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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio - , page id 834940469:0079
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.97
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definiram et alias quantitates indefinitas praecer ipsos termi-
nos conversentes compositionem non posse ingredi, quo d analv
sam laterenon porest. Obiiciunt alii: hac eadem methodo
porest demonstrari inter duas quantitates indefinite commen-
surabiles P, d non posse inveniri mediam proportionalem il-
lis commensurabilem, quod camen est falsum si P, , sine
planosimiles; respondeo maximam esse discrepantiam inter
radicum extractionem e (extam illam operationem, nam in
radicum exeractione, cum divisor dividendum metitur, quod
in praedictocasu evenir, radicis extractio coincidit cum qua
enor operationibus prioribus, sexta aurem operatio, cum ex
nacura sua sie infinita, cum prioribus nunquam coincidit.
Obricit quidam non vulcaris ceometra circuli quadraturam
ope quadraticis peractam esse operationibus analyricis; quod
omnino neso desiderando ab affirmance, et illas operationes
analyticas assienet, ero enim existimo basem quadraricis non
esse magis assisnabilem ab operationibus analyticis, quam
radicem quadratam binarii a primis quatuor operationibus
arithmeticis.
Solutis objectionibus quae contra nostram doctrinam vel
ab aliis afferuntur vel a me imarinari possunt sarisfaciamus
etiam illis, qui operationibus orranicis delectantur. Si quis
velit organice circulum quadrare vel angulum in ratione
data dividere; non existimo ullum modum esse simpliciorem
quam vulsaris linea quadratrix in materia aliqua solida
ex plana accurate et punctarim descripia. Quod ad qua-
dracuram hyperbolae attiner, existimo satis facile esse trian-
ouli