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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 134, page id 1815201908:0191
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.79
# 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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CF
plana AMB, BHB. cl. uma mer que Polta Cut B a, C B, V. 16, Pd.
rallelae incer se, ipsisque AB, BC proportionales. quare per lemma praecedens pun-
eta as B, 3, ec. cum puncto R Cunc in vna cademque linca a R. que cum similiter
dinila (C, ac linca BK, manifectum est proorestionem linearum aβ, By, ec. termi-
nari quogue in R. Sunt aucem ex punctis a B, y, ec. crecta parallela latera aM
BN, 7O, _c. quae laceribus BC, C D, D R, hoc cA ipAS aB, By, YE, TUINEPFOPOT.
tionalia (qua oma palent ex coquoa AML. BN. C. O. ec. limilia plana uunc limili.
cer Gue POlica) ergo per lemma, linea M X crancper omnia puncta M, P, O, P, 
eec. Quod erac demonttrandum.
eet
Sinciam plurium lacerum figurae quarum series cerminetur in K. Ouoniam igitur
Seo lincarum AB, de
CD, ec. Prosletsio ter
aca In R. d ex punctis
A, B, C, _EC. CFIGANEUE AM.
BN,
DP
se parallelae; de p
c. inte
ortiona.
_C
Leta.
c
pl
lal32
allumpinque duabus lineie
LAISI AMI, CO, PCF M _ Odu-
cacur recta MO.
Dico hate productam incidere in K ac per omnium reliquarum extremicates
TFanEITC.
Demonstratio.
CTeNiM IERNON CE; igiTuE MO producta, cis vel vIETA R in B concurret cum li-
nea AK; d quoniam progressionis AB, BC, C D terminus eA R, CruNE AK
a82. huins. B R, 2CR, DK, F. R proportionalES CONCINUIX. QuarC CTIaM A K, C R, F K ex Xquo
br. huius.
c106. B1
sunE continUX. vnde BVE AR ad CR, SC AC ad C F. Aequi C A C est ad C B, in
duplicata rationis AB ad B C, id est ex hypochesi racionis ANI ad B NV; CESO AR
est ad C K, in duplicata rationis AM ad BN: sed ec rario AM 1A CO (VE ex da-
eis colligitur) duplicata cAracionis AM ad BN, ergo AM cA, ad C O, hoc est
NO V ad OV, vE AR ad C R; quod est impossibile: non igirur OCCUErCE MO
ips AK cis vel vlEra R. Ouod erac primum. hoc aurem sic demonstrato, pater se
cuncapars ex lemmare propolitionis praecedencis. Dux eranc demonstranda.
1n2s XLC 240IS P R O. P O S + F 1O - C.XLXHI
At, eC 2B+ 
e
115.
Scplatoul Lcclltula lu nllcccque Polucorum locics
MK, reiprius; e cerminus sic K, per quorumlibet aurem duorum
planorum AM, CO rerrices ducatur recta MO.
Dico hanc productam cadere in terminum IE ac per omnium reli.
quorum
e t   erst e   se A e    et  u  p  te ate  et e  e    pe u   ut   e e t    e     t  te e  e        s e e e  ete  e  e   1