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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 384, page id 1815201908:0441
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=441
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.85
# 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.

AR ABOL A.
eROPOSITTO XLII.
Incicerum in parabola A BC CAIICMLAI quaevis AF, BD: et ad
merro LRL uIl.
Demonstratio.
Vata ABlinca seceFF C, HIrei
etaS in B, _ L, CTICIBIEUE L HM
rectangulum aequale à rectangulo
R HII X F FD rectangulum equa-
le rectansulo GFC. inde KHI
tectangulum est ad rectangulum
GF C, ve L TIM rectangulum ad
rectangulum B F D: SCd L. HM
rectangulum cA ad rectangulum
EFD, VE L. FID linca ad lincam
P F, id cAt ve AEI ad A F, isieur e
XHI P rectangulum ad rectangutum
OF C eA vE R HI linca ad lineaim
AF. Quoderat demonstrandum.
Corollarium.
Tinc lequicir, quoque esseve AE ad AHI; siC TET K rectangulum ad rectaripu
lum IFIK
CAenim AHL ad AFB, SIC HTL. ad HIL, id cA L ITM rectan-
sulum ad reclan alu Y. HIM. sedrectangulis I. HIM aqualia ostensa lunc rectangula
PTTR: IBITUE VE AH ad AII, SiC TEIK rectangulum cAt ad rectangulum LHK.
P R OPOSITIO ZLV.
DArabOlam ABC seceHEIm A e D, diameeri dux aequales AL, O F.
Aex P de F quadisponancur parallele F. C. F. C occurrences parabolae
Dicorectangula BF. C, ELF C esseincer le equalia.
Demonstratio.
DBD quidem ordinacim ponantur linex C. C, K l occurrences dia-
Dico CdC veAH ad AF, sic Ca CClanigulum ad rectangulu CF6.
43. Buius.
in B, C, tBC punctis.
2. Sexsi
DONANEUT eX D de A linCK DL, AK paraHIelX F C; _t AK quidem occurrat
DF diametro in li _c DI. demilla ex R diametro in NI: recta verO A F pro.
60101. 44.  DL In NI, VEDF ad DI, GC FIF C c rectangulum est ad rectangu.
lum AIR, e VE AP, ad AM, ACBF. C est ad rectansulum D M L.: ixicur cum P A
216
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