# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0478 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0478?run=74 # Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1) # Folio 32, page id 826603459:0478 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=478 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000478.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.86 # 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. EDTCATIO. puncto a coincidie, qui cuus calus cA; quippe cum FC = F A = 2d;) erier B = B = 2d -= O. a - deoque, r = 27 d2 r = 27 d2 8 + 54d 1 ut 299+ 10 i =0. FC PrO. PTerca r= = 27d =r _ r= = 27 d2adco- que r L V 27d L 3d V 3. (POceA enim quadeaci sim- plicio radix exponi eum asFemacire eum necatIre.) Adeoque sre lursum sire de- OrLUM PUIATE, erit OD = 3d V3. Lc propterea urriulquo agPregaTUM, DD =6d 13. Verum, inquies, cum ex hypochet infcripea OO, hoc cA, En PrXlCnEI CAIU, AO, OCCHTERE OUErE in A, erit R ipsum punctum a, punctorum D alterum, nempe Luperius: cumque ci- dem puncto A, coincidar eciam punctum G, qui hieri porcst, uc CD Cuperius, hoc est A A, Ccu porius iplum a punctum, 2- quaripolsie 3dv3: (nil Caltem Hc d =0, quod non lupponi cUT.) FC quidem, cum anica demonstracum AF, AD (hoc cA DD) =3dV3; qui heri poces uc jam AE DD - 6d V35 Dicam breri qui hoctar. Nempes aquacionis r= = 27 d. radices duas (nec enim plures habec) + 3 d V 3, = 3 d V 3, duo designare puncta D (nempe rectas GD GD, cerminan- cia,) quorum alcerum eanco luperius cA, quanco alcerum ett interius puncto C7 vel (in prelenci calu) A: rerum aliud 2d. hiac esse punctum D quod iphi A coincidic, precer duo illa D. hac aequacione delignaca. Ouod ne miremur, animadvereen- m eC, UcuE aequatiO r =2 = 27 d Quadeatica cUm (IC, nOn hili duashabearradices, eam camen unde huc derencum ett, 0d95 + =27 d2E. cubica cum fuerir omnino cres ha- Duisle, (vel reales vel salcem imaginarius;) quorum cum in D: OccTu