# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0361 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0361?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 181r, page id 00068199:0361 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=361 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000361.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 110 lines, status machine # Lines: 110 recognised, mean confidence 0.73 # 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. t.a e Productom ex forma in formam ala e s Numeri formae prodeuntes semper praevideri nossunt, et coefficientes inveniri ex combinationibus. Ex. d . 2 2 a 12 )4 4132 4 ab in abc fit. abC +. abbcd tmabede t. a b c +. a bc t abcd + abcde +a a ea bide t.. abcd+. abcde 2 M equea forme prodeunt a se multirlicanbus ab Literae non possunt esse nisi 5 ua quia forma maxime vanata est abcde Tot ergo litelae quot termini in formus probucentibus simul. Alterntis forma deinde ducatur per omnes si dmae producti novam ad ipsam recatione habentes i itaque ab sed 2 abb, duci pote ductum in abc, et in abd, facit idem in abc, abc, abc, acd, acd, bcd, bed, cde sed bd excluditur, quia idemfacit in ab 4 2 2 a 4 hinc formae asit e 14 abc, abC, abc, abcd, abcd, abcd, aebed, abe de C12 cope ubi notandum non omnes formas provementes divdi secundum ix ordinem prioritatis literarim a b2cd dividi posse per formam producentem secundum ordinemstiterarum enuntralam enrnbiatas a sic ab Cd, non poles dividi per ab et tamen haec forma prodit loefficiens formae producta indagari potest ex modis peruculandi, ex ubi duae literae amplures eodem modo se habent. Ex. gr. a in fomnis abcd prodit ex ab in ac d, et ex ac in abd. itaque caefficiens praefigendus est 2. e dre se eodem modo haberent in producto velut si e a p i tresliterae con produet ex a bc in acd 2) 2 i abcde re a poterit praeterea poni abc in abde, et aed in abce 221 e ita sunt copercatus pergutem cum et abd in acde quid scampo bc, subsituamus simul oft acdin abe. si tres 2 essea prodventes possent perinutationes institur cobigulae Quod a plus semel lontinuat V a tant s a du 2e ab literarum aequiatrium; pures adhac prodeunt variitiones e 122 a22 B. la epa eF. Hic permulando R et product ex abaeeut habemus aduc unum casum secundum, permutando c et d fertium permutando e et f, quad tum; ex gr. e ad B0 ab permotando simul a et b, item C et d, quiatum permulando simur a et b item e et F, sextum, permu e a et b Cet d ext f laudo simul c et d, itam e etf. septimum; permulando simul b aL 41421V octavum. Et tut modis p prodit a bcd ef ex abC e in bdf, aut smllibus en abstrable ∞2 ex a b.. C C in aabc isa 1b in bcd dat bCd ad lco ab in b2d