# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0434
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0434?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 377, page id 1815201908:0434
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=434
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000434.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.89
# 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.

Il A
L
ARS SF C VND A
Tinearum in parabolatam continuam, quam discretam
contemplatur proportionem.
eROPOSITIO ZXXII.
IE ABC parabolx axis AB, in quo assumpro quouis puncto D, cdu-
Dcancur ex D ad peripheriam linca DB, DC consticuences angulos
ADB, CDF aequales; cum recta ponantur BE, C F ordinarim ad
AZCM A F.
DicO AE, AD, AF, in concinua esse analoBiA _CONFa.
Demonstratio.
roniam LB, C F ordinatim pOsEx sunE ad AXEM,
Lanouli BFD; C FD rectilunE: aequales aurem po.
nuncur anguli BDB, CD F, Similia ivicur sunc criangu-
la BED, CFD: _ VE BB ad FC, HC F. D ad FD: x2-
cionis aucem F. B ad C F, duplicata csa rario AF. 2d
AF. ergo e duplicaca est racionis F D ad D Fi. unde
AB, AD, AF, concinue lunc proporcionales. ve Facile
deducitur ex prima de progresl. Geomerricis.
Sintiam proportionales A F, AD, AF, Postilque OF-
dinarim BF, C F: iungantur BD, CD: dico angulos
BDE, CD F. aequarr. cum provorrionales siInE AF, A D.
AFi racio AF ad AF duplicaca eA rationis AD ad
AF id est P D ad DF, sed eriam racio AH ad AF,
duplicara eAt rationis B F ad C f, igicur ve P D adDF,
HC BF ad CF, _ vE D F ad BF, SC DF ad FC: vn-
de cum anguli proportionalibus laceribus concenti recti sine, similia sunc criangula
BED, CFD, X anguli BD F, C D F aequales. uod erat demonstrandum.
ROPOSTTIO XXZIII
CUA. DC parabole diamerer AD divitain FI, DF,
LDVEAH, AD, AF corinue linc proporronales: pO-
nancur aurem ordinatim linee IIO, DB, FC.
Dico illasin concinua esse aMalosia.
Semonsctata
ex dupialam allohc habeanc lincarum CH. BD, CF.
DAacOV; cum A H, A D, AF Cinc continus proporrionales