# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0712
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0712?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 655, page id 1815201908:0712
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=712
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000712.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.78
# 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.

nocc
radrale
16.
linet.
aque
VI.
navis
intra
IIat
 AB
t
Qua
qu
H Y P F R BO L R.
ea BD minora sunt rectansulis A D C: adeoque illa reduci possunt ad etsnt qua axem ha-
bet aequalem AC, es ordinatim ad illurum positus BD: in quo casu eu setsu sit propo
Sit. praecedenti, quadratum AB, sive quadrata AD, DB translata in B, DL quadratum,
producere hyperbolam; patet idem quoque accidere in obliquis diametris.
secundo dum RC. ona ediameeris coniucaris aequalibus est; quaat aa L LDBtransia-
2a in. B. DC guautata prouncum parabolam, vii 355: de par ab. demonstranimus.
Terriosi AC vero axis minor fuerit, quadrata AB, sive quadrata AD, DB fimul
5
sumpta C Tractolata n DL Gludr aea prdanennt ellipse.
PROPOSITIO CMLAVII.
B axis ellipseos AC B. Gue MHOSOHaHITeT lCceF L F LIEG; L. D
elliplim contingens a Gutans dx: denique policis R Il qua recta
 mepatuete, ase lectangulis C R I aequalia IEH quadraca.
Dico L ellcad eandem hyperbolam cuiusaxis FF..
ato.
Duodtuidemon.
DROPOSITIO CCXZEVIII
Scenim rectangulum FP. P ad FR C, Sicuc. rectangulum DED ad CRTITO
Aangulumigicur quadrarum P. L Au RHI, CaM HabentratiOnem quam rectanou-
ipst
9ide
lum FEL _ FKL, isicur L. H D est hyperbola cuius lacus cransuerlum L. F.
oncingat elliplim recta aD ant e Pacaleta, Gual oco iat
Aer lecer A F. Ran aurem recH, aqualia quadraca F. lo
Dico BII esse ad eandem hyperbolam.
3000:
Demon.