# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0024 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0024?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 12v, page id 00068198:0024 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=24 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000024.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.88 # 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. 1: a 6(2) ((dv: Y da de Xia =X a, dy: dx ad v: Xdx. substituatur in aeq. (1) oportat diffecentiando tolli (av: x descenditur ad X, a, dv, dx, ddv, adx. descendatur dolatur x ibitur ad a, du, dx, dlv, dlx, d’v, dX y: a = dx: Y y: a = dv: dz et dy: dx desccndet ad ddv, daz su v Hos valores substituendo in aeq. data et tollendo Sdz. Z ibitur ad dv, dZ, d’v, d2Z, dv, z, 7 assumatur de per du, dze, Z tollatur Tollatur de aderit eg. in qua Z, dv, dz, ddv, ddz, Tolli poterit Z ex puore sed video nos hiqus non procedere An su osi) ex y: a, et X: a et dy idx sit y: a p) sadz: dzue et X: a p( - dv: dz e dy: dx 13) dz ddz :, dZe adv-svddq, quibus valoribus stoostitnlis in 591. fiet aeq. 14) in qua 5 ddz: d3 et dv: dz, et ddv: ddz. unde sissumaitur constans de (5) ex Sddz: dZ, dv, et dz, et tollendo de per differentiationem prodibit aequ. 6) in quia erunt V. ddz. dy, dv:dz, et ddv: dez ope ae gg. 4 et 6 tollatur sildz: d habebitur aeqe B) in qua de: dz, et ddo: ddZ. Et habebitur s lage dve log du loq dz per do: d quadrando habebitur sunde per do: d7 seu y: a per X: a, ut desitera- Agime Unum tamen obstat quod ope aegg. 4 et 6 habereti potuisset etiam rolli ddo: daz, et daretur batur. ater jam tum aequ. inter fadz: dz et do:dz quod tamen sine quadratura fieri non debet. Hinc rei quatio videtur occipori posse, de exprimamus sine do aliaq dele = dzdz adz: dz seu o= 2az adZe (day: dy + dZd7 ddz: dy. sed ila fieret per solam aZ et (ddz: dZ id constant quod abturdum b. cingo nec hoc licet si esset de de Hedqu + dZdZ 5ddz. d differentiando fret deddz + 2dZ daz sddz: dz + dz daz et de de +2 dZ ddz. + dZ a StaZ: dZ et Z 2da3 Saaz. de + aaZ + adz. unte satz. dueforet gstans. Ergo hoc nonlicet