# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067989:0014 # Permalink to this reading: https://leibnizlegible.com/page/00067989:0014?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 27 # Folio 7v, page id 00067989:0014 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067989&page=14 # Source image: https://digitale-sammlungen.gwlb.de/content/00067989/jpgs/default/00000014.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.96 # 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. 26reo v 10 figurae autem quae in charta aut pulvere delineantur epsi commodiores sint, tamen nec omnia simul exhibere possunt, itaque multarum figurarum conjunctione opus est, et quaedam non omnino exhibere possunt; quemadmodum cum ad suprasolida ascendimus. Licet itaque facile ex figura sequenti perspiciamus :008 18 15 + 9 16 25 duobus numeros triangulares sibi proximo (ut 10 et 6. duos componere numerum quadratum a16.) majoris a (4.) latere majoris; non ideo tamen simili methodo facile deprehendemus, summam numerorum quadratorum deireps inde ab unitate yborum esse bm mumeri triangularis ejusdem lateris pdraturm Latera tuborum Cubi 4..... 1 27 64 125 Summae cuborum.. 1- 9 36- (100- 215 Quorum Radices quadraticae.... 1 3 6 10 15 taque manifestum est opses ad juvandam Mentem opus esse characteribus, qui nullo negotio transponi possint; quemadmodum vocabula, et characteres Numerator Nomerales notae numerales, et symbola quibus utuntur Algebristae, et quidem si vocabula excogitata essent apta sutis et custi constantia, mirifice juvaremur in ratiocinando, sed quoniam nulla lingua vel Casu vel arte facta satisfacit, et vero artificium linguam excogirandi qualem oportet, nulli scriptorum autorum satis, notum animadverti, contenti nunc simus necesse est Characteribus quibus qualibus oportet hactenus Mathematici utuntur, id est fi lineis, numeris, et symbolis magnitudines sive lineas sive numeros generaliter generales exhibentibus et denique linguae qua utimur verbis receptis. Quoniam vero regulae artis inventoriae me docuere rationem amplificandi usum characterum Matheseos Universalis, a numeris atque lineis animum a Porro in quibus numerorum et figurarum linearium et verborum usus aptior ratiocinationi reddi posset, velut res a consuetudine nimis remotas, unc attinuere hujus loci non est itaque Characteristicen tantum Matheseos Universalis nunc quidem perfectiorem reddere satis habebo