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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 945, page id 1815201908:1002
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lat ve F ad F, 1ta B ad C. Igi-
CUFaFaTIO A ad C, eadem est.
cum proporcionelacionum AB:
P F: sedracto A ad B, componi
cur ex Factene A ad C, C+ adB:
hoc est F ad F, duplicata scilice
rationis C a0D; giturracio A
G E ON E F R LCA.
Demonstratio.
MICaca estrationisF P.
adB; ClCordoblica ex racione A
ad C, _ daplicata ratione C ad
D; ledrario A ad B, PONicUE
quadruplicaca racionis C ad D
Igicur racio A ad C, duplicara cAt
223. Buius.
rationis C ad D. quare racio A ad C, Cadem elt cMMLact L. ad F. vnde SC PFO.
porrioracionum AB, L. F eadem est cuntlatione L alt L. uat    B147. M.
EROPOStEtC CLFI
Tracio AB sic duplicata rarionis L F, Fatto quoque C D aupHICala
Deius quam habet C ad HI.
Dico racionem AB ductam in C  Lactortent, Cnvere cupeala
ciusracionem quae oricur ex mulciplicatione rarionis P. Pin rarione C FI.
mongoratio.
A adT. limilicernaet
ad FI, ica F ad R: CrIE raLIO
P ad R, cadem cum F. L
ducta in CFI. sed AL Fa-
eio composica est ex A ad
B, id est duplicata F ad F,
ec ex B ad T, id est per construct. C ad D, id est per lypocheum, duplica-
ta C ad FI, de similicer rario F ad K, compolica est exracione F ad F, X F adR. id
CKper construct. C ad FT. igicurratio A ad I, duplicata est rarionis F ad R. ergOAB
racio ducta in C D, duplicacam habet proporcionem eius, quam continet R F racio
ducta in CHI. Quod crar demonstrandum.
PROPOSITIO CLVTI
VIracto ABGuadrup licata Fuerie racionis B ad C, e BD rario qua-
Dicotarionem quos A ad D, Fore quadruplicaram eius quam habet
Elacve C ad D, ica B ac Y.
eric cigicur ratio AB du-
cta in C e aguas tacton
A druplicacarationis C ad D.
b al 2.
Demon-
 e t ptet et ie ae tat ette e e ta  pt e  t ae t e et at t e u      i u u et  A s u t at ete      t      e e   s i e e    es