# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068100:0005 # Permalink to this reading: https://leibnizlegible.com/page/00068100:0005?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 5 # Folio 3r, page id 00068100:0005 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 4v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068100&page=5 # Source image: https://digitale-sammlungen.gwlb.de/content/00068100/jpgs/default/00000005.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 61 lines, status machine # Lines: 61 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. Nempe posito t et v esse numeros constantes, rationales, integros, dico fore: 1B.1 V. P+1 2 t. Co2 H t. t+ 1.2 (pt2 (2. 2 V.Br. BF2 L. a +3 hil3 t. tr1. t12 122 p13 1 Hinc si verb. gr. L et v esset 1 seu l = l vel l, retineretur solum terminus et jo alits occurreret. + ete. usque ab sequentibus omiss uper in quibus lfoccurrit, omissis. Quodsi tres vel plures sotes radicum aequalium concurrerent, a species nihilo minus patete omnia ad simplices terminos, s unius tantum literae indeterminatae literae, quae hoc loco si sunt simplicissime reduci posse. Esto enim patet produci ex h 4 k(4 per L. jam ssa resolvatur in membra fractiones simplices modo praescripto. Harum quaelibet ducatur M fractione in L habebuntur totidem mimbra, quae non nisi aequaliu binas habebunt species radicum; quas resolvi in sinis has autem resoloi posse in simplicis jam esse a est ostensum. Reduncuntur ego binae species ad unam, ternae ad binas, 9bo quaterna ad ternas; et il non est necesse. Unde cuncta esse in potestate apparet, quanquam ea quoque canonibus seu Theorematis complecti conveniens foret. Commissi sunt non pauci Errores typothetici in pra specimine Maji praecedentib. HOc Eos facile corrigent, qui horum fundamenta i inspiciunt: praestat tamen ut emendentur a nobis ipsis. Nempe pag. pg. 210. lin. 14. leg. dy = yx yXcX:, axt yy topro - ponendo = pag. 211. lin. 3 pro ) XX, leg. Y Xx lin. 12 leg. XX - q X + ab pro = ponendo -. lin. 22. leg. + dX: , suppleta lineola lmn lin. 23. leg. a. H, suppleta iterum lineola. Imn i V p +ute us