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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 698, page id 1815201908:0755
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.88
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11I
S DIR A L. 18.
AE parabola AMP quar careat
ALI. Ducancur diamceri BL, E. R.
DL e quocuis alix secances patabolati
inpunctis l, K, L, ee c. iunganeurq; Al,
AK, AL, AMI, _c.
Dico segmenta omnia parabolica
concenta parabolae perimerro et rectâ
subcensa, nempe AI, AK IA, AIL a A,
AIM, A, ac. omnibus eriangulis ABI,
ACK, AD L, dec. esse proporcionalia.
Demonstratio pecenda ex iis, quae diximus
Prop. r2. huius, quae que sub Anem libri de pa-
rabola demonsteauimus proposicione 236. Sin-
Sula illa criansula esse cripla cingulorum se.
smencorum sibi inclusorum.
APPLICATIO.
rIE iam spiralis AN FI; _ CenErO
 A ductis quorcunque concentri-
eis spiralem secancibus in punctis, I.
LL. L, M, RC. iunganCUTAI, AH, AL,
AVI; _C.
Dico seementa spiralia ABI,
ABIK A; ABIL E A, ABIM y A, Rc.
ac deriuo torum spirale spacium se
coribus ABI; ACK, ADYL5
AF Z M; Xc. Ec cori deniique primo
circulo proporcionalia eAte.
Democtallo Fachs elt ex iis quae a Pap.
Dol. 4. ProP. 21. _ ab Archim ede prop. 24.
demonstrancur: linguli enim lectoresiri-
Pli cunc legmiencorum Epiralium libi in-
clulorum; cocus eriam primus circulus, spi
ee alibila pius lant reperiris ele manitelta; criangula enim AB I ACR, XC. lectori.
bus ABB A C. K ac Cxcera ceceris in veraque tiguca relpondene.
PR OPOSITIO XZVII
Lao pacii corius criplus est. F. X quibus palec propolicum. Similicudo etiam ex peop. 13.
Asoret   uu  tti ot u  atet tate   ti es it s iu