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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 889, page id 1815201908:0946
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=946
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine
# Lines: 62 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

 FON EFR IC A.
Constructio es demonstracio.
Vmacur quauis C, d MaE
veD ad C, ita C ad F,C-
dove B Ad A, ICa HaC F, dd
2. Dico racionem L. C ad
CD racionem, eam conci-
etraganam
nere proporrionem qu’ari tn
isicur ratio P.C ad racionem C. B, elt re A ad B: luncque Cd D, harum FacIOnUI
termini conlequentes. Prals cus Gubai petatum illetal.
eROPOSITIO ZXXI.
A ad B: Duohiam estre. D ad C, ita C ad F, crie racio F. C ad O D rationem, ars haiu.
ve eA P ad F: led est re F ad F, ica B ad A, _ inverrendo A ad B, VE F ad F.
Acaratione AadB, de deaotibus duarum Lactonum C a B
denique termino E. asTigNaTE quarruM F, it a ve racio data AB ad L. L
quencemratosellIs, cu-
ius denominaror esse de
Bec D, AaC, VCC 2dD, it=
A ad C: deinde veB ad,
It 2P ad F. DiCOFcerminuBOrPO eI
eNC GUXHIEE: CUI CNIM BEVE
F, dd F, ita B ad G, CtiF per
23. huius, ve A adC hoc CA
ex construct. ve C ad D, ic2
ratio AB ad raTIONE F F.
Duod A quXeTAEUE vE
quancitas R Sc ancecedens
in ratione cuius denomi-
nator est D. Fiac A adC,
Renct. C ad D, ita rario AB ad PF, rationem.
Oporcear vicerius ita dis-
Ponere terminos racionum ve
QuanEIEAS P CerMInUS AE COn-
sequens illius rarionis cuius
denominator est C. AaC VEB
ad A, it2 F, ad G, _E VE D ad
C, ita C ad F. DicoB esseter.
minum qua sicum. cum enim sic B ac LC L ad G, icerum rario F P, ad ratio
AB, ceam cominet proxortionem quae inuenseut Met sd C: led quia veD adC
ita lacta Est C ad P, erie inverrendo C ad D, ve F 2d C. ergo racio L L. da L AHO.
nem A B cA vE C ad D.
jam mechodum qua quanci-
eas P Bac anrecedens illius
racionis que denominacorem
hrabet C. Fiacehmre C al
ita C. ad F. dico factum. nam
racionereule
Porcede primocermi
num F. esse conse-
Consructio es moio.
des esinitet
enim inuercendo ve P ad P, ita B ad C. quareb denuo, rr A adC hoc CA ex con- b 13. huiuo.
ve C ad D; _ re G ad B, itA E ad F. Dicorursum F esse rermit
2
Denique tuos Cas Ct.
D, ica Fide teLLuB
i
perten.
33
333a
 e e . 1. . 11.1