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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 407, page id 1815201908:0464
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=464
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000464.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.82
# 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.

P R O POSITIO CV.
Ddrabolam AB C cuius diamerer A D Contingat in B linea BF, COn-
veniens cum diamerro in tis demistaquCEX L. ed LC, Ga Paad
lam secee in F ex C, dueancur ordinatim lincxe F6, BtI, CD.
Dico FC, BHL, C. D lineas in concinva F
este analosia.
Demonstratio.
DEMIETAUE ex B diateCet BPSCCaHB E C li-
neam in K: Ponarurque RI parallela FIB.
Ouoniam B E linea sectionem concingie, crunE
FF, F R, a F C livee, adeoque e Li(, bKL, C.
concinua proportionales: sed HB linca aequalis
eAtR L, isicur FO, BFH, CD linca in continua
sunc analogia. Duodecar dem onstrandum.
Corollarium. .e
EAdem manente sgura Cumacur in AD diame
cro quodcunquepunctum F, exiraparabolam,
ex quo in parabolam secans demiteaeur R F. C, du-
ailque ordinarim P.C, C. D Hac AF lineae xqualis
A TI, _ ex HI, ordinacim ponatur HTB: dico FCn
BTI, CD lincas esse proporrionalos, juneta enim
B F. ceric contingens. vnde per precedentem con-
Rat veriras assertionisu, e
NorDROBOSLF L, D, C:
Sto ABC diamerex A D 3 in qua al
Llumpro extra loctionem puncto quo-
vis E) demietateur ex F dux
quevis BC, E F SCCANECS PataS
Bolami in G, K, C, F: pOnanEUE-
que ordinatim GI, KFI, FB, 11
Id
DicoelleMt d LLLL
FLg_d. F. B. 19ni Sin ceritursio c
a Demonstratiou
Demieratur ex X coringens L B.
ec ex B ordiniacim ducacur li-
nea BM cruncigicuEtam CT, BN.
CD linca, dquam HH, BM. EL
proportionales; quare cum BMII
nea Gererique seriei communis et
media proporrionalis inter casdem
lnCaS; CTCD crectangulum aL
quale clt rectangula TIKDL. 19i.
cur _ FC I3dXFB Ss F F. ad C D.n oyil
Quoderac demontrandum.
ditNoeiC
152TIH3DC arit e R ocriina
111Od El 134 1LIIL AO9. InCI
513. 5
7
P A R A B O L A.
281. huin
bPeroli
memia
5. tai
et