# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068197:0042 # Permalink to this reading: https://leibnizlegible.com/page/00068197:0042?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a # Folio 21v, page id 00068197:0042 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 20r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=42 # Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000042.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 117 lines, status machine # Lines: 117 recognised, mean confidence 0.80 # 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. 12. 12033 210+ 200 82 12.1208 =II. H1 (73G -12. 12093 fit 11. 11. 22. 27 + 12. 12. 21. 21 -2. 11. 12. 21. 22=0(12 seu 1. 22 - 12. 21 O+1105 1110010 10000000 itaque superest ut Nempe si 5 facias D + 1D + 10, fiet DVdG = 1.1048 + 2. 1. 1264+ 21916 + 10,89 1212983 +2. 1017C et ex aequo et Bb + 4 FP qu (b+C) vocemus compendio 3e et ex aequ 37D0Z + aabc - ad qul bte) fi et 11. 11039 +2. 11. 12.6, 9 +2 10. 11818 + 10. 10 ( 4F 5. 60. 0b. aC. quae f truiuta duibent t per 20 + 2C + 20 a. 2. 10. 12 213 1200 Itaque procurata erit divisio, faci destruendo resituum, seu faciendo 20041aa) 4051 4050 (2000 oo +so E1o fin 0 +50 sed quode ubi supersunt arbitruriae 11, 12, 10, 22 50. 51. sed et est qua in 40, latet 21, et al est quantitas data praeterea datur supersunt jam duae aequationes, nam diciset 1B+22C + 20 a = 0, ubi pro ponendo sob + sa pet 00. 21 C) + 22.500 + 22. 51 + 00. 20 a fiet 50 = - 00. 21 seu 50 = - 00. 11. et e 51 = _ -00. 20 sed ita oritur a sed ita videtur oriri absurdum ut in equatione se quae una restat, erumescat 41, e in quo solo sunt data, quae ade alculum non ingrederentur Ltaabe- aa qu b+C) =0 explicemus C et per D seu per X itase ut unum suprest, ut et tum divisionem instituamus. Sed aritur an praevideri possit aliquid contra suarsum dici possit ut ex in 37) OG quia quaeritur an idco quia divisio per O+. e+. fieri non pt, nec efe formaliter nec effective, elia non posit esse per X, Esto posse institui per 60x +6ia, esto O = 70 x +71a et = 80X + 81a, fiet 91C +9, + qua = 60x + bia, seu + 91. 70 X + 9171a viden an ds succedat evito compendio, + 92. 80 X +92. 81 a to.30 a quando non r=a, imoicum non f in consturti ratione ad D. Ergo oportet r esse divisibile per D, quir HW per D doisit est V60x +61 a, ubi concipiendo 60 et S1 ut ditas, patat per 70. 71) 80 81, 91, 92, 90, effici posse ut quaevis formula 60X +61a concipiatur ut semula et C + . D+.. a Et proinde si non potest dividi per hanc fornulam uo institia pteuse quod utessinb et com dimpo instriui poterit. Quod utlissimb est considera 22C) aL 1. 11. 20094 =12, 1220a 0et 2. 16. 2 2 2.10 2a flr. b2. =12. M. 208 r supere initur ut residuum quod saper +10+ . OV - 3. 00. 00 de dividatur reddatur divisibile per + 2 +10 ,10. 10, 21. 21 pIt20421 ∞a O - 3. 00. 00 ae 4. IV. I. 20. 20) seu frendo 400D. 41aa dividendum per HC + 22D 120 sed quia hoc formaliter fieri nequit fiat effective. explicando ( per C su fatiendo 22G nemper dividatur per +9 + 20a, seu per LO + 8t d Bs ua i itulum 00+5) a Esseretio 10. 00O ∞0 O O en et proveniens multiplicetur per 22. fiat 9= 500+51a erit 9() = 50 + 51aC, et fiet 0 . 40. 50 00 40. 51 aO -00. 11 aa divid dum per (100 +50 00. Tlua +40. 51 a +3900) ae 40.5072002aC 100 +50 5(5ls 40. f. 18. 1 a- 1. 1 2. 14. 12a- 00 450 f0. 142 + NY 0 e C DC Haec met hodus nolanda est, ad calcul ut dividamus per 0+. quantum licet, et residuum demum expacemus d 05Y 004ol50. aa 40. 50 (00 3