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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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uin
PROPORTION ALIT ATES
PROPOSITIO LXVI.
OI ad DKrationem, veratio FL ad rationem (IM.
Dico eseI adR, veL est ad H.
384
Tcratio AB adrarionem CD, verario F F ad rarionem C FI, et rario
Demonsratio.
am cltrario A B ad ratIB.
C
v
10P. P a
Facionem, et ratio A ad C, cac
racioni F. 24 C,, 1BIcur a B est ad
7
et
D, ve F ad FI: CA aUTeM FaTIO
 autelaltortem, veracio F P
adlM racionem, d elt olteu
B esse ad D, BE F ad H igicurracio t ad K, eadem est cum racione L. ad H.
PROPOSITIO LZVII.
VIEqUanEIEaTES A, B, C, D, F..
nuM L. LI, CB, cC D all L.
Dicoproporrionem rale A, C. b, dd Plopoonem Falio.
Demonstratio.
Tac ve B adC, Ita A ad F, rario
isieuE. D A, b ad racionem C B, est
Dc D ad L, Ldcio gubque F A ad ea-
cionem CB, CA VE F ad F. CryOVC
Lacio DF, ad lLracionem, Ica PrO
corcio racionum DA; C B du P10
CPerZ. hH- DOFEI
ius.
em rariOBUM P. A, C B: est aurem cratio DF ad F F, vE D ad F. igIEUIF PEOPOr-
cioracionum D A, C. B ad proporcionem racionum E. A, C B, est vFD ad F. Quod
tuic demonstrandum.
PR OPOSITIO LXVIII
atis quoruis pari numero rationibus.
carum denomissatos
Oporccatrationes exhibete qua coe te aco ta
Constructio es demonstratio.
AExX CnErationeS AB,
FF, O FI qua
cum denominatores sInE
L, R. L. M. AacVEM ad L.
ica K ad P. DicoL ad P.
racionem eAle eam qua
Poctulacur. Fario enim Lact
P exhibee d proportione
S13. hin. QUaM PaTIOneS COnFIHENE YR d L. M. qui ceM ex Costructione lune denomi-
halesrationum dararum AB, CD, P. F, G FI. Pgicur manifecum est rationem L