# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0189 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0189?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 96r, page id 00068196:0189 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 95v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=189 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000189.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 20 lines, status machine # Lines: 20 recognised, mean confidence 0.82 # 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. YV Sir curva Y Y. sit, positione data curvam eam tangens. AX, sit X XY sit y. AZ, sit Z ZV sit V. si linea Vs sit recta fist TZ: ZV =Y: a et AT, sit t, erit Z = = AZ = AT -TZ = AT = YZV: a et firi Z = + - rV: a. Hinc in casu concursus, fiet dt rlvra dt - vdr: a = Data jam relatione inter t et Y, et i habebbitur dr: dt = _ et fat v = vag ( fiet V: a = F, seu + = v:a et similiter et r- V. a e Est autem hic Z = x, et v = y, in casu concursus, et fiet X = yia - 1 v: a sed si quaeramque ut problema Tantentium inversum, fiet: dy: dx = y: dX + AT AT: AB = dx: du ABdatur ex AT ergo fit dy: ex = AF Ergo fil dy: vel AT = dyidx Ergo fit (= X = dy. dx) dy. dx = y vel y = +d LX Z 2 e