# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0501 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0501?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 251r, page id 00068201:0501 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 250v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=501 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000501.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.76 # 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. 13) ( na + p ab + q4 abe + r abed + sabede + fabedef + v ab cdefus) (2) n a + 12 ab + 13 abc + 14 abed + 15 abede + 16 abcd ef + 17 abedefg 11. H a. a + 2. 1112. a. ab + 2. 11. 13 a. abel + 2. 11. 14 a. abc d + 2. 11. 154 a bcde + 2. 11. 16. a. abede f. +2. 1. 17. a. abedes + 1 12. 12 ab. ab + 2. 12. 13 ab. abc + 2. 12. 14 ab. abcd +2. 12. 15 ab. abede + 2. 12. 16 ab. abed ex + 1,, abc. abc +2. 13. 14 abc. abid + 2. 13. B3 abe. abide Et explicando biniones combinationum 1.1I. 11 1 a = +, 1. 11. 2, ab F . 12. 2, a. +, 1. 12. 3, abc 1- + 1. 14. 4 abid abic +2. 11. 13. 3, .. +2. 11. 13. 4, abid +2. p. 14. 4, 0- +2. 11.14. 5, abede l. 12. 1219. F 1. 1212. 3, 1. + 1. 12. 12. 6,.. + 2. 11. 15. 57 . . . + 2.11. 15 6, abedes +2. 1213. 3, .. +2. 12. 13. 6, 1. +2. 12. 13. 18,.. +2. 1 166, a. + 2 1146. 7, abides ge +2. 1214. 6, .. +2. 12. 14 10, -. + 2. 12 14. 15,.. +2. 12. 15. 10, .. +2. 12. 15. 15, .. +2. 12. 15. 21,0 +2. B. 16. 15,. - +2. 1. 16. 21, .. +21216. 28, a F1. 13,13. 4,.. +1. 13.13. 10, . F1. 13, 13, 203.. +2. B. 14. 4 .. +2. 13. 14. 10, .. +2. 1314 20,.. +2. 13, 14.35,. +2. 13. 15,. 103.. +2. 13. 15. 20, .. + 2. 15. 15. 35, a f2. 13, 15 569.. + 1. 14 4 1,, +1. 14. 14.5, +1. 14. 14. 15 . +1 14 14. 35,. - + n 1+14. 7.. 4 +2. + 15.5y 42. 145. 15, .. +2, 14. 15. 35, , - 1 2. 1. 15 70,. +2. 145. 126, ., +2 14. 16. 15, .. + 2. 14 1b. 35, .. +2 14 16 n 707 + 244. 16. 12b, . 4 1. 1414. 1, .. +1. 1414. 5,.. +1. 14.14. 15, . +1. 1419. 35, . F 1. 4.9. 20,.. si jam D = oa + pB ab + 12 abc + 13 abcd + en +2. 14. 15. 5, .. + 2. 14. 15. 15, . + 2.14. 165 349,. 1 2.1 41 5. 1, . 4 +2. 1416. 15, . +2. 1416, 357.. +2. 14. 6. 19, + siit (3) - D = _ La l, 1a + 12ab + B abc + 19abcd + et. cuius quadratum erit quale praescrinsamus, ductum in L. id quadeatum diberet aequari ipsi C), seu issi a F a 2ab + 4 abc - 8 abed sed hinc sequeretur, si l = 0 fore 1) - D = 0 quat s et D sunt aequales, si non ideo eruit eut OO nihil enim prohibet ess C esse 1 O = 11a. + 12 ab + 13 abct ex (0) = n a + PB p 1 a L: nap + - 2 . 11 ap - 2p2 abp - 2. 13 abep etc. 12 ab - = 11 (a) + 12 (ab) + 13 (abC) 4 et C. Ergo fit sed 1(a) = 1 a + up 14) F - 1) 4 + 24. F= (8D-3 +(8) +7 = 4, 1- = qu (7) 7) = (2 + 2 2)8. unde 8 seu qu qu ((2) - 4) = 2(1) 4-15)8 4) +2 E (2) - P4+ e (8) = 8+ 7 E2) F 221 ( 4 Y7 - (21) 1 2 (221) + F ( 7 quen 2- t= an = 4, e+ () - 218 7)4 - 12) +2+ = 2 seu 1 g = 11, 24 = 44- 14) 4 _ = (2) + 4 = 2(4)4 24 3 .quia (2)-4 = (036Y, 1- 24 et V(8)- 8- 108884, 1 29 (21) - 2 4, 1-28 erit (27) - 7 et (+) 4 = (3 2 1-22 193- = 260- (36 1675) seu 10 -4 33 = seu D, 1 -8) = 37 a D + = B, 26 - 1 Iu4 1- 24 Y1. 13. 13. 1, a = qu EZ) ((Y). D- D 3+2 3+ D3 = 20- f