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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1133, page id 1815201908:1190
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.86
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QV ADR A FV RA CIRCYD.
P R. O P. OS TTIO LTF
Vinciam denno Caper rectZ A B duo quadrata A BC, ABD constru:
Dcta, e recta AB sic aequalis laceri recto parabolarum A F. C _e BR C
subalcerne collocararum, d communis veriusqueaxis AB, in quo sum
pris HTI d KL. aequalibus incer ses consticuantur E: HP, MIF, _ NK.
OLR ordinacim ad axem: denigue delcribarur circulus AvB Super dia-
merro AB, qui lineaS F. P, MF, N O, OR scceEin a v, 1, 3.
Dico superliciem LL av I ad Superticiem K AEL, noram habere ratio.
nem.
Demonstratio.
Demonstrarum est a corpori ex ductu plani F. FTIM inplanum HIP F F, aequalem
si. tuotur
esse parrem cxlindri super bah FP av Lconsticuram in alcirudine A B. Similices iusque C0
corpori ex ductu superticiei. NVK P O in superticiem RO R L, aequari eylindri paF- roll.
rem cuius basis est R AZF s alcicudo AB. sed demonstracum est b Corpora, qua
illis exlindricis parcibus eguancur incer se noram habere rationem. Igieur eriam par. b +. huiuss
res cylindrice, nocam incer se continenc rationem, se d parres cxlindrica, cum alci-
cudinenon discrepene, eandem incer se racionem habec quam bales HI avH,RAEL.
ergo eriam harum noca estratio. Ouod Fuir demonstrandum.
P R O POSITIO LILB
EOrcCaC candem proporrionem circuli ad figuram rectilineam ex.
Phibere.
EF
601.
  . et   . o  e  p e e e i   1 t      .  1 . .      1        t       a          e a