# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0479 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0479?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 33, page id 826603459:0479 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=479 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000479.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.90 # 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. DEDICATIO. procelsu perierituna, non tamen ca propterea prortus necli genda est, sed Policice porius inquirenda. Non aurem ca priue Perierar, quam policum fuerieram g F. 3 d =-r, cum cciam (nam nisi e hoc eciam ponatur nondum periic) 8 = 2d. C un icaque, cum in aeguatione 9 dg = = 9 - 27 d8, cum eti- am in r = 27 d =7 = = 2d 8Y5 4d (eXETA PrRsente calum) radices omnino cressint; ex cribus aurem radicibus Sr, Y, cum (POHItO B = 2d,) erenelcaruna, erie harum la(- tem una r == 0. (Quod quidem Cemper obcinet in aequacio- nibus cujuscunque gradiis, quando abloluca quancitas crane- Cic, Ere AC = 0; nempe radicum salcem unam esse =O: reli- quae aucem radices, depresione facta per communem parrium omnium dirisionem, in ea quae prodic interioris gradus aquo- cione manebunc involuex.) Cum enim in eequacionibus omni- no omnibus id univerlalicer rerum sic, quod quancicas ablolu ca, aequalis sie Facto ex omnibus radicibus invicem ductis- (neglectis Calcem urrobiq; Pignis + = 3) heri non Pocek, uF SIC 27d8 F54 d3 = - = 27 d 2B = - rXPXY = = 0, nIII eX ErI Bus r tic taltemuna r ==0; adeoque, quoad hanc, 9 L 3 a r =O, hoc et q = F 3d. HOC eA; ( CUPPONAET PD deortum cumenda erit (praecer duas alias) radix una g 3d; adeoque lumpra in concrarias parces (nempe surtum) DD = 3 d habebicur punctum illud D, (quod propterea pun- eto A coincidit, cum sic ociam D A = 3 d:) E vero suppona- cur DD Curlum Cumenda, crir radix ona 9 = F3 d (quod duo- rum signorum interius denocac,) adeoque Cumpra in caldem partes (hoc cA Turlum) DD = 3d, habebitur icerum punctum ilsudD, idem cum A. Quod aurem reliqua duo puncta D; Cum sIC r L EF 3dV3. (Ave CupPOnatuED Curtum CivC deortum oponi, quippe ucrobique dux sune radices alcera aftirmaciva, alcera negaciva,) _ (9 = 3d =-r, (IvC)r 3d = 9, (nempe ( (uDPOnatur DD deortum, r = 3d = 9; ( Turtum, r + 3d = 95) erit, qua surponicur dcortum, 3dV Z 3d = g = DD quae surSUM, = 3 dv 3+3d = g = DD; (1- erobique scilicet dux radices; astirmatira, quae juxra supposicio- nem concinsie, e negarira, quae in parces supposicioni con- crariao.