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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 230, page id 1815201908:0287
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0
PROLE GOMENA
Corollarium primum.
per exem ad criansulum minima. Laclum a tete, esse in proporrione.
axis ad centrum balis ducti, ad perpendicularem A F, III Ig. Propoucios depuq
cum ille veriusque eriatisuli aequaliba inlictentis perpen diculates BIDE. 
Dacet deinden conoscalchoaGuu a LaClA ACCCIONC PeF AxeMNA-
cum Iloscelium esse, cum A F. perpendicularis ostenlx sic secare lineam C C in
parres xquales:  acl
R OF DS1
C
A
ea
inc ex ex corollario secundo sexex huiuspacec eriansulum maximum lectione
Corellarium secundum.
Ropolicum sic in conoscaleno eriangulum peraxem extribere quod
cum minimo criangulorum per eundem facto daram obrincac racio-
nem: quxe tamen maior non existar illâ qua est incer criangulorum
maxiraum se minimum lectione peraxem facta productorum.
Constructio es demonstratio.
AcuS EE conuS sealenus.
balim habens BC D, in
quam normalis cacat AL: 2klo
(C A F. cencrum bau L. d.
eio aucem daFg Hc M ad e. L.C
quoniam illa ponitur non md
ior racione maximi per axem
crianguli ad minimum, neque
maiorerie racione ipsus AF.
ad AF, recollisicur ex coroll.
prxced: Ducto iam per A, L.
E, puncta plano prodacacur
criangulum ABD quod per
7 huius eric min pet adcta
criangulorum; a ssumpca deinde rect a C FI, que lic aequalis P. A, describatur semicir.
culus GTHI, cuius diamerer C+FI, e rectx AF xqualem HII inCcribe lemicirculo:
donique re N ad MI, ica hac FII ad TTO, qua ex puncto FI aptari pocerit in lemi-
circulo incer puncta I, Cn cum racio data M ad N, non sic maior racione AF, 2d AF.
hoc es, iob lincarum ex constr. aequalicarem, TIC ad TTI. Dcindeiuncta O C, qux
cum FTO anoulum rectum constiruer repore in lemicirculo, AanEG L, CR aquales
serridiaMCEO P. B, iungacurgue HL. I. Quoniamisicur bales BD, E, K, 2q l
les
un   e a uiis ui  pi  pi u e   1. te  e  et t  .  e             u   o   e  p  pa aet  au a   paoit