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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 963, page id 1815201908:1020
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rAGTLA CYLINDRTCA.
Demonstratio.
alcicudino. diuidacur deinde ar-
cus BC bitariam in F, ex per
punctum F axi cylindrico x-
quidisteE FKLC; IUngRnEUE
deinde CF, FB, ER. KB, CI.
quale ehe; Promdeque eu
ex alcicudines sinc equales, quod
BII Scparallela ad C F., Py-
xamidem CFRV B, prramidi
C1OEL Patem enC. SCuus
subdinidatur bitariam aEc. USC F
quidistans L M N O; Iungancus
quoque C L, LF, L.L IVK.
CM. MB F. O. OC. Suonta
isitur L ML ipNO ett a qud-
crapestu CLML Clapeo CHOF aguae. duce e e C
requidiltans, maniteltum elt lolidum C. L. NR. R L. lolido CNOF. IC aequale exin
Aerc. hac constructione lemper continuara ex omni parre auferentur semperxqua-
lia, deque adeo quanca cunque pars candem à corpore D B F CP RB per Limiles in-
Ecripriones auteraeur, porerie xouale quoque auferri à cxlindrica quantitace
DETCR OFT. Pertales aurem ablaciones sine hne continuatas relinguerur tandem
ex veraque quantitare solidum dato minus. Ouareper ex quae libro de progreHio: B Coroli
nibus Cieomerricis praemilimus, bnecese CAEOTDBF CE. R BtOrIDHTLCP. C, FIu6. pro-
aequale existere. Ouod tuit demonstrandum.
ROPOSIIIOX
ercst.
(VngANTuEC B. EB, CFLEF
igitur prramis DCLD Ps
ramidi DCBHI, aequalis est,
cum linc super eadem b2l d
TTI, F O, GTI. quoniam ergo
AFK ipE IC aequalis cs, sic-
ue FC rectae C P Parallela,
peripicuum cu, Crapezium
CFKP crapeziO CIOF X.
In F, _E PEF L POnatUT aXI X-
lis, e L O PalAHCIa C F, ClsC
2 8. buius.
In Pliteto C, crigatur eL eua aGudillet AF. perticiarurque rectan-
Dico parallelexipedum sub bahrectansula BC. FI ee alriciaihe Le
maius esse dimidio quarex parcis exlindri FBDM C.
Inisa sIE A BF diameter baleos exlindri ADC in B bilariam, e ex
B adiplam normalicer erisatur B, diviladenique BD bitariam
Demon-
sulum parallelogrammum BC FI.
   e  p p ir se   u ea i ae ut taue  tie  u at e   put e a pua tie i e         e            n  a  il