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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 755, page id 1815201908:0812
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=812
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.
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# After the first blank line: the recognised lines in reading order, one per line.

t
N P L A N V M
Ghodeduentapelleles alleta in luperticiem 6l.
Dico NC planum ductum in planum CO efterre corpus aequale illi
Demonstratio.
Lse: led lemicirculo AB in se aceaGdale est planum N C ductum in C O a 47. hutus.
isicur NE ductum in C,O aequale cA HC ducto in C I. Ouod tuir demonstran-
dum.
TEdempolitis:
eROPOSIFIO LXIR.
LDico corpusortum ex ductu GO in FN aequale este illi quod ori-
tur ex ductu HO in OI.
Scenim per pracedeM HC ductum in C Laquale semicirculo B AD ducto in
Lmonsralio.
Via ex hypothekBL, DM aequales sunEBD, erune et GN, CO equales
HC duelo  OL. Quoatuic demonctrandum.
LGD, GB, ad eoque rectangula N GO aequalia rectanontis BG D. Sed exhy-
Pocheli rectansula quoque HICL aequantur rectangulis F O F, hoc est rectangulis
BOD; ergorectangula NCO aequantur rectangulis FICI. ergo ve NO ad IIO.
(cIC 2d OC, & dividendo ve GFI ad FTNY, sic CO ad OI: vnde GON HI
rectangula, aqualia sunc rectanbulis H CO L: et C Ob ductum ih F N aequale b ao. hnitun
ROPOS
2
IED AE parabola aris AB xqualis laceri recto, posicaque ad AB, per
delcribatur.
punctum Bordinarim linea  clcdu AB, C
eoF.L. planum ductu LIL, alsualt C blemicirculo ductoin le
Demo
ccloc.
9uC
DOnanEuE quOECunquE F L. H parallel_ D F, ostepsum eA prOPOL. 20L. lib. de p2F a
bola; rectangula omnia FL HI aequari quadraris PC: isicur per 45. huIuS PaccE
FF. planum ductum in L. FL aequari Cl lemicireulo in le   
motutcaleum.
R