, C, ac proindeb produ
cer circulum OF P N, cuius diameter cric OP.
Ouoniam isitur OP est parallela ad AC,
criangula BOF, BC A similia TunC. Scd BC A
ilosceles elt, ergo e BO P ilolceles cA. FrgOCKC-
aangutum F MD maius est rectansulo OM P;
sed rectandulum OM P d sequale lest rectangulo
NME crgorectangulum LM D maius est rC.
ctangulo NM E Parec isiEUF CX 35. certII Agu.
ram DB. F N, circulum non eNC. Ouod crac de.
monstrandum.
ilg r.D R O, P O SI.TIO, L. L.g en
Acusiam sic conuS (caten A B C, ee planum secans quod producit
in ConO fguram D F FN, neue sic parallelum ba(i coni AOC,
Sectionem e conoeducit primasqu ac essentiales, ejusdem
3LME
P. C
er
ilerc CF rce
quepropolicione prima.
neque subconcrarie policum. C aleta vero omnia ponancur e hanc eadem
Dicorursum fguram D C. F. N circulum non cAC.
Demon.
pa is     s   s ur u   es tng u seu at p  asete et se  sit u ote at pep et state an sr s   sie qu stip