# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0407
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0407?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 350, page id 1815201908:0407
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=407
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000407.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.85
# 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.

E L L IPS1S.
2010ott1O ee
Seo circulo ABC inscriprum polrsonum quodcunque régularé
SA, B, C, D, F, F: sic auem _ ellipli. C FII inscriprum polygonum
regulare C, TI, I, IE, L, M, coldem lacerum, quoc cst polygonum circu-
Dico leomencum circulare ab alquo lacerum polysoniablacum, este
ad seomencum ellipricum, ab alieuo lacerum polygoni ellipriciablatum;
loinlcripeum.
veest dculus AB C ad c p CIHI.
Demonstratio.
le O contrum circusi dc Ncenerum eMlipsiS: ducancurque ex O ec NY. semidio
mecri ad angulos suipolygoni: Ouoniam C FI, FTV, TR, Qc. segmenca in cIlipB
per constructionem sunc aqualia, crunc e 2 sectores ON FI, FTN L, INR, _c. xqua-
les: sunt aurem e sectores circuli AOB, BOC. COD, ScC. aquales se pares nu-
mero ellipricis, isicur estsedtor AOB ad sectorem C N FI, ve omnes sectores cir-
culares, id est circulus AB C ad omnes sectores ellipricos, id est ellipum G FTT, qua-
re eseementum AB eAt ad scgmencum C HI, re circulus ad elliplm. Quod exac
demonstrandum.
PROPOSTTIO CCI.
Irculo A inscripeum sic quedcunque polrgonum, oportec dacx et
liph BC D polrgonum. pari numero lacerum proporcionale inscri.
bere, hoen gudu e une ad elliplim proporrionem habeac quam
circulare ad circulum; de cuius sinsula lacera, seomenta auterane que ad
ellipuum Cuam ealem habeane rationem quam habene scomenca circulz.
rias lingulis laceribus polysoni circularis ablaca ad Cuum circulum.
Demon.
N eiE AHI   i.  A   si.  LBII
edt