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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 939, page id 1815201908:0996
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.89
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Aex linc Pacnes bin
C, Sc B ad P, veaucem A
EH det L, HC Hallacio CD
ad rationem G IL. Dico
racionem CHI cationibus
AB, CD, cerriath eAlCPro-
AB est ad rationem CD,
GEOMETRICF.
Constructio ex demonstracio.
LB, C, D. AaEVED ad
pocconaten. Nam racio
b ve A ad T, hoc est per Con
Rructionem ve racio CD
est ad rationm C TI.
PR
Acis cribus ra-
proporcionalem
tioneminuenire.
cionibus AB.
ED, F. F, GuarEam
ZL IV
3. truiur.
comprudlio ex demonstratio.
Lhabent proporcionem quam Ahabet a R.
GIaEVE D ad C, sic B ad K; et inveniarur crario G HF, ad quam FatIO E F Cam C 25 huius.
Dicotactum. Nam dracio AB est ad rario C   d e pet . smu
construct. veracio L. Li eltadracionem CTI.
Scholion-
ncorhic cantisper subsistere ne quis
forrasse in animum inducat, conti-
nuationem rationum non differre a con-
rinvarione illa de qua tractatur in Geo-
metricis elementis, cum tres vel plures
quaniitates eandem rationem perhiben
tur continuare, ac proinde existimet, ra-
riones debere esse similes. Vi eandem in-
ter se continuent analociam: it a vi daris
Eribus rationibus quae sint in continuata
analozia AB, C D, P. F, rario A ad B, de-
beat intelligi esse similis vel eadem cum
rationibns C ad D, ex F. ad F, quemad-
modum contingit, si quatuor quantirares C TL LK statuuneur in conrinua proporiione, um
enim ratio C ad HI, similis est rationibus EI ad I, es I ad K. rerum nullo modo hoc
convent contin. ationirationum AB, CD, F. F. nam sicat quantitas II, potest esse media
proporrionalis inter infinitabinaria linearum L. P MI, C+ ex T. ex c. sic et iam ratio C ad D.
Pocpesmodia inter infinita binaria rationum etiam disimillimarum inter se, uti ex propo-
sitionibus praecedentibus sumosits Lector facile intelliget.
PR C
  ei s uie ue e t  t  u t Ap a e put u ut  e t t te ete u at t  e   t    t   et e    a    ee  t   e 1e    e t p e l 11 1