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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1125, page id 1815201908:1182
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1.
et
rrio
ectt
BC,
BC.
U
Cort.
1HIHHI
ADRA TVRAICTRCYEL
Corollarium primum.
E Odem discursu ostendieur Coldum quod gignitut CL HEBMENEO MIXEILInCO P P Z. L
in mxcilincum scomentutu
8menco L. R R La ducto in le.
2. LCd aqua sontea Patadbeote.
orollarium secundum.
FAcileiam nobis erir lolidum quod BC ex mixcilineo A P P CB ducto in mixeili
neum AZBO OB, ad parallelexipedum reducere. Nam parabola in (c luela
prodtucie legmencum cxlindri parabolici, quam libro praecedenci ongulam vocani-
musputabolicam, e cubanimus propolicione 99. ciuldem libri. quare cum corpuS
Factum ex A P CB in AB O F, aequale ostenderimus corpori quod gigine LLLLL
parabola in se ducta, hoc est rugulae paraea, aus Ges a a CoAca3
hiueredueto adparalleleppeau Mabia deeaa cocaston ea ABCL
ductoin APCB, eodem acciticio omdn dubuma  te
Pe L L ducto in lesmenrum L. HR L.
PROPOSITIO XLIII.
NIne parabola AC D, BLC aquales led Cubalcernè poliex quas c
acingac AB xcllalis laceri recto in A e B. Ponatur insuper PC F. GNI.
DDFFIN, RIKL. Onormales ad AB, iunganEUT AT, BS, AS _ B T.
Dicorationem corporis orri ex ductu plani C E F. D in planu EOLIF.
adcorpusetductupam mIILRhocam elle, inlupereciam ra-
tionem Colidi quod Ac ex plano P F F O ducto in planum F. M NI F ad (0.
lidum quod sc ex O F KR planO in PlanUM F NO R.
Demonstratio.
E ED eC FGFTF. Insupe demonstratu est cui parallelepipedoxquetur Coli- cundo +2
dum ex planis PF F 9, P. M NFcer se mulriplicatis, quemadmodum criam de huius
Colido ex supersiciebus RR _ FNOK. incer se ductis: quare tario corporum
dequibus asic propol lo a llalialumr eclam nota Vel Hald Cl. SBaIBC
uo
5. de
Scensum eAt cui paralle lepipedo XquetuE CorpuS ex ductu mutuo planorum, corr se
demontctatteum.
11II
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