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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 793, page id 1815201908:0850
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.84
# 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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LAL L ANV H.
E ausigi stenaus
Demonscratto.
Voniam A F G paxabOIS axis AC
lacerirectoequalis est, linex Li P
a aquales (unE AB, per hypochelim
vero BC lineis Xquales sunEF BFP,
rectangulis ABC 1a cl b AC, BF
rectansulis ergo c Planum, FP du
ecum in planum L. II. aequacur qua-
dranci B L ducco in alcicudinem AC
hioc est quadranci cxlindrico, cuius
Dasis B F, alcicudo AC. Ouod CFAE
demontr.
rectangula iicur FR. FT aequalia sunE
+LOTOStLtO CXLI.
1268a
b
lib. de
ton
SCD E F ductum in FIIxquari, parri cylindrice qux bali constae
IIdem posiris:
BI, _ alcCC AC.
Demonstratio.
 LccanSua Li F TI aqua li LLMMELCCLAHSNS HI F L. V CUM quadratIS F F: SCd
LLF F E rectangulis cciam xequalia octensa sUNE recrangUIA AC BF recrandula
igicur AC BF. xequalia sunc receangulis FF F P vna cum quadraris F P. Rurtum
recrangula AC BEi aequalia une reccangulis ACBI, ACIF, id est rectangulis
AC BIrnacu rectangulis AC TF, id est F A C, id cst quadraris A F, id ost quadraris
F F aequalia igituE suNE HIF F. reccangula vna cu quadraris F P. recrangulis A CBI
via cum quadraris F F: quare dempeis communibus quadracis E R, cecranoula PTFi Fi
aequalia lunc rectangulis AC, BI. Vnde planum FTI duccum in F F Corpus pro-
dueic aquale plano B Y ducco in planum F R, Hroc est plano Bt, duceo in alcicu-
dinem A C hoc est porrioni cxlindrice cuius basis B L alcicudo AC. Ouod erar de-
monstrandum.
POSITTO CZLI
Vper AC quadrati lacere vnoAD, deseri.
inera d parabolas cadet.
quari corpori quod oritur ex ductu F L in alti
cudinem AV.
ptus sc Semicirculus AP D: descripex quoq.
Sine parabole similes _ aquales AEC, DFB
habentes apices in A e D, e communem axem
AD aequalem laceri recto, corusigitur circulus
Dicocorpas oicum ex ductu IIFIM 6L, 2
Demonstratio.
( (CE EF CX CF C C
Ao26. pa
Veantur intinire OF F. TFT parallele ad AB X iunBC A T, C L FCCEX A T Xequales
TUnCTTE, _ DIrecTA aquales sunE FIF: est aucem AD lince aequalis FIC cum
AC quadracum AE, IBIEUEVE D A ad AI, CC C FI ad FIF: sCd vE AD ad A T, siC
DP Cs ad LFI, isitUT CHL ad P. FI, AC D Lad THI, id eAt F FI adTFT; _L BEF COnUEE. CPac Cd
LLalMa3
AOC 6. senti.
    e   e   e iat e e e  e t      et  it     a    i    a   s   A