# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068013:0005 # Permalink to this reading: https://leibnizlegible.com/page/00068013:0005?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 16 # Folio 3r, page id 00068013:0005 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068013&page=5 # Source image: https://digitale-sammlungen.gwlb.de/content/00068013/jpgs/default/00000005.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 195 lines, status machine # Lines: 195 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. 4 11. 1. 29 + 11. 12. 20 , + 11. 13.20 2. . 1= 19. 10. II. 22 = 10. 10. 12. 22. = 10. 11. 12. 29) + 10. 12. 12.201 + 10. II. 11. 21 + 10. 11. 12.21. = II. H. I1. 29 = 1. 11. 12.201 ~ 10. 10. 10. 11. 23 = 10. 10. II. 13, 20 = 10. 10. I1. 12,27 10X + e1 X + 12X + 13X 10. II. 1I. 12,20 10. 10. 11. I1. 22 = 10. 1I. 11. 12. 25 10. I1. II. I. 21 + II. II. II. II. 20 p R Dividendus 20X + 21X + 22X+ 235 Divisor +10. 10. I1. 11. 22 C + 10. 10.11. 12. 21 = + 10. 10. I1. 13.20 + 10. 10. H. 13.20 +10.1012,1220 .= 10. II. 11. 1I. 21 = 1. H1. HI. 12. 20 - 10. 11. 11. 12. 20 = 10. 11. 11. 12,20 = 10. 11. 21 10 + 10. 11. + 11. 11. 20 F 10.10.10.10.25 10. 10.10. 1322 F 10.10. I1. 17. 2L + 10. 10. 11.1321 = 10. II. 11. 12. 21 = 10. 11. 11. 13. 20 10, 11. 12. 12. 20 = 10, 11. 12. 12.20 = 11. 11. 11. 12. 20) :.- 2 e 10 c.. .. +10. 212X +.. . - 11. 205 16 ~ ... o e +10. 10. 227 + 10, 12. 13.20. . . 1 . - + = 10. 12. 20X + 10. H1. 13.210... ..- . a.0. = 10. 10. 10. 12. 23. = 10. 10 10. 1328X F 10. 10. 12. 13.20, 4 10. 10. 13. 13. 20.- 10, 10. 12. 12.210 4 10. 10, 12. 13. 24. 10. 11. 12. 12.20. - 10. 10. 11. 12.22a 4 10. 11. f2. 12. 201= 10. I1. 12. 13. 20 1010. H1a 13. 22)1 10. 11. 12. 13. 20 (a s. 10. 11. 11. 13. 21.(. II. H. 11. 12. 20. 4 H. 11. 11. 13. 20 Quotientis p tg101B1016L =10. 10. 10. 1343 dars +1B. 10. I1. B2C A 710. 10. 12.13210Ce -10. 1I. II -10. 11. 12.13 - 10. 11. 12. 1320 +II. 11. 1 105X3 + 1OF HIX +IOTI2X +1013X = 11. 11. 13,20,10.. = 11. 1L. 1 2d. +10. 10. 12. 12.2)X + +10. 101313. 20) +10, 10. (2. 13. 20) +10. 10. 12. 13. 10 CHARAC TERISTICAE 111.0 = 10. 10. 13. 22-- = 11. 203102 = 10. 12. 298 - - 10.10. 11. 22 (10 10. 10. 1D. IL. 22 + 10. 1011. 12 21 = 10. 10. 19, 12. 23 VS 2 10. 11. 11. 17.21a- 10. 10. 13. 20 6G 1040. 12. 21 X +10. 11. IV OR DIN A TIO DIVISIONIS . 1 HB1B. 10. 23 quotientis 920X + 10. 21 2X - + 10. 10. 227 s1 axio.ii12. nol pars integea te 10 =10. 10. 10. 10. 24) = 10.10. 10. 11. 23 10. 10. 1013. 2 1. 11. II. 1L.20 et Si Aa ex operatione excer pla ∞10. I1. 2B (103 4 I1. 11. 203 + 10, 10, 10. 23 = 10. 10, 13. 20 = 10, 10. 12. 21 cc 0x + 10. 11. 12. 20 lX = 10. 10. 11. 22 + 10. H. 12.20 10. II. 11.21 = 11. 11. H. 20S = 10. 13. 21 (FI. 1320 -10. 10, 12. 22 +10. 12, 12,20 +10. H. 12.2) =I1. Il. 17.20 104 (+28 RE. - 1B. 10.15. LL Lut d s (- 10.10. 10. 11. 23 .DV.. (- 10. 10.10. 12. 23 + 10. 10. 11. 13. 20 + 10, 19. 11. 12.21 = 10. H1, 11. 12,20 = 10, 10. 11. 11. 22 = 10. H1. 1. 12.20 = 10. H. H1. 11. 21 = I1. I. H. H1. 20 TERMMOPERATONS 30. dividenon Eletee r le lb) Quotientis pars fracta orai na fim sere pta tien WVISol oa 10. 11. 21 = 10, 12.21 . = 10. 13. tete Divisor 10X + 1X + 12 X + 13 Dividendas 20X + 21X + 22 X + 23X3 +24X + 25X + 26 Operatio 3axX +3IX + 32X +33X + 34X 135X+ 36 Lex Operationis: 10.30 =10. 20 10. 3p + 1. 31 = 10. 21 10. 32+ 11.31412. 30 = 10. 22 10. 33+1132+12. 31+ 13. 30 = 10. 23. etc Quotiens purus. 2 X + 3IX + 32X +33, : 10 Fractiondhaerens cujusnumator est Residuus; . 34X + 35X + 36, nominator est . . . . 10X + H1X + 12X + 13 divison quotiens totus dbisionis + 10, 12. 13, 20 +10. 11. 13,21 + 10, 10, 12. 13,20 + 10, 10. 12. 12,2 = 10. 11. 12. 12.2C + 10. 10. 11. 12. 22 = 10. 11. 1V1L20 10. I1. H. T2. 2 + 10.10, 13, 13, 20 + 10.10. 12, 13.21 = 10. 11. 12. 12. 20 + 10. 10. 11. 13. 22 = 10. 11. 12. 13.20 =10. 11. 1192.2 =11. H. 11. 13,20 .V. 11. I1I. 1I lOX + II N: + IX + 13X sel provenicus Hic modus scribendi resieni onio ad inougandam legem prog estimus. quia odigini proprior quam ordinatim scriptus. Quotientis pars integra etiam potest ordinatius scrbi, quod nondum factum est