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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1209, page id 1815201908:1266
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine
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QVA DR A TVR A AYPERBOLL.
Demonstratio
DRopolitione 126. demonstrarum est, quod Rhant rectangulis MIR aequalia re-
ctangula R(O, quod D OC, AE parabOla. Sed quadraca NI aequancur ex ty-
pochiesi rectangulis MIK. ergo eciam si quadraris NThancrectansul2K IO xqua-
lia, erie D OC parabola. Quoderat demonstrandum.
EROPOSITIO CZXXII.
Oro quadeaaequari rectangulum OIL.
Demonstratio.
radracum KI, rectan sulum MLR, rectansuli L. FO sunea proportionalia; (e 4 2 12 4. tu-
rectansulo M LLC extiypocheli pracedencis xquale est quadracum NI, hoc est in
ex hypochesi praecedentis rectangulum KIO. Fririsicurhaec, quadracum K I,
rectanoulum RTO e rectanoulum P IO proporrionalia lune. Sed quoniam re-
ctangulo R IO aequale eAt quadrarum NY, eriam quadEAEA R B NI, TO TUNEPrO-
porcionalia. Ouare cum in duabus his seriebus cerminus primus sic communis, de me-
dius, insuper cerminus rectangulum R IO, aequalis sic medio, nempequadraco NVY.
criam cerrius cerrio parerir, hoc est rectangulum RIO quadraro OI. Quod exac
demonstrandum.
Idem posiris:
Srmibo
  te .   t. Ate  1 t. t te t e t t  e te   r e  1 t At  1 e et t   u e s  Ae  p   e  1  e  .  1  . Ae   1  a 1 t  te 1  t t 2