# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0346
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0346?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 289, page id 1815201908:0346
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=346
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000346.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 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.

Demonstratio.
E L. L XPSIS.
Fnero C inceruallo A G Circu
Ius deleribatur AFIC: 8 ex P
linca demitratur D R concingens
circulum in A OCCUEFeNS F C, axi
Cllipleos in R; ductaque ex II li-
nea FIL norinali ad axem qux
per C Oroll. 33. huius cransie etiam
Per B, agacur per F normalis alia
LMN, iunganturque puncta NC
HIC. OuOnIaM LHI; MN lincae
aequidictane; crunc anguli LDB.
MOF aequales: sunc aurem eC an-
Buli BL. D, FMC recti per con-
Iruction esigitur e reliquus L. BD,
religuo MF C aequalis cAt. quare
anguli DBH, OFN ipcer lc X-
quancur. Quia aurem criangula
OTB, GMF sunc Cmilia, CFIE vE
L B ad M F) SCDB ad G F. scd ex
demonstraris in scholio quarrae huius, ve LB ad NF3 SC B F ad FN: er so DB
ad GF, Ve BHI ad F NV. quare cum anguli DBFI; GF N iam osten Ei line xquales;
limilia crunceriansula D BLBC FNY. ergo HD eAt ad BD hoc eAt HI K est ad a 6. sex sb.
BF, vE G N ad GF. e Permucando ve FIK ad GN, sic B R ad GF. Deinde cum
in criansulo DC K angulus ad C rectus sic e GII ex cenero ad concactum du-
Aa normalis ad DK, eric HIK ad OTI, ve O FI ad TI D: Sed ON, G IT EguanEUF, b8 sovt
ergo, DE K HLad GN, hoc est sicuranre ostendi, ve BF ad C F, sic GN ad DFT. (CA
ob similicudinem criangulorum ve CN ad DHI, sic C F ad DB. ergo, ve BF ad
SF, sic CF ad DB. Quod erar demonstrandum.
PROPOSITIO LXZXIA.
IIdem poliris ( C F. sic proporrionalis media inter DB, BF.
Dico punctum F esle ad elliplim.
Demonstratio.
Puncum t non est ad ellipum; occurrat ergo elliphs rectae CF in l. lupra vel
IITA F. Eroo perpraecedencem DB, GP, BF lunc concinue proporcionales;
quod terinon porest; cum DB; GF; B F. ponancur concinue: Non igitur aliud
unctum rectae GF ad ellipsim est, quam F:. Guod crat demonstrandum:
eatdoiti a
cica sacto MalttetBilliot Chlteoo daboterettao
Demon-