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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 961, page id 1815201908:1018
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V N GVLA CYLINDRHCA
361
residuo quod relinquetur ex ongulari quancirare, cum he pals alcerius residui quod a
exlindro relictum elt. mulco isicur minus erir reliduum rnsulx quantitare M. Guod
oporcuic demonctrare.
Corollarium.
TE reperere cogamue demonstrationes praecedences, Metudere MIs quogue in-
rande casum qui spectar corpus quod resulcar ex lemicrlindro post vnoulae de
cussacionem, hoc est si concingac heri similes ablariones prilmatum a corpOre
LDIBCKL remanebic quoque solidum quanis daca quantiraTO inUS, VEPacCE
demonstrationis iam posice rim consideranci.
PROPOSITIO VI
Tuidane AB, C D diametri balim exlindricam normalicer libi in li-
Rences, e per AB planum secundum cylindri axem consticurum
nonerin cxlindri luperticie rectam AE, que recunque dinisa sic in F. D0-
inae perrectam  puncta I d L, plana ConsitMAnEuTCDF, CDF.
VEFCHIIEENErNQALEGUANFITaTCS C AFD, C AFD.
Ocoincer ingutam C AF. D e ongulam C AFD, cam rarionem in-
tercedere qua cCIHter rectaS AF. _ AF.
Demonsra.
luiso arcu AG D bitariam in G. Ponantur
rectxe AC, DC. Idem Aac de arcubus rell.
duis d lectiones hanc secundum has lincas qua
axi cxlindet aanlictene edees u esta
superticie sellas L.H, 61, dl. Cu lae
grestionibus spremilimus; manifectum est eriam
vngulasiptaS ADIF _C AD FTF, cam rario-
nem continere quam AF. linca ad lineam AF.
Duod tuir demonstrandum.
AFICD corpus VSE AL. D inscripcum, ad
corpus AFECCD. Iua iscla leliprum ve
alinea AP ad AF. SmiliEEF COrPUS AP N IC
inscripea ad corpus A LMHI C inscriprum ha-
bebic b racionem candctm quam AF ad AF.
Corpora aurem illa inscripea, ablata ex quanci-
cacibus quibus inscribuncur; relinguunes ran-
dem dato Colidominorem. Cum igieur per cales
inscripciones sinc Aine concinuatas semper retul-
EOCraTIO AF ad AF, perca, quae libro de PTO-
a0105+
hais
B2. huius
Cb. huius
a mo era
Ececur cylindrus sectione per diamerrum basis AB dccaCVS
lam ADE. B, crect a deinde ex C cenero normalirer C D ad diaM
Erum AB, ducantur lacera cxlindri DF, BMI, ad lacus autem DP. ducta
C F: tant lectiones, vna perlincam CD, _ punctum M in latere BVI,
alcera per rectam C F, et idem punctum M. Ponacur denique linea recta
quauis
u      a et   e 1 e t   te s e  p t e  ate te  e t p e t e s t e s t    et   e  e t t i t t e a e t t ia t  se t at ete  t e  e