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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1156, page id 1815201908:1213
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Y ADR A TVR A CTRCYL.I
ADEOSIFIO LXZVII.
VIcaxis AB parabOlarum ACD, BFF _ ATC, HTKO Subalterne
consticurarum: Cumpris deinde AN, OM inter le x qualibus ee Simili-
TeF AO, BP, iItaVENM sic aequalis O P, ponancur ordinatim NILL, MRC
_OE,
Oporrear aurem racionem exhribere quae cs incer corpora quae oriun-
tur ex subalcerno ductu TC K in HTLK _ ex duCFU R DF In E R F, vel in-
cer Colida quae hunc ex ductu subalcerno planorum LT OR in HTV R,
BE RXZF INEF XX.
Constructio ex demonstratio.
Demonstracum est a quod
proportio que cAincerra-
tiones solidorum quae RUnE CX
ductu LC R in sc, & ex ductu
RDE in Ccipsum, _ ex ductu
plani R FZ. X in (C, _ TROY
in scipsum, eadem sic cum pro-
POrciOnC quX FePCTIEUE InFCF
Faciones corporum gux hune
ex ductu subalcerno corundem
Planorum. Igitur permurando
eciam proporcio quae cA incer
rationem (olidi ex ductu ICR
in (0 ad Colidu ex ductu R DL
in sc, e racionem solidi quoc
nalcieur ex ductu subalcerne
PlaniICR in TR FI, ad Colidum
quod Ac ex ductu subalterno
Plani RD F in BR F, cadem
eAt cum proporcione que exictie
inter rationes corporum quae
naICUNEUE ex ductu FRX L
in (C, _ PFOR in le, ex rario-
nem solidorum que hune (ub
iidem planis subalcerne ductis
in (c. Igicur E proporcio Fa-
cionis incer ICK in sC du-
ctum, ee RD P in se ductum ad
TACIONCM INECF R FZ X, in(c
ductum, e IF OR, ductum in
sc est reproporcio rationum dp
porrio inter raciones corporum ex ductu LC us d  in le ad rarionem Coli-
dorum ex ductu subalcerno corundem ortorum, cadem erir cum proporcione qux
est incer rationes corporum quae gignuntur ex ductu R X Z in sC, de PTO in se ad
rationem corporum quae oriuneur ex ductu subalcerno corundem. Ac proinde
ve est proportio rarionisinter TR C, ductum in se subalcerne ex R F D subalcerne du-
etu. d racionem IR C in se ducti ad R E D ductum in (c: ica eAt proporcio racionis
inTET F R X Z. ductum in se subalcerne, e KI T O subalcerne in se ductum adracione
FRX 2
as
_ n eriam proportio qua est incer rationes corponn quae oriuneur ex ijsdem pla
nis in se Subalcorne ductis eadem eric cum proportione nu _ W K, quare Criam PFO-