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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1159, page id 1815201908:1216
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Y ADR A TVRA CIRCVEF
Demonstratio.
Voniam F B. CC tale aquales linex axi requidistantes ex constructione, siCuE
Leciam F. I de GTI; igicur a rectangulo RRO aequacur YIP rectangulum
vnde rccstR R adF. Y, ica est I P ad K O. sed rectangulum R R est ad rectangulum
GT, e rectangulum GP ad F O vesunc eorum bales, cum alcicudines commu-
nesvelaquales sint ex constructione: Igicur manifectum est rectangulum R R ad
C T. eam habere proportionem quam habet C: P rectangulum ad rectangulum R O.
Duod tuic demonstrandum.
Corollarium.
neliquido constar eriam rectangulum RO ad L S rectangulum, eam obtinere
Lproporcionem quam rectangulum L. N ad RM recrangulum, discursus enim
idem est cum priore quo hoc demonstrari debet: quod similicer incelligendum est de
quauis subdivitione linearum P. B, C. C, modo reliqua seruentur que in constructio.
ne lunc adhibica.
O eOSTTIO L.XXX
Acoparallelepipedumt quod oritur ex rectangulo P. R in sc ducto,
ad illud quoelsionicur ex  L ducto in le, eandem habere rarionem, qua
haber Coliaum ex auctu plani C. P in Sc, ad illud quod sic ex ductu supetH-
ciei FO in sciplam.
1. depa
Demonstratio.
IIdem manenctvus:
Varalle lepipedum ex ducru F. R reccansuli in scipsum, ad paralle lexipedum ex
80.
Parallelexipedorum que hune ex duecu plavi C P in se, de ex duceu plani a F, O in (c- 2 Po
iplum. Soicur parer paralle lexipedum ex plano FR, ducco in se ad Colidum ex C F huiu.
in se ducco emergens, eandem habere proporrionem, quam solidum ex ductu plani
CPinle, ad Colidum ex F. O in Cciplum ducco resulcans.
alcicudines ex constr. sincxequales. Sela susde leperit proporolet bales
Se t   s  A   u  et e a  s te ete e e te      a e te t  t  e  t    e t  e e pet  t a t t   e      e  ste  te este et   e s