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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 706, page id 1815201908:0763
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=763
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.73
# 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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111.
 A RSL LCLML A
Superficies primo exhibet, C5 quales sint determinat, vii E communes
inter sectiones ortas ex ductu rectilinei in rectilineum: deinde
corpora sic producta inter se comparat.
eR OPOSITIO PRIMA.
Vadrarum in le ductum, producie cubum.
EXI. DC
Amonstratio
1ec
33
est i
A creris 2
psi
o
 XD Cct
b et
TIisEIE
2 5.11 (3 B MLBNE  3
Ae aiteno  isti c. tui
a A WSeIH _er CM ~
1le
i g sheis cersernte . L. 11. 58. 1
n
t.
quadeacum B L. F C, illi xquale ex inalectum appolicum, exhibcac fguram
Vadracum ABC ductum insc, id est per secundam huius distinctionem in
BOFTON: dicoillam esse cubicam. ponantur quocuis linex RTO aequidi
sin huim. Aances A D C. ABlinca duit a I B B PaMCxhibec BGHIE rectum ad planum
C EX ele.
mentis.
deeret
BLFC; limilicer RL alctal. Placem procn CL. MO, rectum ad idem
planum BF. F C: normalesigicurlune BC. LL. Mea aupu BF F C, adeoque
parssolo: ex quia puncta BTC indITECTAM IIA BC, TI in eodem Cuncpla
nos smiliter FTF. MO linoc, recla tum se planum BR F C, e incer se equidi
stances, e in eodem plano, ec quia GB, LB HC Mex, aequales luncrectis AB, RL
inter se xgnalibus, xequales quoque HCMICa VB, LL, NC, _ puncta COL N in
directum: Similicer puncta FTM O in directum . QuasC _ CTH, LM. NC
incodenrguoquedlunt plano. caacmde caualecca   NO aequales sunt
BF, TO, CF, id est AB, RI, id cHt Cr B, L L, HC; quadraca igieur lunc plana OC.
CCHIF ac proinde angusi HGB, ALGH, CBC. CFBE recei lunc: vnde corpuS
b6. Vna
GHIOFFBC, cubus est: quadrarum igirur in se ductum, producie cubum. Ouod
cracdemotlcalidum.