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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 718, page id 1815201908:0775
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ETVS PL AN
Demonstratio.
nicleculo.
culo alcicudinis: dico Rguram AC B ductam in le, superticies producere exlindri-
cas AC, LE, quarum communisincerlectio F L lGura est elliprica. Rac constructio
ouam indicactioura. planum A C B ductum in le. a guatuT AC ducco in lC, _ C B in
sc dueco, vnacum AC ducroin CB bis. sed A C duerum in Cc, cA FII ducrum in
HIO, _ C B in se duecum, eAt parallelopipedum CBDII; praecerca AC duerum
in CBBIs, eAt AC duccum in CFI, vna cum HIC Mcco in HID; planum igicur
ACB, ccum in sC aequatur HII ducco in (c, CB ducco in le, id est corport
EBDHI, d AC ducco in CFI. vna cum HC c HB: planum aucem H I
2s. huins. duerum in le vel in FL C superticies Preb CyIInaricas lF; F C, _ F F commu.
Eis. huius. nem incersectionemellipricam, icem AC ducctu in CHI superticiem c producie
cylindricam AB caldem HC duccum in e lapechiciem producie cylindricam
CE, planum isicur C B ducrum in se, supertictes producic cylindricas AIP, P C P
quarum communis lleccio FF, Agura CA CllipCica.
EOSITIO XVII
Emicirculo li rectangulum circumttvacuI.
undi.
EX I. se
in directum adiiciarur rectangulum CB eiuldem cum semicit:
Dicosiouram concauam que exrima lemicirculi perimerro de rectis
lineis incercipicur, ductam in torum rectatieulum, corpus producete
habens cylindricam superliciem alla  exrimas cres platias.
ooisis
Demonstratio.
Cicirculo CDB rC.
clargulum circumteri.
Sacur C. A B. dico planunt
Da duccum in reccan.
St CAB, COrpUSPTO
ducete habes superticiem
concduam cxlindricam.
Reccandulum C AB du
Ccurtule, vel in rectan
C eumenculo ducio
sulum BFC aQUATuE
in rectangulum C A B vel
Perkcie ducra in FCCFAH-
sulum CB A vel B P: Led
CBD(C.
CBF. vna cum D A (II-