# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0837
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0837?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 780, page id 1815201908:0837
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=837
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000837.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.82
# 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.

a
ARS OCT A V A
Corporahuc  (que ex vario planorum in plana ductu nata, reducit ac
corpora determinatam habentia altitudinem (s basim.
PROPOSITIO CXV.
Ncexlecene selchu, lemicirculi duoina quales L DF, ADB, commu-
nemhabences diamertalem P A C. FB, SC, ve demissa ex D, ad AB ROr.
malis D C. incidar in cenrrum circuli F. D F. Ponatur deinde DCi xqui-
distans F. B.
Dicocorposoum exculu ihLLagncorponMabenuibalim
IH ee Alcirudinem DC.
Semonstratio
rEaNeUE in AnIEX HITRL NMP
allelX ad E. B, D G; Ponaturque CN aequi
distans D C: quoniam FTP. bilecta est in K de non bilecta in I, quadrato TIR X
Quale cstcclats utum ALL. Ma cum quaarato LR. ICa LaM ICcuun Guo
Collisiturque FFK quadraro aquale est arectangulum igitur TK M, id eA BTK NY una cumre.
e dscctca
x35. crri. cangulo TK, NM, id C LCC LRA Cu Gual LL a GuanC CMHMaLI.
BulO LLLL. ina cum quadcaco LR: quare dempro communi quadraco la Manee
FITL rectane au aguase sectangulo lRN: limilicer ommia rectangula HIL
+b. nins Oltenduneur aequari rectangulis omnibus PK N. planum cisicur IIL auctum I I L
corpusproducit equale illi quod oritur ex LR ducto in R N, liuc in alcicudinem DC.
Duodtuir demonstrandum.
LaetOSEEIO BAVI
VEmicirculum ABC secet quavis BP. x quidistans diamerro AC: et
ex Bponatur BF normalis ad AC.
BICO: