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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1054, page id 1815201908:1111
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.
PH AE R OFDF 5.
1054
n 129. hn. roidcos ABCD ad conum inscripeum A lD CB; cum quadrata G P, D L a can-
dem habeane racionem quam circuli radiis CP, D F descripei. Igieur eriam pars
sphaeroiceos ABCP ad Conuncriptum AID CB, habec rationem compoli
tam ex ratiem parabolx AHFL ad ARDL, _ ex alcicudinc OP PCu AM ad
DE alcicudinem. Ouod tuir demonstrandum.
PROPOSITIO CXZXV.
PHaTOES ABCD Sccetur per axem sectione ABC; acque hec ipla
lectio secetur duobus planis parallelis, uno per cenerum, altero Cupra
Cenerum relintra exhribentibus circulos DIB, C F F, in plano aure ABC
deleribarur parabola AL. B, cuius verrex sIcB.
Dico scomencum (phaeroidicum
ABID ad AF FC, Scomentum spha-
roidicum eam obtinere rarionem, quam
superticies AL. BK ad AL. II.
Demonstratio.
duecum habebune rationem ex ijidem compotiram. Sed quam rationem habee
xudicur. AO D L duccum in se ad ALDL, in se ductum, candemrationem habet pars sphe.
viterro.
St enim AF BK in se ductum ad AF FI,
perficiem AI. H Parabolicam; quod oltctse-
duccum in se, MIapercies ALBR ad lu
cur eodem discursu quo vsi lumus in demon-
Aracione 133. huins. (cdre AE BR duccum in
se ad A F FI, duccum in sc, ica eA AF B K du-
crum in orbem bad AF FI, in orbem duccum:
cum quadrata P II, BK eandem racionem
pci. Tgicur eriam atdes AF BLD  PaI-
TCm AF. F C, candemracionem scruac; quam
AL. BK superticies patabblica ad superticiem
Teruene, quam circus tatis F FI, B K delcH-
ALFT. Ouod tuic demonstrandum.
R