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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1223, page id 1815201908:1280
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DR A IVR A HZPF RBOL 
Demonstratio.
Sechtum estanotam esse rationE solidi quod orieur ex ductuTK L. MLIn K L ON a245. ha.
ad Tolidum ex ductu luperticiei ML HIV in Cuperhciem LO YFI. Simili mo- ius.
dodemonstracum est, hocam esse racionem Colidi ex ductu plani K P O L in R R SY b Ibid.
ad Tolidum productum ex ductu I. OTII in planum LS X FI. Demonstracum ve-
rO eH, CTatIOnem COrpOrISaci ex ductu RIM L. in RNOF. ad corpus productum C14S. hu-
ex duetu plani M I. HIV i planum P OY FI, cories continere rarionem corporis
orti ex ductu plani EPOT in RR SI ad Tolidum, quod Ac ex ductu OLIIT in
planum L.SZFI, quodshaec iplaratio concince rationem solidi, quod orieur ex du-
Atu plani AL I C in plnum R B D P, ad corpus factu ex ductu superticici CP IIF
in superticiem I. DFFI. Ouocirca cum norx lincraciones, quae lunc incer duo pri.
acorpora, ex duo secundas criamnoca exirracio, qua eAt incer duo cerria. uOd CTAE
demonstrandum.
eROP OSITIO CALMIB
IIdem manenetDus: hanc rectangulis ARB, CLD, FHIF, XC. X9112-
Llia eccrs a  LL7, n L. d, DFL2, _C. erit quidem rd aZ hypetbota per
Corollarcuns prOp. 129. huius.
Dico insuxer superticiem KrdL ad superficiem L d a H nocam ha-
berorationem.
emonstratio.
Demonararum cA a corpori ex ductu pa AR L. C in planum KB D L d COF-. d 246. bit-
pusorcum ex ductu plani CL. IIF. in superticiem I. D F Anocam habere racio. ius.
peII. sed eriam demonstracum est ccopori ex ductu ARI C in planum RBDL, ju
aequase esse Colidum exbalihrperbolica R ydL, ec alcirudine cok; e Colidum ex
balihsperbolica Ld n FI, e alcicudine ML, a quale ene Tolido ex ductu plani CLTIF
in Pranum FD F FI. Tsicur cciam incet duo Colida haec, qua bales habene hyperbo
AICas Ry dL, ex L. dn FI, e communem alcicudinem, racio noca eric; ac proinde et-
iam inter iplas bales erie noca rario, Cun lxec corpora demonstrata sine camhabere
rationem, quam iplx bales concihelit. Quod erai propolicum.
30. 1oto
PR OPOSITIO CXLVIII
Ichyperbola AC B axis A C, CA GuoMPES D, LL aquai
busincer sc, ex constiruris ctunarim BC, LB, L. C ponantur b,
FC. Tubrenta arcuum BF, LC.
dlesmenrum BF minuselle eslte.
2C2
Zonton.
n o