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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 228, page id 1815201908:0285
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11a
A D R OL E G O M F HM 
228
minima. Ducacur enim guaeuis alia perpendicularis AFI, (nam quod AD minor
sic quam B A, iam octenlum cst) eric lixc eriam ad peripheriam DFTF: iungatur
DTT: in criangulo ADFT, A D opponitur angulo ACUTO AFTD; AII rero angulo
recto ADTI. croo minor est AD quam ATI.
Hloccorollarium rerum quoque esse in calibus duarum praecedencium theOre.
macum, eadem plane demonstratione probabitur.
PR OPOSITIO VII.
cono scaleno daro exhibere minimum criangulorum sectione per
Perpendicularis vero quae incidir in punctum D, ac proinde eadem est cum recta
AD quae a vercice ad balim coni normalis ducicur, omnium perpendicularium est
Constructio es demonstratio.
scalenus ABC, da.
EnS AC, cuius vercexB: Cen
erum baseos D: axis vero BD.
demiceatur ad balim coni per-
pendicularis BF. & iunganteur
LD. quae continvetur vique ad
vecnerrum balcos. verimque in
A e C, Factaigicur sectione co-
ni per apicem B, _e lineam
AC, Producecur eriangulum per
aXem ABC. Dico hoc esse
minimum corum gux excond
ABC postune educi per arem
sectione Facta. Demonstrato est
manifesta ex corollario 2. propOI.
pexced. hac enm quauis alia
sectio per axem, scilicet D FI.
d e vertice B demiccacur norma-
licet BI ad diameltum L1
junea
emfactâ.
 ue u se e ese et qute es t e   te t  u u es  u pue e te  p ue ste e  i s p 1t 1 t   te  at  e  pt 1 1