# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067992:0036 # Permalink to this reading: https://leibnizlegible.com/page/00067992:0036?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30 # Folio 18v, page id 00067992:0036 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 19r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=36 # Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000036.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 29 lines, status machine # Lines: 29 recognised, mean confidence 0.94 # 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. quoniam ut suo loco patebit, justitia quemadmodum det pretai) ad ommantilis est ut etiam in calculo Aloebraioo ejus imvlarum observatio prosit. expositie jam formis simplicibus conside eandum nunc est posse iude oririformulas compositas ex. OE. X + y vel X+ y2 vel X3 y vel X +y + XX + Xy vel 2X +Zy, aliisque modis numerabili Interimelicet etiam, in rebue pois recedie a leoe Duae autem sunt leges quae in hac compositio homoveneoruns saltem speciemsubn tellivendo ne observari vel violari possunt. una est lex Ho mo geneorum quam tulet ereta, altera est ex exer ab+ bc+ a 63 Ronificabit 6 pedes cubicos sus bitiae quam c0o introduxi. ex homoveneorum est, ut,q munum compo + bG, ex. C2. X +y vel a 2) nantur, sint ejurdem orgo y2 vel kx+2Xy vel 25 15g posito 2 et 3 ee nu meros hi enim n lege Momooeneorum nihil mutant; sed si in unum addantur diversi ora dus quantitatos, tunc violata intellieitur lex Homooeneorum, ut si fiat X +y + 2Xx + 3Xy. et quidem de numeris vel quantitate mere si abstracta agatur mpune lex homveeneorum violari potest; ex. caa 6+15+ 8 27 ubi sa ciendo 2 a et 3 b ets 2 fiet ab + bc +a 67 quod verum est etsi lex homooeneorum non observetur seu etsi roct anoula plana ab +bc addantur cubo a sed cum numeri applicantur rebus, hoc o lice