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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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IIdem Poliris:
HIY PF R BO L A:
PRODOSITIO CXLIV.
DICOSESMENEA DMKG, CKCO esse a quasa
Demonstratio.
menim TK, DH linex ostenx sinc aequales, recta quoque R Y Xqualis est
. bu. SC, qua per constructionem aquatE DM: unde cum proporcionales sine
31o7. hu. QC, CK SC: camdlem quoque continuantrationem DC, C K, DM, adeoque
IESMENCAbDMCR, OKO C aequalia LunE.
PROPOSTTIO CXLV.
Adem Hgurd manentC, (i DF, FC segmenta fuerint aequalia, ee per
F e C ductaelinca BE, BS, e BF. quidem patabole occurrat in C,
Ponaturque F. C aequidistans AB:
107. ha-
Dico MDOK legmentum aequari SegmentOO K OC.
Demonstratio.
1t
Vontam seZMenEA CONVexA D F, E G aqualIA PONUnEUE, concaux quoguele
LOENtACDME L, FL CK aequalia lunE; vnde _C ereSANFD, EL, BK conti-
Excon. Hux sune proporcionales, sed _ IK, I L, C KC quoque lunt proporcionales; igieur
persa
us. XN BKL linex aequales lune de I punctum communis interlectio lincarum R B, DB
 huins. CK. GHarC CUM pEOPOTTIOnAleSFANE TR, FIR, F C; proportionales quoque sunE
+2 D. DML, IFK, F. C, id cs BMI, BR, BC, id Scst C9, GK, D AI. Seomenta igicur
hu hD MGK, CKOC aequalia sunc. quod erac demonttrandum. vnde pacet punctum
datub
Ex 143.
uIuS.
C107. ht.
us. 
Scommune csclineis SD, F. C, B S.
PROPOSTTIO CXLVI
Adem politâ ligura, ducta sic quacumque B P. occurrens parabola
Sin F, de hyperbola in F; PONANEUT AITeM FC, FL, DM xquidistan
TeS AB.
Dico scomentum F L. OC. criplum esle seomenti DMF L. 
113B ect
Demonstratio.
1
DOEica D S aquidittante BC, ducatur B S, occurrens hyperbole in C pundto.
per quod recta ponacur GK, occurrec) Illa rectis BF, D S in ino codemque
punCtO F: CFUIHEqUO DMI, FL, CH, irem DMI, CR, O C proportionales: quarese
Emenca DMIFL, F. L C. R,L vEI X DM CH OK 9 C aequasia sunc: adica igic
ub.
07. Bt-
a
 e e i se  e e e. pt ti  tu e e et  t   1e t  e  pet 1e 1 e      1    pt.     e t      t   t   1