# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0477 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0477?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 31, page id 826603459:0477 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=477 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000477.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.89 # 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. U DEDICATIO mus, (communis in- cerfectio Diametri AP, a inscripeae OO, (al- cem productorum;) quipDc DO =PF =3d: adeoque OD- pI DC = q 3d = Y. Adeoque jam licebit. Alibeac, quancum ad puncta D delignanda punctum D negliperes adeoque linearum ae x, p, contructionem. qua ad dehienandum D punctum insticoea cA. cum non minus postie punctum D per iptus a puncto C distanciam deienari, quam per di. canciam a puncto D. Nec incerim hinc alia quid mali meruendum quod nonnunguam 3d maior Eie quam 9. Nam ubi hoc accidit, CD --9 = 3d -r (hoc est, quarenus luoponicur Curtum lumenda) cR quanticae nesacira, adeoque punetum D (quod supponitur Cupra) cadic intra G. Ouod quidem, quoad D intimum, semper Contir. Bic, e, quoad aliud D cum quum G est supra A. AdcOque priori calu aequario quae respicie D Curtum, unam habet ra- dicem negaciram, posteriori, duas: (nempe quoadeadicem r; nam harum una, adjectione 3 d, uc habeatur g = - r t 2d, cra- dec aftirmatira; pota E r = = d, eric r F 3d = - dF3d = + 2 d =9. adeoque, licet r sit hoc calu quaneicas nesativa, eric q Policira; hoc est, punctum D eric intra 6, Sed supra P) concra rero in aequacione qua relpieic D dcorlum. uc pest pa- cebic. Sed hoc obiter. POrEO, CUm SIE P = 27 d = r = == 27 d= 8 F54d3 = 29d in: L B F 2d: = = 27 d = b (Dolico Ccilicet B = 5 - 2d:) quories concinsit esse 8 = 2l (quod cunc sic cum punctum ( H h H Z puncto