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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 358, page id 1815201908:0415
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=415
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

(et si . ri a111.
358
In omnivero parabola diameeros axixequidiltare, et section ubcall slh.
Ao occurreles luo ontrabicur.
ero occulrir: punctu ae suba ant a eon peeoo
ett, verrex cut patabola.
aequidiltancium, ac biCaria aMIaE.
pocenciae lincarum ordinacim ad dlamccrum policarum.
Verricem diamerri voco punctum in quo daet sc felne.
Olclatu e cametrum applicari alcllut aguaue Ca
Latus rectum voco lineam iuxta quam possune ordinacim ad diame.
erum appileaca acastdu MMmmraelcruxca quam comparaneue
Porro illud peae reliquis sectionibus peculiare in parabola Tibi vindieat latuSre:
ctum, quod rectangulum lacere recto et parre diamerri ab eiuldem verricc, d pun-
eo quo ab ordinacim polica aividieuE, INCCTCCPCA COnTEMEUm, Xquale (EI PEF CON.
Ricuat quadraco lineae que ordinarim poni dicieur.
Sic exempli causa in A BC parabola diamerer A D, illiulque lacus rectum A F.
ordinarim vero posicx sneBD, C F: cricigitur ex mence Apollonii, quod d nos
quoque demonstrabimus, quadrarum BD aequale rectanguloD AF; _ F, AF rC.
Aansulo aequale quadratum CF. de sic de cereris ordinarim politisidem oltenderur.
TIlud quoguehic obscruandum est, quod e in elliph octendi, diverla diameeris
Sngulis asignari lacera recta, cum linearum quae ad illas ordinarim poni dicuneur, di
verlx quoque existaneporencix.
Deindenecessarium non esse lacera recta ad exeremicates diametrorum suarum,
normalicer poni, le diidem eo posse applicari angulo quo diaceri ab ordimatiI PO.
AcisincerleCanCuI.
V
Focum parabolx appello, punctum in axepolicum, à verrice incerual-
lo disticum. quo daquale eA quareae parcilaterisrecti.
Parabolas parallelas voco que ad cundem ixem conltiuca diverlos
quidem habent apices, sed lacera recta aequalia, et concauas perimetros
verlus candem parcem.
Larabola aequales lune, quacum lacera iccla aribus meruicncia tuut
aequalia.
PAR A.
 m p ts e t st tetse ite qtt ott ot   u eses se u  t    tute t b tite  a s o unt