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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 286, page id 1815201908:0343
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=343
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 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.
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# After the first blank line: the recognised lines in reading order, one per line.

aso. huius.
646. huius.
oll. 2
haius.
Bu-
ouius.
15.
SSL. huius.
 BL. ha-
286
LL LIP SL3
eR OPOAITIO LXXXII.
InE ABC cllipICoSaxeS AB, CD, sic aurem et alia quaeuis diametro.
Drum coniugatio, DF, F. D, Quas iUnGANEDF, F F; D L. quidem secans
axem maiorem, F. F vero miltorem: ipsas deinde DF, F F. bitariam se-
Dico 1B diametrum mtaiorem esse diametro K B.
Demonstratio.
Voniam diamerri BI, BK bilecanE rectAS FD,
LF F sectores ambo a DBF, F BF BilCCANEE
Duare cum biphxquales sinc, eriam iplorum sectores
dimidii TB D, R B F aequales crunt. sectorigicur +BD
minor est sectore RB L; ergo sector TB A mulco mi-
nOr sectoreRBL. ergo IB cpropior axi est quam
BK, ac proinde maior quâm B K. G uod crat demon.
Arandum.
PROPOSTTIO LXXXIII.
EABC ollipscoSaxes AB, C D, et alia quaevis diametrOTuM COn
Dico lineam F. II quae axehmaiorem sccar, minorem essc linca F.6,
Demonstratio.
EFI, F C dividanenr bitariam per diameErOS L. M.
TN, in I, _ R. Duoniam CTI, P F (unc coniu-
DatXidsCCEOrOS CT F, E LTI aequaleS CPUNE, aC PFO
inde ClegMentA ON E, FMHT aequalia CUNE. Ouare
L BC, L. N bisccances SubEen(aS F FI, F. C, proportio-
nalirer Esunt dim (X. ErGO ML ad IL, VENK adRI.
_ coponendo ac permucando ve L M ad L N, SIC L I
2d L. K. Sed L M Smaior esquam L. NI; ergo L. Lcriam
maior quam L. R. lam vero cum P. NV, L. M cciam L sInE
coniuoace, e F C sc ordinarim ex constr. polica ad
L N, exit LM Parallela ad B R. ob similem caulan
T. N, F. Pparallelae crunc; parallelogrammum igieur
eAt F I, I. R, adeoquC P. I, KB, F. R, E. L, xquaneur
Cum ergo LT BICMaMMiOx esC quam L. K, CriC _ RF maior quam L. R, hoc est
quam L. l. Quare dupla cius. L. Cn maioe dupla tetl. Duoderae demonllrandum.
cent diametri BGI, BIILL.
qua minorem sccat.
EF, CHI, iunganturque F II, FC.
L lD. LCd nt. C Cc taat.
LCacieura Conuns lestat lumpla Matune tunc omnium
fua GIlat AIRHIS CIAICLEOTUIM COHIUBALATUM CONVCTTUHL ExCTCML.
Demon.
e  e   e ous  A pti t u ue. u tie u  pe e  t us   te p  pete  e e a e     t  ut     t e u   e       pt e a e e   e   i p