# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066520976:0107 # Permalink to this reading: https://leibnizlegible.com/page/1066520976:0107?run=74 # Title: Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa (shelfmark Leibn. Marg. 134) # Folio 87, page id 1066520976:0107 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066520976&page=107 # Source image: https://digitale-sammlungen.gwlb.de/content/1066520976/jpgs/default/00000107.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.92 # 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. LFBER I. CAPUF IV. COROLLRETUM III. In eodem, vel aequalibus circulis aequales rectae aequales arcus abscindunt. FE rero S feri posset ve ab xgualibus rectislineis duo ejuldem, vel agualium circulorum subtensi arcus, inX qua Desestent, procul dubio super una ex aequalibus lineis des- cribiposset alius ejuldem circuli arcus, alceri arcui equalis. cujus salcem aliqua pars supra, rel inera arcum, ab accepta recta linea subcensum, transiret, (nam cum arcus illi po- nancur inae quales, per eandem omnino viam transire non debene,) e sic lequeretur ejuldem circuli radios inter le Enaquales fore, quod repusnaenacurx circuli. A P P E N D L X I. Fiusdem vel equalium circulorum sermenta, aequales ba- ses habentia, inter se aequalia sunt. Nam, ucprobatum est, descriptus super una Cx ae qua- libus balibus propoliti cujussiber seomenti arcus per can- dem omnino viam transiret, quam arcusilliusscementi, Super accepta basi existentis; ideo que idem spatium ambo clauderenE. DE _SU CLRCALL. Lonsum esset recensere omnes circuli proprietates, nec Paris commodus hic locus est ad eas enumerandas. Ouare monuisse sufficiat in geomerricis nihil urilius esse circulo. Ilincisicur omne principium, huc reter exicum. OXX Fizurae denominantur a linearum quibus illa continentur spc- Sic a linearum speciebusfeurae Rectilineae, vel Curvilineae Multilaterae. A numero anculorum LnanEuba, Deb LH. zona Luadraneabae L ebdedaOt. ciebus, vel a numero laterum anculorumve. vocantur. L numato cacciam etduaeta,oras