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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 68, page id 175905688X:0090
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=90
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000090.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.76
# 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.

Y E O M F Y R E A
Nam SicuE Y A ICu YB, qua ipli est requalis, se haber
2dYC; AcY C Le habet ad YD; ex YD 2dYF.
Fodem modo ad inveniendas + medias proportio-
nales InEeF Y A _ Y CE; aut ad inreniendaS S INECK Y A
_ YN, describendus eAt tantum circulus Y F C, qui
sCCANS CUEVaM A F in puncto F determinat lineam re-
ctam YF, quae una est ex quatuor quaeliris proportio.
nalibus; auE circulus TTIN, quI SCCAMS CUEVaM A FI in
puncto II decerminat iplam ZII, qua una est cx ser
quaelicis proportionalibus. Et Sic de cateris.
Verum quia lineca curva AD secundi cA generis, et
dux medix proportionales inveniri possunt per sectio-
nes Conicas, qua unt primi generis; tum ctiam, quo-
niam + _6 medix proportionales inveniri queune be-
neficio lincarum, generum non adeo composicorum
aCGVe AF SE AII: peccatum eser in GTCOmCETIa, (I
illaehic adhiberentur. Ouemadmodum etiam ex alEera
PartC PrO PecCato reputandum esset, s quis inutiliter in
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