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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 506, page id 1815201908:0563
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=563
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000563.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.73
# 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 A R A B OV A.
puncta situr A, C, C de Pacaderan su, cuius didmeter AFC.
Si vero FC linca propotoales cplis L. L, oltenditur re in pexcedenci pro.
Dosirione, A, C, C ele ad parabolam. e eu ba eeheup  el a
sit. 59 530  e C ∞. ∞2 5B F~CeB
PR OPOSI F FO CCOXXII. I ba romt. C s 30
.3a1 soder.
Ponantur aurem ordinac lince BF, CD; innetaque AC SCCUTTAL
BF. lineis in F. dein dueta quacq: CC ad AC, contingentem, quae
BE. lineas productas secet a HIH: hac ve FB ad F B: sic HII ad FII.
1311 213
El aC TI
106
DArabolam AB C cuius diameter AD, contingat in D linea AC
Dico puncta I, l esse ad parabolam.
Demonstrati.
GTAnEFEFad ETK, VE BF ad FP: pateC ex elementis GR K eNse in directumi CxIB
igicur IIK ad clesaCL. acumn  dCaCLe
componendo ve BR, 2d bF.; liC IK ad HIK, _ VE BF adBF, liC IR ad TR:
unde quadrarum TK est ad quadratum IK, ve B F. quadeacum est ad quadeacum
BE, id cA vC AP. linea ad lincum A E, id cAt vC C. K ad C. K. pun Cta 1B. CUL C. L. L (uhiL
ad parabolam.
ROPOSITIO CCCXKIII
Adem Manehce ABa. Pertciarur parallelogramut aVC, d
MMC, lacus occurraclineis F B in L: hac aurem re L. B 2d L. B, (iC
e
I ad L. I.
Demonstratio.
Dico puncca I,eM au patabolam.
at LLHLAd MG, VE L B ad F I, _ recrA duCATUE G C occurrenS B T, lineisin
indeper praecedencem puneca in l lune ad parabolam.
HTT. CFICIGIEUE DE LF de LL, HLIL LSLHI. c ex ns PoM M LL
E I, VEL B ad L. B, isicur _ FIP est ad FII, reliduum vE FB ad FB, residuum.
R0
ot23 ta
1
ori