# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068230:0003 # Permalink to this reading: https://leibnizlegible.com/page/00068230:0003?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 17 # Folio 2r, page id 00068230:0003 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068230&page=3 # Source image: https://digitale-sammlungen.gwlb.de/content/00068230/jpgs/default/00000003.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.96 # 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. a + b a = b Vincula et Y Notae Algebraicae usitatiores a2b ides vel ab, vel 2.3. id est 6, vel 2. 3. 5 id est 30 a: b vel . Eodem modo exprimitur ratio a ad b (3Ja id est a vel cubus ab a Ia id est radix cubica de a, vel (3) a a = b a p b id est a majus quam b a e b id est a minus quam b a: b = c: d, significat a esse ad b, ut c ad d 3 :5 = 6:10, seu ratio 3 ad S, aequalis est rationi 6 ad 10 pro renata pro his adhibeo mta, lineas, parentheses commata a + bC vel a+ b, c, vel (a +b) C significat a+ multiplicari in c a+b: C vel a+ b,:c vel A+ b) c significat a+b dividi perc ab: C, vel 3 4:5 significat factum ex a in b dividi per c 2.3: 5 significat factum ex 2 in 3 dividi per 5 a: b vel (a: C) b vel a: c, b significat idem quidem efficit quod ab: c sed alium indicat ordinem operationis, ut prius a dividatur per c, et proveniens multiplicetur per b. a+ BC taa +bb ab vel (a + bc + aa + bb) ab vel (a + b)c + aa + bb al vel ((a + b) C + aa + b1) ab vel a +bC + aa + bb, ab vel (a+b) C + aa +bb, ab Haec omnia idem significant, nempe a+b multiplicari per c, ad productum addi aa+bb; denique quae summam provenientem multiplicari per ab saepe autem utile est commata et parentheses adhiberi pro Lineolis, qi linec quoties una lineola super aliam esset ducenda, quod praesertim in typis incommodum est, facitque lineas nimis spatiin occupari nimium spatii occupari sunt et aliae nota ut ambiguitatis, disjunctivorum, rela tionis, similitudinis, r congruentiae coincidentiae. Et pro calculo infinitesimali, differentiarum summarumque varii grudus, cerrinotis utimur sed has ut minus ordinarias, hic omitto. Additio: Subtractio Multiplicatio Aequalitas Majoritas Duitio in se seu divisio. potentia Extractio Minoritas Analogia vel proportio verb. gr. distinctiones