# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0634 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0634?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 319v, page id 00068196:0634 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 318r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=634 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000634.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 88 lines, status machine # Lines: 88 recognised, mean confidence 0.79 # 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. 100 105 - 100. lod s 1000 Eooc 100 10000 1000000 100. et = - = 1 + 001 + 000eI + 4000051 + 00000ral + 00000 000VOI 400000V00V0VOI 100-1 (00 -2 1c-3 100 2 = =- = 1 + 002 + 000b 4 7 0000008 + 0vo0 av16 + o o0 vr 134 40000000000064 100-1 0c 100 1- 100 100-3 100 = 2 = 12 etc et 100+1 10 1F003 + c9 +00000D7 +000000VXY 4 00000000243 + 0000000000729 k et et et etc etc - = 1 - 003 +0000 9 -00000027 +0000uav B1 - 00 v0v050243 +00000000V0 7X) 10072 = 17 700 100- etc = 1 = 002 + 0000 4 -500v 400000 16-00000032 40000VV64 1100 1 10013 1 + 700 etc etc et etc etc etc etc etc Ergo ((100 + 100 + ete usque ad 100.) + (100 108 + et usqe ad 10 100-1 100-2 100 -99) N1voF, 100 +2 etc =100 s(= + L + het ud = 1c +99) 2 3 erit Se+ Snam funt 199 + sum pueidratorm + Sum biquadr. B + sun. bicub fg + etc 10000 1000000 106000 100000DWV eliduntur autem naturales, cubi, jurdesoludi, seu dignitates impares termino continuare licet quousus libet, error est minor summa sequente Nolatu dignum est series signorum non alternantium, quae fiunt 199 ex alternantibus per elisionem, participare de hac earum commoditate ut erpor minor sit termino sequente isem est si nro 100 sumatur numerus cquicuaque, ut pro ut scilicet su assumuntur tramionii seu recipioci summandi procedendum est eousque donec sumna dignitatum exiguam rationem habeat ad suum divisrem Haec methodus non potest esse utilis, nisi quis tubulam habeat pro summis potentiarum aliquousque produxtis Ni faltor Tabula talis aliqua est videndum un talis Tabula sit e opere (ergusonis + 15 + etc = 2 = (1) + 1 1) l 9) + 2, + etc = + = + + + = t es = = = 1) +(3) 16 64 vodx X Ergo 1 - = - +) XY seu , - = = = 1 - - ux + d X +S ab X = 2 usque ad X ultinum naturatem CX + dy utdo - X = X+ dY quem cunque =X+ dx + X+de - XV NFd rdo - xFdx = X F (Etdx) - 1 _tde) - x = 2 X vodba et du av + Ergo (X + dx) - X = (X + dX) ( 12 X. M, + 2. C-1. C-2 XC 3+ etc sit X = +a _ = et e = 2 fint d (X = 2t 2 d2 Zd Eeti 2. Z. 2V + 41 qu (2247d2) ei