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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 738, page id 1815201908:0795
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=795
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000795.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

DVCTVS PLANI
GaBdAE ex duau plAnOTuM AKOC, KIO, LHP, TTBLMMNSuram CBO; ona
cum loliao uod sc ex ductu planorum I. SMI, I L_MEcctangula FIF, 1O. sed
hxclolida, re lupra demoltraui simul sumpea mioca ne poane daro Colido L. ergo
3C
Bgoris ABC. CBOmlcctor pentan Woectansuta, dincse Mcuo cacta al
Fcrancur Caco o scaur quanceas duba Mhot. Sudaclaltu.
monttranau.
PROPOSITIODKLIV.
IInE ABC, C BD SgUrX, quarum rna convexa, altera COnCAUA; pO.
Eex aurem sine subalcerne vel non lubalterne.
Dico verique toc posse inseribi rectangula (HIF, IG, K C: L F, VG,
VC) reilla ducta in se muruo plus anterane dimidio cotius ductiinco-
cum.
Emonstracio prima sipurx eadem eA cum 43. vel 42. secundae ver d eadem eum
pexcedenti.
PROPOSTTIO ZLV.
Aeasinceria plana BAC, BE C, BD C qualiacunque, communem
habencia alticudine B C: politaq: BD normali ad B C, ducantur il.
liinhiniex, (hoc est quorcunque) aequidictanEES AI F. D, quIX OCCUTTANE
communilinex in punctis K K, planocum vero perimetris in punctis
AA, E F, DD.
Si AK, RE, UD, sinc continue proportionales, huc, (quodidem
A,) Equadraca R E, xe qualia sinc rectangulis AID.
Dicoplanum B AC duerum in planum BDC, aequari plano BFC
cebra le.
Demon.