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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1202, page id 1815201908:1259
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Constructio es demonstratio.
TaE VE PFI ad PA, ica PD ad PL vel
PN: _ delcribatur quae cungs ellipsIS LMNF,
cuius axis maior sicL NV. DicoFactum quod re-
quiricur. Ductis enim PM, PO, _C P, PI:
ericlector GP Tad luum circulum AB C, VE SC.
etor cllipeicus M P O cA ad lua cHlipAM L NI N.
ac proinde seomencum CFTKI ad circulum
ABC, VE sESMENEu DMOF ad clliplim
LMN. QuodtuerarrequilTuI.
PR OPOSITIO CXVI.
IEA cenrrum circuli B CD _ ellipleoS
LDE FC: ee ponancur, ordinacim ad
axem communem recta CII, IK, aequa-
lirer à cenero remorx, Curque sector AO P
commenturabilis sectori C AI.
DicO (IHEVE F C ad BD, ita N A ad
M A, _ sectOr O A P ad circulum BND
eam rationem habear, quam sectorF AL
ad elliplim FMO; quod sectores FAL,
OALxquales incer se CINE.
Demonstratio.
Vncenim a cllipsis  circutus incer se ve
criangula MaXIIA IN SCrIPEA MEA, NB A
Temicirculo vel. Temiellipsi. Ouare cum aequa-
lia smecriangula illa his figuris inseripta ex eo
quod circa communem angulum lacera habeane
perhypochelim reciproca, etiam figurx ipla -
quales erune ac proinde criam sectores F R L.
OAPEquales sunc, qui ad corastisuras camdem
Corriuncur racionem. Ouod eracpropolicum.
eROPOSTTIO CXVII
IIdem posiris ( ellipsis eran scar per puncta C de P circuli BCD.
Dico quod Scctor F AL.M F minorsir SecOrE C AINC.
QVADRATVR A CIRCVLI.
Demon
1202
191. oie.