# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068124:0140 # Permalink to this reading: https://leibnizlegible.com/page/00068124:0140?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30 # Folio 70v, page id 00068124:0140 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=140 # Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000140.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.85 # 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. ptacg btcZed t elley aqu. 621. 2+ d 1+Z+ 2 +2,.G,32 1,2 17, 3 aquc et erit dus aequ. - bZd cdque + n +0+ dZ + d7 Z. 1+ ZdZ. u e 2 dic est 12 ubi si velimus aut possimus facere Z aequ. 2. non erit opu ire alteriu. faciendo jam dy aequ. 0. et divisis omnibus per dz. fiet: 26Z + C 2b2 + c + 1+ 1+ C aequ. 0. sit b aequ 1. fiet: Caequo 1. AVC+ c aequ - 62 erge si sit aeqato Z8- 137 +2 formude 2 e ponaturque Z aequ. 2. erit tunc aequatio . 13Z +2 t5 aequ. 0. habebit duas radices aequales, ergo resolvi potest contactu Logari- thnicae et, parabolae; vel rectae nota in ejus jam alqui ene ethiabetur et varabolae tangens; ergo habebitur langens Locarithmicae, ergo habe bitur quadratura Hyperbolae specialis. Haec est Soctobr. Scneda L. e ubi. pulcherrimum novi calculi principium, quo spes est ad qua- draturas et transcendentes veniri posse. poterit et ob aequ. 2 et 3. non conticaffiiendo Z nondum habeeri) poni 2b2L21 Z +Z aqulv. seu baequ2 item caq 4d = 4Z aequ.0. seu Caequ.L vertet 2