# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068217:0008 # Permalink to this reading: https://leibnizlegible.com/page/00068217:0008?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4 # Folio 4v, page id 00068217:0008 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=8 # Source image: https://digitale-sammlungen.gwlb.de/content/00068217/jpgs/default/00000008.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.74 # 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. (1) + X X qX + r X + s aequ. 0 =X _ +4yX - 4ZX 82y aequ. 0. fier ex aequ. 1. et 2. per 4 et 5. Za y X y- 4XZy + 4Z Y F2X Z - M aequ. 0. sit ZEqu =. et l aqu. - s. 1 + + a X y - 2y + qX aequ. 0 et ex aequ. 3. fiet per aqu. 4: yt - () + r X + F y - M aqu. 0. In aequ. 7. reperiuntur y V. X. y.... quae produci possunt. Vp . 339. 3.Y. et 7 per 9, 0 y. 8. X, 0 X, . Y.0 prd Mulliplicandi Xy. . X X. X. X. X. Et Ny. y. X. DXI. x. X.... V. produci non potest nisi multplicando y in O per yt. ergo et reliqua. itaque accipiemus in producto form terminos Xs. X. Qui rursus producuntur Etiam tolendo. jam pducit X, per X y), per Xy...0 X A X V, y. Xy, s. X, g. Xy, Xy XXy. Ergo multipliari debent sed X rpotes produci ex aequatione 1 per y mullius plicata, nec ex aequ. quia sunc etiam prodiret et X Y per X3,..o Xy, y. 6, y XXgt Fiat multiplicataio ipsa generalissima. Xy 13 27 17 Y et 1 xi c Hinc patet ut tolleretur Yi ) per regp otulat (123) (pet X G o B. (+), vet Xbyno vns possimus muttiplecationem sola efficit, ut major sit numerus sarbitrariorum quim de termuntum sed hoc modo jam video rem non procedere fit etiam etiam ne Nan satius ergo non tam adhibere aequ. 6. factam ex compositis so (2). Et posito semet (2) quia ipsum prodacet etiam X est. Lins ut hottatur X y. indisnus etiam so (2) e componere ut prest multiplicationem ut pro a cortrio ex plicare Imo desunt nobis arbitrariae. Tollendi enim sunt termini 24. et arbitiariae sunt tantum 18. Quare non videtur posse negligi ltera Z. quae cerminos