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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1036, page id 1815201908:1093
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105
P R O POS ITIO CTII
YNGVLA EARABOLICA.
VITCUTUI ABC MA IMum In Iphara ABC KL, cuius diameter AC,
LACONTINSANE AD, C F. xquales diameero e iunsanturDC, AL. Pro-
ductis deinde F C in F, _ AD in G, ve DG, FC sine aequales lemidia-
etro, circuli pOnanEuE F C, e F A. secer deinde III aequidistans OA,
circulum in B, aponarur AII.
Dicolphaeram ABC plano ducto per HBI, recto ad planum circuli
ABC, dinilam esse secundum eam rarionem quam habec pyramis ex
ductu crianguli AC. F in AC F criangulum, ad prramidem quae hc ex
criansulo AL. I ducto in AL. H criansulum.
Demonstratio.
 Scenimeatio semicirculi A BC
ducti in se ad parrem ABL, in
se ductam ve cst sphara ABC K,
ad parcE B AM, n2 quadraca P
e NO, candem incer se racionem
servane quam circuliradiis PO e
NO delcripei. quam seguela pro-
politione cecelima vigelima nona
huius exactius de rniverlalicer pro-
babimus: sed habetur exprecede-
tibus semmicirculu AB C duetû insc
ad partem ANB L. in se ductam,
cam obcincre raciotrem quam
ACF, ductum in AC E ad AL. I.
ductum in AL EI, igicur criam
sphaera ex circumductu ABC, CC-
micirculi circaaxem AC ad PaC-
cem sphaera qua sc ex circulacio.
nE ANBL LUPCE AZC AL, eam
habec racionem quam prramis ex
ACF in AC F producta, ad py-
ramidem ex A L Lin A LHerian.
gulum. Duod Fuic demonstran-
dum.
adC03221O CN
ispoliuis dacam pheca lecullauum quamuis sacionet aldetus
alia curtum praxi quam Archimeaes.
601