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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 226, page id 1815201908:0283
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PROL F GOMEN A
DO: cririgitur quadrarum AC xequale quadraris AD, DO, hoc cA quadraris
AD, DFI HIC: quadracum aucem AII aequale cA quadraris AB, II. 
excedic AC quadracum, quadratum AHI, quadrato IIO: igicur quadratum AC
quactatis AFB HIC MMaGa adeodeca HEl horinalisadlincam L Ct. unde
L2b
pacernormales omnes a verrice A hoc uCal all bales criangulorum perarem de
millasin circuu l Cadere.
Calus secundi e cercii quando balis criang uli auc concingie circulum DFF, duE
incidic in BF. C, eadem est demonstracio, qux proiildem calibus superiori propoli-
cioncallaca eHt; conusigicur lcalenus, ac. Ouod tuic demonstrandum.
PR, OPOSTFIO YI.
in cono scaleno perpendicularis a verrice ad balim duera extra
balim cadac, productum sir aurem sectione per axem facta quod
cunque criangulum:
Diconormalem a vertice ad balim crianguli ductam, eNe ad peri-
pheriam circuli, cuius diameter est recta incer centrum balis coni et
perpendicularem a verrice ad balim coni inceriecta.
Demonstratio.
Xcrabalim coni scaleni A B C perpendicularis a vertice cacac recta A D, 1dt2-
GNC per CenEruM BaseOS F, recta D F circa quam circulus deseribatuE D HF.
Donatur quodcunque rriangulum per axem F AC: e procracta OF vique ad pe.
ripheriam circuli D HTE (ponimus enim primo Basim F F secare circulum DHIB)
domiceneur deinde recta AFI ex puncto verricis A, 2d punctum quo lecaeurcireu-
IuS D EIF 2 linea OF. Dico illam Fore normalem, ad rectam EF productam. du-
cancur enim DC, DII: cricigitur quadrarum A C Xqualc duobus quadracis AD.
DC: (quoniam A D normalis cst ad plani balcos productum, a deoesi eciam ad DO)
131121
 Hoc