# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0423
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0423?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 366, page id 1815201908:0423
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=423
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000423.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 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.

P AR ABOL A
Schol pro. QUtCM AD CA BD, maior quam = F C, isicur X FC maior est quam AC. Ouod
Rursum cum D A F rectangulum L. quale sIc quAdrATO C E, proportionales CrunE
AD, CF, AF. linces sed AD id et BD, minor est quam C P Cx ance demonstra.
risi igITUE e C F, minor eA recta AF: adeoque racio AC ad C F. eA maioris in-
aqualicacis. uod crac demonttrandum.
PROPOSITIO XI.
Seo parabolX A BC quaenis diaMCFEF AD, _C ex
A POnatuT AE, aquidistans ordinatim posucis
ad diamerrum AD;Ponatur quoque ex Alinca AB,
diuidens bitariam angulum F AD, occurrensque
arabolae irerum in B puncto, ex quo ordinacim ad
diametrum ponatur BD.
Dico AD lincam xquari laceri recto.
Demonstratio.
roniam AF, BD aequidistanc, ansulus F. AB a qua
curangulo ABD; sed angulo F AB ex hypocheli X
quacur angulus B AD, aequales igitur lune ansuli ABD,
B AD: adeoquec e linex BD, AD: vnde AD, dlaceri
recto est aequalis. Ouoderac demonstranum.
366
eos. 8. buius. erac primum.
B EX ele
pentis.
c. 6. Primi
hubirs.
8. bvi
PROPOSATIO XII
IE A BC parabole axis AD, e ex A demissa linea AB, parabolx ire-
Drum occurrac in B puncto ex quo ad arem ordinarim ponatur BF.
ducacur aurem es BD normalis ad AB, occurrens axi in D.
Demontrati.
Dico D E lineam aquari lareri recto.
Voniam angulus ABC rectus cA, _ B F normalis ad
Laxem A D, proportionales c sUnE AE, F B, RD: _CF B
quadraco aequale rectangulum AE. D: (cd _ F B quadrato
aequale esrectangulum luper AP. see lacere recto, rectan.
Itcanaum.
sulum ibitur AF D aeGaC c lCD AF. a LalctC
recto. aequalis ergo F. D en Lalelteclo. uod crat demon.
diametrorum.
eROPOSITIO ZIII
Acus rectum axcos, minimum en Lacerum sccorun, LenGcatu
Demon.
 e i e pe u e.   )  1. 1 ti  .   .  1  ie 1i  1 .     .      1 B     1  .   ie     t  1 .   . a s e   u um tt