# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0559
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0559?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 502, page id 1815201908:0559
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=559
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000559.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.88
# 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.

AEXx 47.
vins.
P AR A BC
Demonstratio.
quata SInE RECEanGUIA HTME, rectangulis
HTM receangulum ad FTIM reccangulum
est ve GTT ad GTF, id eA ATD reccangulum ad
rectangulum AID: Sed FTTM recrangulum est ad
rectangulum FIIMI, Ve TM linca ad lincam TM, igi
tur re AID rectangulum ad rectangulum AID, AC
TM linca ad lineam PME. BUNCTA ISIEUE M, M a Cuntad
ROPOSTTTONCCEXILL
l
Ecin AB C ollipsi rna ex diametris coniugaris
aequalibus, diamerer BD, ad quam ordinarim
POnaHEUT AF. Rancaurem quadraris AF, E. B
aequalia quadrata F. F.
Dicopuncta B, F, F esead parabolam.
Demonstratio.
Vonia BD una est e diametris coniuraris aquali-
quadrata A F aequalia suneb rectangulis B F. D.
addito ipitur quadrato B E, quadeaca duo AF, F B X
qualia lunc recrangulis F BD. isitur F P. quadeatum
est ad quadrarum F L, VeF BD reccangulum ad rCCEaM
sulum EBV, id CA vE F B linea ad lineam F. B. igicuF
B, F. F Puitcla lunc ad parabolam.
Seo ABC ellipleos diameter BC,
squam in B de C S concingant rectae
FC: Polirisque D F parallelis dia-
metro BC. hayc D AF. rectangulisaqua-
in rectangula F. DF.
dico B, F, P puncta eMe ad parabolam.
mu Demonstratio.
VCanEUE A GIF HF paralleIX DB, PaCeE AC
ordinacim cAC Policas ad BC. IgIEUE D AF
rectangulum est ad roctangulum D AF; id est
BGC ad BCC, VE AO, quadratum ad qua-
dracum AC, id est F EI quadracum ad quadra-
EUM PFI: isitUIE _C F D P recratigulum est ad
rOCEanGUIUM FDF, id est HIB C ad HIBC
reccangulum; DE E FI quadracum ad quadearum
FTT. sed FTBC reccangulum est ad recrangu-
Ium FTBC, ve FTB linca ad lineam FFB, igicur
vE F H quadratum ad quadrarum L LBlC VIB linea ad lincam HIB. puncea igicut
PRO.
parabolam.
Circulo quoque convenit haec propositio, eademqe est demonstratio.
eROPOSTTIO CCOKIV.
B. F, F puncta ad eandem lunc parabolam.