# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0843 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0843?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 424r, page id 00068196:0843 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 423v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=843 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000843.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine # Lines: 67 recognised, mean confidence 0.77 # 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. 9. 10 XX + 12a f. raa ∞ ∞, _ 25 XX + 2. 20. 1 f + 21. 21aa fiet B20 = l9. 10 21. - 19. 1. ergo 2. 20, 21 = 9. 11. su 2. 4(10. 12 = 11. 9. 102 t g. 19 + 9. + g. W X + 9. 13 X + 9.14 a ∞ C 16X (2) (2o XX + 21 aX + 22) - B 9. I2aCXV m si umm mnneactm ra) aqq = sa euillut anm i s 1) 20 X + 2.2o nX t 2. 20 vaarx ger. 21. 21 caxX + 2. 21. 22a X =+ 232 fiet 20 19. 10 22 = 19. 14 21 = 9. 11 : 2 19. 10. - 9. 137. 19 9 et firt 13 _o = 11 s14 seu 13: 11 = 44: 10) denque ob terminum medium 2. 20. 22 + 21. 21 = 91 2. fiet 2. fS10. 144 + f. 11. 13: (1.0. 14) = 5. 12. seu fint 2. 10. 14 = 12 110. 14 + 11. 13 = 0 seu 12 = 2.10. 14 + 11. 13,: 110.14. 9. 10 X + 9. na X + 9. 12 aa X + 9. 13aX+ 9. 14a X + 9. 5a X + 9.16a (2) (20X + 21aXX + 22aA X + 25) ∞ 20 X + 2. 20. 21 aX +2.20. 22 a X L2 20. 232 X L 220 Ha +2. XX +21. 21 acX +2. 2]. 22 a X +2. 21. 23a e + 22. a 20 = f9. 10 23 = 19. 16 21 = 9. 11 . 21910. 22- 9.15 6: 2 (9.16 .f15 H(lo: 16) + f. 11. 1. (4. 10) = g. 12 2. f. 11 (. 2. 19 10) 1916) 1 99 15 15: (4. 9. 16) - 4. 14 2. V9. 1o E. f o. 16) 1 5 Y. g. 1. 1 : (. 9. 10) = g. 12 Bgo (E) (dum . 15: (E. Lg 16) + g. g. 11. 11 : (4. 410) = g. 12 seu 4.10 Ho 15 F e 15 Mo. 16) + 1. 11 (.: 1to) - 12 sen . g. 16) L. Hf. 6). 9. 11: (2 14. 10) + gtg. 15. 15. : (4. 415) = f. 1 4 seu P. 11H. 6. 109) + 13. 15. (4deu 410. 220 2. 9110.16 + 7. g.f. 11. 15 _ t: 4 1 (. 9. 1016) = 8. 134. 10.16 + 11. 15, : 2 110165 = 13 a 9.10 X + g. 11aX g. 12a a X - + 9. 132X + 914 7 + 9. 154 + 9. 16aX + 9. 17ax +9.1 8a F _ 20 X T + 21ax2+ 2WXX + 23( + 24a ∞ F2.. ∞ 2s X praactax + 22oaH + gronsat + 2 20. 24 20 = 19.10 24 = 9.18 e +2,5 8. 10. 910 n) e. 4 se 8. 9. 10.s9. 18 4. 24 t0 21 = 9. 11. fr. 19. 0) e 2gas, et = 19. 18 - AB Ed 9. 17. Wd ara p2 - 9 9 (1. 11. 4 (940)3 : L. +f. 10 + 21. 21 +2. 21. 23 +2. 21. 22 et pursus ar 9. 16 9. 9 (1717: 4 (9 48)):. f. +g. 18 seu 22 = 9. 12. -9. 9. (11. 11. : 4 (9, 10)): 2. squo et rrsus 22 =9. 16 - 9. 9. (17. 17: 4 (9. 18)), : 2 +9. 18 23 = 9. 17: 2. Yg. 18) seu unde g. 12. 4. g. 10 1g. 18 - ggy. 11. 11. 7 fg. 18 = 8. 16. 4. f. 18. 4. 9. 10. 714. 10 - f. . 17. 17 4. f. 0. f ff. 10 seu 4 1.10. 18 - 11. 11. 18 s1g = 4. 1 16. 10. 18 110 = 17. 17. 10S10 seu 18 12. 22 = 18.16. 6B - 17.17 4. f.9. 10. 12 2 9.9. 11. 11 4. g. 9-16.18- f,.9. 17. 17 durs ralores invicem aultiptrando 8. f. 1097 (9. 10) +L(. 18) cb2 + 4. 9, 9. 10. 12.16.18 - 2.. Hr0. 18 F2. 13. 9. 11. 17: 4 10. 18) 28.G. Siditro . 4. . f. 1. 17 iaa + () f. f. 10. 1216198- 4. f. f10. 12. 171) C + . f. 11.1. 1717 10 = 4. g, G18. 16. 11. 11 64. 10. 18 110. 18 terminis X et X fiet, ex prire 2 2. 9. fo. 18Y 2. 4912: (2. (9. 10) 2. ex priore _2 ga X. H. 16) 9. 17. Plilg 18) + ff. 9. 1( L. 19 16) 9. 12 - f. 9. 1 (. L. 1919). 9. fB. 11 11. (. 4. 9. 10)7. 289, 10 seu _8. B. 9. 10. 17, + 4. f u1. (12 g. 16. 19. 13 - A. 11. 1 923 8) . 8. f10 s 911 8 = f 13 Ex posteriore f. A9. 18.) 9. u illaue) + (. 9. 17 (chAg. 15) 9. 16 - f. 9, 7 ( fl9.19) 9. g. (17. 17(. 4. 818) 2lg. 18. 8. c. 1.18 1918) + 4. 9. 16. 17, 18 19. 10) - 5.4. 173 1(9. 10) 3: 8. 18. 8. 1910 = 815 A. 9. 1 quae multiplicetur per 8. 9. 18. 5g. 10. fiet Hinc oterinomer a +12 + 1E.123. 10. 3042 3 1 ~ AL. 13. 103 es 1 + 12. 125. 13 a7 M