# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0374 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0374?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 187v, page id 00068201:0374 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=374 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000374.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine # Lines: 26 recognised, mean confidence 0.87 # 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. aequalio X etc. habet radices. aequalio X etc, habet 4 radices; ex quibus una est communis quaetadi triqe. Ergo agta summa id ergo fieri pt quinque modis; seu cum unaquaeque prioris possit reperiri in posteriori. Si jam trium quaeramu jummum harum quaor radicum, productum 23. id uique quatuo modis pt assignari; ubi porro efficiendum ut horum productorum, et rectang ulorum, et trireorampuilorum summa sit aequalis nihilo. Haec ergo profundius meditanda, retrum nempe praevideri possit ad quem gradum hiz positis assurgat sumulatrium radicum ex quibus una est cois prinae aequationi et summa restangulorum, etc. Haec enim si probe ratiocinemur videntur posse praevideri ante calculum. F(1aX + 19a = ( o sit X + WX F 22aX + 23 aa 7 cotux x 134X =21X+21, 2 (+ 2. 22a. + 21. 23aa. 22Z A22a P- XtaX - 22. _ a a X - 22. 23a = 214) -217 = 21. 2122a - 217,23aa