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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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S D TI E R B ID F S.
54OGY
Colidis gua procteantur ex ijldem planis in orbem duetis elle proporcionalias
Hlocigicur rniverum demonstracum demceps alsinmentus i Paccemactons plo-
Policionum calibus, non aliam atterentes probationem praerer hanc, quod (InEre qua
deaca parallelarum, ita circuli qui iiidem parallelis ve radiis de scribancur.
Corollarium.
IL propolicione p et H alcicudines B G, P FL sinE a Guau S, p IL Loides eNe ad (pHX-
Croides DPatabola adparabolam.
PROPOSTTIO C= LL.
TMaeroides e Sphaeroides habet ra-
dionem compolicam ex ratione el.
lipleon que per desmaiores RUNC, XL Cx
ratione alcicudnum axium minorum,
vel ex racione Mlliplcon quae per axcs
minores fiune ee alcicudinum maioruim
in spheroidibus lenricularibus.
Demonstratio.
num. propolcione 45. Colida que tiunt ex ductibus planorum ABC, D L. F in ScipCa
sphaeroides cam habere rationem quae co.
ponitur ex ratione inscripeae patabolae emicl,
lips pet axem AF C ad parabolam inseri-
peam semiellipA per axem D R F, d axis FC
ad axem PHI. eA aurem parabola inscripea
ad inscripeam ve semielliplis ad semiellipln.
Tunca enim vecriangula maxima in scripea. Isi-
cur cum rationes quoque P C F. TIlemiaxium
minorum, communes snc racionibus diame-
crorum parabollearum in seripearum, restac ve
ratio AF C; semiellipseos ad semiellipsin
DE F ducta inrarione F G ad B FT, candem
racionem exhibeat cum ratione parabola in-
(cripex lemiellipsi A E C ad parabolam inscripeam DF F, ducta in rationem F. 
ad F FI. Cum isicur illa eadem sic cum rarione spharoidis ad spharoidesi exzo et
iam haec estve sphaeroides ad sphaeroides. Ouod tuir demonstrandum.
EROPOStIIO C4 aXI.
Scensum est in praecedenei sphaeroides ad
213. 81
Pharoides ad (pharam lepla caobet Laone Gu Met
aht
Demon-
u i ie put  te t it   e te  t t     i t   et      . e       ut    p     p  era  er ma