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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 391, page id 1815201908:0448
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=448
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.

P A R A B OL A.
ROPOSITIO LZ.
Seo ABC parabola diam exer B F, h qua lumpeo quouss punctoHI,
3
ponantur continua prop ortionales BFI, BG, BF: ductaque ordi
pacim HLE, agatur per F linca ip (I FYF aquidictans, oc
urrens CE lincX
in A e parabola in C: ducarurque F. C. occurrens diamecroin D.
BicoDB G6MMcachee auate
emonsitatio.
Voniam BHL, BG, BF PONLMCUF CONCINUIX PFOPOTHOAICSSI C L OraIMacIIN da
liameerum C B applicalacric A punctu ad parabolam AB C pet COIl. L)MMIU
lunc aurem per praecedencem prop orcionales quoque BEE, BG. BCi Medla iSICuF
DHxqualis est. mediae D F.
2 Per eto
enta
PROPOSIXIO ILX
Vdem posiris ducatur ex C alia quaeuis C l occurrens diamerro BD
Lin IC; parabola vero in l; cum ex A per I ducta linea conveniar cum
diametro in L, ponacurque ex lordinarim linca lM.
Demonstratio.
LIncet BM e B F, media RaF B L oRendetur ve prius L B xqulC essC ipA BK, et
Dinneam L. L OcCuerere parABOIE _ A C recte in A puncto, inde cum tam BF.
BD BH lincx, quam BF, B R B N habences communem primam B F concinux
Eneproportionales, racio b et ad BM, cerrie adbcertiam duplicaca estrationis BD b27. D
ad BL, Id est BG cad B L scCda ad secundam: Scd. _ ratio B FI ad BN, quo- P
que aupcata est rarionis P LL dd TMT: ISICUEDE P EI ad PM, sic G B adL B. Ouod
Dico esle CB ad L. B, ve F FI ad LM.
erac denonteraulum.
PRodecio
IE ABC parabOIa diAMEEeF C D, PONACUL ACLCIIL A D HIMCA OCCUTTENS
parabolae in duobuspunctis B, clatuello selochllalectionem, in
D, POnAHEUrqUC OTAIALHIM BF, AF.
Dico CF, CD, CFlincas   upe
Demot.