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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1066, page id 1815201908:1123
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EONOFDES PARABOLI
Suli nImIuM A F. C FT ad spacium parabolicum AC C HL, led hanc eNe rationem
lex actescratuor Facile etu a etoato2  palaobia. uate eriam paral
1066
qua lex ad sacuot.
11.
bola AB CFT ducta in le acllatglilum AL. CHL in le ductum rarionem concince
AOPOSIT
CX Lr I.
Vonoidesad inlecipeum conum
cam racterseus Obtinet quae cle
Demonstratio.
inter LEx _ QUaTUOT.
Scensum est praecedenti proposicione
parabolam A D B C. ductam in lc 2d
criangulum A F B C, in se ductum cam ha-
ducta in se ad triangulum AFBC in sC
ductum, cam quoque obcince conoides
im ABC; cum quaccaca Palallelarum bali in parabola ad
circullii(de parallells. veradiis desecipl. ereo similitere discursu quo vu sumus
berc racionem quam (ex ad quatuor: (ed
quam racionem habet parabola ADBC
quadraca parallelarum basi in etianoulo eandem incer se concineane racionem, quam
OStTIO CLVIS
Onoides cylindri quo contnetut amaru elt.
UI
ABC 20
PEop. 129. hutus, Conct us propolirum.
Demonstratio.
Xlindeus AB C cuius basiS D L. C, Id
veco cylindri axe F MI, qui ee conoidi com
munis cst, per cundemac sectio exhibens
parabolam DHC; dcinde dclon para-
bola DIF habens axem A D. Odcaneur que
monstrata erir quactacim C I aequale re
ctansulo GTI L, vidc per quadraselimam
quincam libei de auctibus, Ct uclum in
FTL, aequale solidum tormabic magnicudi-
ni quae tic ex ductu. C LMlciplam, hoc est
ML Xquale COrF
beac inscripcum conoides DFC. In
GHTIMKL Paraicta BumacuM POlEX
C D. ex ijs que libro de parabola Tunc de-
ex duccu ITM in sciplum cum HIM. IOP2
rabolae caedem sinC. AEqui C MI duccum in
hunc ex duceu OFI in HIL, _ ex HIM in
MR: Quod colnsur ex 46. de duccibus, cum rectangulu CM L aGu a
gulis GFTT, FIMR. Pgitur cum GFT in TTL, aeguecur HIM, ducco in sciplum livo
BExdis-
crsu 12
in MVepac e etu MF3 dupluti este HM alicu in MK, hiuc inscip-
cum. Lccundem habec racionem b GM duccum in M L, ad LCM dCC ML
quam habet eftas L auCbnoides FTK, cum quadrata C H dd Guatala IL. HI.
eandem racionem contineant cum circulorum racione qui hiune radiis CM ec HIM.
Tsicur eriam exlindeus CP duplus est conoidis inscripei, quod demonstrandum fuic.
Breuius ex praecedenti idem demontrabicuF. Cxlindtus ambiens coni inferipe
criplus