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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1204, page id 1815201908:1261
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QVADR AEHRA CTRCVEI.
P RC+OSttIO CXX
TAnentibus ii Idem. PONAEUF AGUEX
LVLHONTK aqualis FMVXL, vE
contincac ellipricam superticiem OTR
ve lic commune sparium OFLR, se
BIENIO MFL X.
DICO spatium OMVXR esse con.
cauum.
Demonstratio.
)Scensum enim est segmencum OFR m2-
insesse seomento circuli C NI vel MVX,
isicur si divisa SIE quanEiFAS NIV Z in quaTHOR
videlicet sepmenta AZ, YV, VZ, L. X, aequalia
d collaneur à quaneitare cllipeica verbi gcaria
2O, OT,TP illis aqualia rehiduum eric PR
concauum. Duod Fuic demonstrandum.
PROPOSITIO CXXI.
Abeat ABC circatus cenerum D
commune cum clipE CFC, _
BF, TII ponantur ordinaeim ad axem
E. C, aequidictantes a cenrro D; sic autem
VEKFIL, Ceomencum cllipleos ad le-
ementum circuli BMNHI, ica BOPH
circuli scomenrum ad sesmencum elli-
PICOSOFIR.
Oporceac aurem quacuor allignare
quancicares proportionales incerle, qua-
TUM CESLInE COHVEKX, quarta verd con
CaUa.
Constructio ex demonstratio.
Oma exPrACCd. propohic. ellipsis PFC,
vel concrahivel diducipores ca racione,e
Ccomencum F. P maius ese possit vel minus le-
Elearcus circuli BFI: supponacur lermen-
cerideu hac de seomenco circulari O HI, (guod eriam segmeco ellipricoO F IR
inseribipoceri, cum ponaneur proporcionalia ese leGMenEA K F LL, BMN HI se
ementis BOPHI, G FIR lUPPONAEUEqUE RF LF, minus sCBMenEO MIBNET. l0
ErHOCXCENUS ABUTA VXIF. CTICISIEUIFDEM S T N ad roliduum SB FT F, ita OVZR
adresiduum VFIX. ORensum vero eA SBH T esse concouum d V F LZ con-
vexum. LBicur MS LIN CH  SI BFIPT, vE OV Z R est ad O FPR: e diuiden
SM_ F conueru eit a CBB E LA, _EHIC eA COnEuum BSY H 2d
convexum
1004
cum ellipricum FRL Y minuSCACSCBMENCO CIECULATIM BHN, unde superrecta
MN inlcribatur scementum M S FN xquale seomenco R F IL. Fieritague pars
alia SBHI Y ecldua, qua differaclesmentum BM N H a segmento incluso. Simili.
do MS FN cA 2d SBHIT, DE OVXR, est ad V FIX. igirur permurando