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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 966, page id 1815201908:1023
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3
N CVL A CYLINDRTCB
AEcceur exlindrus sectione ABFD.
 quae xequidistecaxi: divisa deinde bi-
Fariam recta A B in C, duCATUT Per C et
axem cplindri planum FHCM, duet
deinde A F qua occurrac ip (i C MI in L
per L agatur planum IO K Faciens cum
Olano F. FI CM sectionem communem
LG, TUM per reCtAS AL F, LC planum
AUCALUTAGFL.
Dicolegmentum exlindricum ADF B
plano AL. F C divilum esse bitariam.
Demonstratio.
FRucum AC GT, FruHO RL CLaqualc est.
Fodemque discursu quo probaca fuic horum
Fructorum xqualicas, concludetur eriam aequa-
litaS FPUSOTUM GLCHA, VOLMF. Igirur
Fructum AT G:T Cum FrUSO F, G: T. NIF, X9ua-
CHFFEHSEO RP GF, vna cum FruSO OLCFTA. Ouare srerilque addaneur xequa
ses exlindri portiones TOLMED, BCTTOLK, crunc iria Fructa AL OT.
FOLMF, IOLMED, cribUS REGF, OLCHA, BCHOLR aqua
lia. Aequitiaeceria vlcima constimuune segmentum AG FB; tria vero priora consi-
eiunt segmencum ADF C A. ergo illa quoque segmenea funt aequalia. Segmencum
isicur cxlindricum ADFB, plano AC FI. bifariam eM divisum. Quod tuicde.
monstrandum.
PROPOSITIO XVI
TNgulam AD C dispescat planum DB C axi equidistans, extriben
Fructum eius DCC B, acto deinde per axem cylindri plano L FC,
quod arcum DF B bilecet in F, alsignetur communis interlectio super-
Ricici cylindricx cum F. FG rCCtA F C, DE reCta MH communis inter-
Scctio planorum DBC _E F F G, policaque FTI, quae sic parallela F. F,
ducatur planum per HIL, quod scx quidistans bali AB D, quod com-
munem incerlectionem proferat IEL. cum plano D BC. candem secun-
dum rectas F.C e KL, planum ponacur cerminatum in cglindio se
CTiOnCLGK.
Dico DOCB aquale eAe solido D K O L. B.
PROPOSTTIO XV.
Demone