# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0148 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0148?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 74v, page id 00068194:0148 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 73r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=148 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000148.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 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. sii et omnes parabolaesent simles inter se, sedudn ellipses et Hyperbolae, itaque species Ellipseos du dari debet, ut datis duobus focis is e detur El eadem Convenientia sunt, quorum eadem est affectur Similia sunt, quorum endem est species Affectio est praedicatum necessarium termini uni- versalis species est aggregatum omnium affectionum ejus– dem subjecti 0 Hic notandum est me potius loqui stylo Geometrarum, quam scholae. Similia enim Geonltrae volant, non quae in aliquo conveniunt, sed quae perfecte sunt similia, ut sola magnitudine dis- trepent. Speciem quoque voc Geometrae intolligunt intinam; dum praedicata universalium Terminorum rursus subdividi possunt 5 Quae eadem esse colliguntur, dicimus Coincidentia ita io rectarum species est infima; nec lineae rectae secun in alias species, idem est de circulis, et ideo similes dicum dicuntur Quae similia sunt eidem similia sunt inter se. Nam (1) sit A~ B() et B V C (ico esse AVC (qvam (per . 1. et def. similium) Species ipsius A. ∞ spec. B et (5) et (per 2 et def. simil.) species ipsius B∞ Spec. C (6) Ergo (per prop. supra positam circa idem et diversum) Spec. A ∞ Spec. C. (7) Ergo (per des sim.) AV C, Q. E. D (per 3) Eodem modo demonstiari potest; quae conveniunt cum eodem in eadem affectione, convenire in ea et inter se. singulatim similia per se sigillatim spectata non possunt. ascem Eilig