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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1147, page id 1815201908:1204
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AADRATDRA CIREVLI
OFEB ductu in se aquecur prilimalt d Vul N OBM, ee alcicudinc A L d OFLB
ducluim in GOBI aequare Hl Corpori habenci criangulum aequale Agure OLLB,
(quam ad rectilineam reduximus 2) ex elcicudine GO, manifeltum cI EOEUM COFDUS a Part. S
ex ductu plani O F P. L In sciplum reductum ese ad Colidum baleos figurx rectilince parab.
e alcirudinis nOcx. quod praestare oporruit.
PROP OSI FI
Elumpca figuta popontionis 50.
O
L X V
Dicoproporcienem qua csincerratione solidi ex plano D L. B)
patabolico in se ducto ad Tolidum ex plano parabolico Fil a d ducto in
Le, ccincer rarioneht tondi ex ductu plani F dou in se ducti ad Colidum ex
ductu plant patabolet Lno B in sciplumnoram ese.
Demonstratio.
DRCCedenri enim propolionE reducta lurE SinGUIA CA COrPOTa adt prilmata qux ba-
sim habene rectilineam e alcieudinem nocam. ledinter quacuor calia corpora pro
portionalicas noca elt. Per ca qux docuimus libro de proporcionalicaeibus B. IBItuF CF. B Prop 17.
ium proporcionalicas incer corpora illis aequalia noca exit. Duod tuir demonctrandu.
05
F1O LXVI
Elumpea cadem Houra.
Vi
LL Dicoproporcichem quae est incer rationem Colidi ex plano DE B i
ducto in sciplum subalcene ad Colidum quod sic ex Cuperticieis L. d ol in (e
subalterne duct a, e incer rationem Colidi genic ex ductu subalcerno in se
plani Fdouad loluu quod oricur ex ductu plani B L. uo lubalcerne in
Demonstratio.
Demonstrarum est proposic. 61. Huus quadraturx candem esse propertionalicare
incer corpora que oriuntur ex planis pE Bi, F  d Fd5vde  alctis
d incellolida, que tiunc exii(dem planis ductis in se ubalcerne. led propolciou pla-
cedenctoltensum clt, nocam esse proporrionalicacem incer corpora quae ortene es
Planis p E B i, F + sd, Le 5b, _ B F no in se ductis. Igicur noca cric proporcioiali-
ias quae resulcar in corporibus que tiunc ex ductu carum dem superticierum in se sub-
alcerne. Duod tuic demonstrandum.
D LXV
X
DROPOS
TInE A e B verriceS PaTAVOTAT LMBAITeKHC POrCatE aGuatI
le, Molam elle.
Deductisque ordinarim BD, A F ad axem AB, super A B dolcribacur
circulus AC B, _ constica oaal 6L, M.
Dicorectangulum C F. LadM FO, eandem habere cationem quam
Demon-
trabet C a P L. adt Bt.
S  .     i    .   .       .  e    1  e 1  te    1  .     .   t s .    .    te  ale n    pint