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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 403, page id 1815201908:0460
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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 0.87
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# After the first blank line: the recognised lines in reading order, one per line.

P A R AB O L. A.
PR OPOSITIO XCILI.
Tisdem peHIS ducarur linea D RL OCCUEreNS G F in NI.
L Dico CM, GHI, C F lineas in continua esse analogia:
Demonstratio.
Voniam e C asudictac AD (ob D C, parallelogrammum) ec TKD, TCD
Lerianoula eandem habenebasim ID, LINCR M FI, =FTL aquales LunE. LunCaU- 2 Educitun
cem concmue proportionales CF, FIF, I Piisicur ex CM, bCHI, C F linea in con. ex clemon-
cinua sunc analosia. Duoderatdemonstrandum.
EROPOSIFIO XCIV.
L Dico ad FA, Sc HB ad BF.
Demonstratio.
DVCACUTCK C pet B HHCA CN OcCurrens AD linex in N: _ ex A Fecta AC
Paralleta BC LCAHS F. C. productam in O, ex F B lincam in P. Quoniam DC. c67 huint
eAcontinsens e AC eidem parallcla, rectae TIB, FTF, ETPC proporrionalos dg2. huino-
lune. Suncaurem etiam scontinue L F, ITF, OF, ee C F linca xequalislineae II P (ob
AB, AC. Parallelogramma super cadem basi A D, _ incer caldem parallelas consti-
CUTa.) igicur e TTB, aqualis elt rectae LF: unde dempra communi I B, manccHI L
rectae BF, _ N A ipA FD aequalis; adeoque e NY C paraIIClA D R. GUATCVEDN
est ad N A, id est EK ad DF, hC EIB est ad BF. sed vE CR ad D T; sic CHI est
ad FD, id est C F ad F A: igieuE vE C F ad F A, siC IYB eAt ad BF. Quod crarde.
monstrandum.
Eshec Archimedis alicer demonstrara.
eR OP OSITIO XCIH
DArabolam AB C Subrendar linca A C
actaq; perAcontingente AD que dis-
merro C D ducteper C. Occurratin B, Po.
nancur quocuis diamerri FF. SCCanECS P2-
rabolam in (5, _ per C ex A, ductxelineae
AHI, occurrant diamerro C D in II.
Dico RC, CD lincasproporeionaliter
in F. et Hl esse divilas.
IIdete poliris.
monsratio.
monstratiomanifesta et per precedencem.
nam lemper eAt vC AF, ad. LC, GC FC ad
CF id CA D HI ad FIC.
DII. Depro-
resstorodu.