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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1075, page id 1815201908:1132
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1132
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 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.
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# After the first blank line: the recognised lines in reading order, one per line.

st
1075
CONOIDES HZPERBOLICV H.
LF ML AISL. (PROPOSITIODCDKL.
cenpeaet alplocos conlcicuram quaenisrecte AB,
OHIR alympEOcO ParaIlElE; PONANEUT AUECM Cx A _ FI, recre contin
semeslectionem quae conveniane in C, D, P cum alympotis: ex centrO
denique C dux diametri ducaneur C AM e OTII, d tatveC A ad
CM, ica C II ad C I, ponancurque ordinarim MI F S ad diametrum C A,
ee INO ad diameerum GTI. 1d.
Dicolineas OOSK proporeionalicer (cctas ese in N, R, IR F, F, M.
uu
Demonstratio.
il
Aetoca
SESM Ad EM, DE OM ad AM, hoC CA pex hyP. ve OT ad HF, HOC CA vE
Iad R I. Cuncisicur SM ec OI proportionalicer sectx in F, _ R. policis
deinde, ATV, AT qua agmdistencalympeoro C C, cruncicerum OV de ST pro-
porcioialicer sectx, cum (c R I ad I9, hoc eAt VI, ad I9, velue CA F. M adM S.
hocCA MT ad MIS: SUINE AUECM ETES QUaNCITaTCS SF, SF, SR ec alixereS JVY.
QR, OOaproporrionales, ac proinde cum siInE F F. aequales YR _ N R, V O, 218 hyperb.
(nam FMI aequalis CA MK _ RMI, MT; ex NYI aequalis IO, _ TR aequalis IV,)
eriam B guanCITaTeS S F, F F, FF _ ON, NR, RV Cunc proporrionales. QuaTCB ,. pro-
cum (ICO R ostenso ad RI, candem habere rationem, quam habet SF ad F. NI, gres.
etiam ON adN R, hoc es V O eandem habebic proportionem quam S F ad F F,
hoc est PK. quare Fotxe lincx O, SR in punctis NV, R, I e F, L. M luncPrOPOr-
tionalicer secX. Ouod tuerat demonstrandum.
eROPOSTTIO CLXXI.
anis lectio conoidistypone u t ua C ExHI.
DET.
Demon-
   t p t e te s s te spi s  tet e et  e s e es te  e e ti  e te t e su e et et e   te    eu e s se e a se et  et se su et .  e  l 1 e e b  e t . 1.  1