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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 232, page id 1815201908:0289
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PR OL E C O M L N 
Demonstratio.
Calenus conns secetur per axem sectione
AB C, quodcriangulum producat habens
anoulum ad vercicem B reCFUI: ICCCEUF au-
cem quonis alio per axem plano exhibence
eriangulum BF P. Dico angulum FBF, FC.
ctum ese. Ouoniam angulus AB C est re.
ctus, quadracum A C aequale est quadracis
AB, BC; led supra. octensum est quadraca
AB, BC aguari quadeatis FB, E B. PrgO
quadracum AC aequacur quadraris Fi B, EB.
esaucem F F aqualis recta AC, crgO e
F F quadracum ijldem quadracis EB, BF
aequale exir. quarc b angulus FBP. rectus.
leaque  coniseateni, ec. Ouod tuic de-
monctrandum.
Scholion.
per verticem quidemtranscunt, minime vero per axem; qua cum sine numero sint, hinc
determinatione exigunt ve solutiones problematum qua circa ea versantur, recte expediantur.
ARODOSTFIO XI
per axemmaius est quolibet non per axet.
Demonstratio.
AM A Reti pOTes, POnREux erIargulum
aliquod AF Ci non cransiens PeF AXCM
A F, Equale criangulo per axem dueto B AC,
quod ica in cono ductum concide, ve eius
basis BC sic parallela bah L C, quod heri
Posse constac, cum omnia in COnOFeCtO PCF
axem criangula sinE X qualIa. DUCALHIE CX Cen-
crO F recta FD bilecans basim F. C, iun.
SanEUEGUC AD, PF, _ super recta HIK
xequali ipsi AF, consticue bina criangula
TTIR, ITL R, aqualia ex similia criangulis
AE F, AD F. sC vElacera HI, TR, lace.
ribus AF, FF, d lacera HIT, T K, laceribus
AD, DF equalia snE, adcoquo anguti L
_ L, angulis AF F, A D F LinF X qualCS. Ouo-
niam isitur axis A F Cx hypoc. rectus est pla-
noDaliS, exiecangulus A I E reCtUS. AnguIUS
quoque AD P rectus elt, ve colligitur exde.
monstracis in lecundo calu quareae huius.
Duare recti eriam line anguli I _ L, pun-
eta isitur I, C, EI, E Conc ad circulum cuius
diaeTex IIK. Ec quoniam conus dacus est
rectangutus vel acucangulus, axis AL crit
vel
DRater criangula quae ernuneur ex conosectione per assem facta, alia quoqi assienantur qua
N cono recto acurangulo ee rectangulo impossibile est eriangulo per
Laxem Facto, aequale triangulum exhibere non per axem. Ciue criansulu,
b 48. primi.
u    e e es et ite tete eto t e  e  t ta be t  te e tete e e  t pe t t t   t   e t te 1 e  t ste it s t e t  te  te e e e ( t e t.     e el