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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 905, page id 1815201908:0962
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# Lines: 51 recognised, mean confidence 0.86
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GEOMIF T RIC A.
905
rationn cacatu.
cer praxis colligi pollic de quouis numero racionum qui parlic. nam linumerus rario-
nu impar tuerie, ancecedens remanebic Ane conlequence: quod per te est manitectu.
PROPOSTTIO LAL4.
Als Cribuscationibus quibulcunque AB, CD, lla Gualicace (.
Oporreatinvenire quantitarem HI, vesic quemadmodum racio
AB, ad rationeM C D, ita P. F racio ad rationem C LI.
Constructio es demonstratio.
namratio AB estad racionem
CD, Ve a AadR; hoc CAt CK
constructione DE LaLO F F ad
racionem CFI.
Si volueris quancitatem da-
eam C esse consequensrarionis
quaece, Cimili discur (u per 31.
huius habebicaE InEENEUM.
P R O P
ilacre D ad C, ita Bad R: ee
Per 3r. huius, invenIAEuE
quancicas FI, ve sic quemadmo-
dum A ad R, HCFacIO F F ad
rationem HI. Dico Factum:
ad P CAI CNE qUA dOCCAE PEOPOTTIOHCH GLLAH COMCMKLHCTACer Se denOMInatOrES
Ouod quacuor assumplerim rationes, co feci consilio quod ex eonumero sumtetel-
ITIO LXX
AEX LInE ErES ratiOnES AB, CD, E. F; &e alia quancas .
Oporceat aurem deccrminare quantitareu ne Ploportio ratio-
num AB, CD, ad proporrionemrationum E. F, O t, datam rationem
obcineut L alt l.
Constructio ex demonstratio.
FitaE B D ad C, SiC B al
cum rarione AL. lnuc- B.
niatur c deinde quancicas e
M; AC vE racIO A L SC ad
ratione L M, estque per constructionem rario A L ad racionem L M, ve l adR: CF-
iam proporeio racionum e B, CD, erit ad proporionem rarionum R. L, CTFL, VeI
ad F. Factumisicur elt quod perebacur.
L. Cheltsob proporcio
rarionum AB, CD cadem 
TALIOREM EMI, veT ad K.
DCMU AAC VEM ad F, SIC
c25. huiu
vel 3c. 11
in
C ad HI: crirque inverrendo FI ad C, Ve FadM: ac proinde proporrio racionum
PF, CFI eadem est cum ra . achiam igieur proporcio rarionum AB,
CD eadem eIECUM FAEIONC AP, _ proportio rationuM R F, G FI, cadem est cum
tto1212132213 26 27 10 20 20 22 22332A 35 202
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