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# Page: https://leibnizlegible.com/page/1815201908:0923
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0923?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 866, page id 1815201908:0923
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=923
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000923.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.91
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

866
EROOE N LV H.
Sarium fuie, sor idipsum praestarem. conabor rto
dem huius rei conceptum his scematibus expri-
mere. Sint duo curua R es B, comparanda
cum duobus rectilineis C e D, sint que partes
curuorum E, F e G, FI proportionales parri-
bus rectilineorum L, LL; L, M, hac lese eFra-
tio F ad E eadem sit cum ratione R ad I: ra-
tio similiter FI ad C, eadem cum ratione M
ad L, sic tamen vtratio F ad F, non sit simi
lisrationi LIad O, e consequenter rario K ad L
sit dissimilis rationi M ad L, atque talis ratio
comparandi reperiatur in omni subdiuisione par-
tium curuarum quantitatum cum parcibus sub-
divisis quantitarum rectilinearum: hinc liquido
apparet necessarium fuisse rationem excoeitare,
qua formariposset discursus qui loco quatuor ter-
minorum proportionalium Veretur octotermi-
nis, ita ve lexitime inferri posset, sieut se habet
ratio F ad P, adrationem  ad C, it a se ha-
betratio R ad l ad rationem Mad L. atque baecratio discursus complectitur diversis-
simasrationum combinationes, modo diversitas assumpra in antecedentibus, assiene-
cur etiam in consequentibus: unde diversissima etiam quantitates inter se compa-
raia ostenduntur certam obtinererationem, cum quibusuis duabus quantitatibus,
modo leces serventur ad talem discursum conomnandum necessariae. Duemadmodum
ex huius lectione libri studiosus lector abunde intellicet.
c