# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068101:0003 # Permalink to this reading: https://leibnizlegible.com/page/00068101:0003?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 6 # Folio 2r, page id 00068101:0003 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068101&page=3 # Source image: https://digitale-sammlungen.gwlb.de/content/00068101/jpgs/default/00000003.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.92 # 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. es Ad Ad p. 181. Seg. Mathesis enurleatae (l. Sturmii Starmianam objectionem non difficilis Monsio esst. Certalun Res huc redit. Aprobat objestipui autor aream quod et per se patet, circuliu posse contipi ut fita summam infinitarum ordinatarum irrationaliu condequi sed et laede alligit inde cont circulam esse Incommensurabilem quadrato vel circumferentiam esse incommensurabilem diametro. Ego vero diperam quadrato circum scripto existente 1. Circulum esse 152 5 - L + L - = et C. Hinc 4 col miratus Quod ille eferens subjicit dubitantie subdubitans tamen: posset videri nc summam esse unom nemero effabilem cum tamen ho fatear hanc summam esse numbrd uno numero effabilem quandoquidem partes, omnes sunt fractiones ad communem denominator at notat revocabilesEt tamen meipsum fateri circulum non esse quadrato Commensurabilem. Ad haec respondeo concedi ade negari a me secundum. Etsi enim putem Circulum esse quadram incommensurabilem, non tamen id puto tali argumento 7, eille probari. pari modo probure probari. I Nam a ratiocinia de communi mensura vim concludendi habent solum in expressionibus finitis. Et instantiae dantur unumert Exempli causa pari argumento confice retur parabolam esse rect angulo circumscripto incom mensurabilem, nam et ipsa conflatur ex ordinatis irrationalibus et tamen constat eam facere duat circumscipti rectanguli terbiis constare etium Quoad assertio mea demo senta est, et a primu de serie 1 - + = etc. demonstrata est primariis geometris approbata . Quoad+ un, a id posse videmi rem obiter aspicienti quartum dat fateor, uti ebiam nonnallis in fallia visem fuit, sed rem mi lactenns ignotatam Clarissimus