# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0223 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0223?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 112r, page id 00068199:0223 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=223 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000223.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.79 # 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. urui V s muno nomussa reso tut canso 1) uonu . Y en 5in anor. 3ohW 2H ani d eros ruovammns visi er h, d ogna ent hymqun agpb horo ragrapr ht eart ggivilto wnn pes I6, unge muns in epns vih. Sunk gis (aH in G)h in krumont wulo G do. Smmpo) d9 rur nimssi eserbioat in hisset mensin es vp un dement uneropia 13 (652 nosser mirumens ux imunat in syumutos de nanqua vaor eso X uniosil. bubant unsii ssoa ) uunt ava zig an so vx en 6 () (N (u) p = 6 B 1 NH qu seu amnueu 33(3 gntuo 1d Eque uvi. Cāˆž. X rp = +3 etazue. Dv. X. men untrrtao missert ne de minume imnum sigert un: musenest Anessoit un snalo av R. N uneunuruns en um ninc in e uit2(Si 33 nrh syisattus an moins 2 - vx =()3: Hd) B.X Xp s op = 3(3) X Xy. vp X x = p en lygr nom 167, G a elli 13 in inus X DY cg AB cyl. est ad cyl. Lm, ut AB ad 27. L. 27 AB ad H 3. X. E Ergo cytinders Ergo cylindem AB est ad cylinde jam sphaera inscripta est ad cylindrum AB, ut ut 2ad 3 Ergo Sphaera in scripta est ad cylind. LM ut 2 ad 1 cyl. LM ad igl. AB ut AB ad ut 3 ad AB (yt AAB ad Ergo Cyl. AB -. cyl. LM. per A si. Ergoeyl AB. - 3. Cyt. LM per AB3 3 jam sphaerae cylindio AB iiscriptae valor est 2 sylind. AB. Ergo sphaerae cylind. AB valor est 2. Cyl. A. per AB3 Sphaer. () = 2pl. cyl. LM. Ergo cyl LM = 2. sphaer. C 12 Ergo sphaer. cyl. AB niser valor est sphaer. C). per AB3 jam sphaeraesunt ut cubi diam. Sphaer. C3 diameter sit Z. sphaerae cyl. AB inscristae diceitr diumeter est AB. Ergo sphaer. O ad sphier. AB ut X ad AB Erx spher AB = spier C. AB3: X jam supra sph. C est ad sph. AB ut AB ad 3 Ergo 1e) ist ad A6d et AB ad 3. Va X = ABC. 3 vl X= 1B. 13