Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 168v

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 167r); this page is its left half.

The machine reads it as

  1. 130Q +9 (31 : 2130), qu = 302Z + 31aZ 7 (311: 4.30)
  2. 40 = 30 ln +20. 30lm + 20 I = 0. Habetur ergo 40 per 20 et 30.
  3. (3om 2. 20121B+ C (20 M = 2. 30n) 31 = 2. 40. 41 seu compendio )10. 21 4 80. 31 = 4041
  4. superest 2. 20. 22l+ 21. 41 l + 20. 32m + 21. 31m, + 22. 3om + 2. 20. 32n 4 31. 31 n = 240. 42l+ 41. 91
  5. ubi ponendo 22 =20. 32: 30 et 1, 4 et et 42 = 90. 32: 30 et 22 = 31: 4. 30 fiet
  6. 22= 20 (31: 4. 30) et 92 =940 (31: 4. 30) e et explicatione facto
  7. at
  8. 2. 20. 31+ 21V. 4. 30 4. 20. 30. 31 m) +21. 31M. 4. 30 + 3 10. 30. 3i m F27030. 31 12o. 3n
  9. = 240. 31+ 4. 30. a
  10. 2, 2030.3 In p
  11. seu 1, 4. 2i ll + ~ 21. 31 l m + 21. 3 In
  12. 1. 16.30
  13. 2
  14. ea Lel
  15. seu (4. 40 79) art 21. 2IIL + (9 40 lm 30S, 31 1(2 4dtn- 50)) 31. 31 -a
  16. 4. 40 70, 4. 30 In (+ 4. 20. 3olm + 4. 201) - 30 mm (C 4. 20 Bobn 4. 2011) = 30 (aln - mm)
  17. A. 4= 2 9 = 2 2In +. 20 3olm + 2. 26H- 2. 3omm - 2. 20. 20 pn. - 2. 20 2olm - 4. 20. 30 In
  18. 240 Um- B.1a Vol- (23o lunt (3 20 3olma( + 2 2o Umf 20. 30 mm (2 30l m 2. 20 Un.4 203olln
  19. Ergo 4. 40 Um - 2. 70. 10 l =220. 30l (min - 2ln)
  20. superest adruc
  21. 2.401 801 = (2. 30 lnn + 2. 20. 30lmnt 2 20 lly- 20 b (9) 2030l mn - (30 lun
  22. seu 2. 40 ln - 80 l = . (_ Un -mm.) - 2. 30 (20 nan + 30nn)
  23. et 2. 40 ln - 80 = - 20 lp C (2. 2. 3on (20m + 30h)
  24. ita tandem
  25. seu
  26. .
  27. 2.20.3 ollp
  28. 20. 3 lp +3, Vo. Upp + (2ln- (p) (20 lp + 2. 30n (comt 3on))
  29. 30 (4ln-mm)
  30. -200 enn
  31. 2ol p + Y (20 UpP + cillnp (= 20Upp) + gatr a. 20. 30 lnum + 2Bho lu - vmo lenm
  32. 30 (gln- nim)
  33. 2. 2dUn um - 2. 28 ln 2ln + 4 uo. 2 lmnn (+ 4. 3 ol 2. 20. 20 mn + 2. 20. 3 donn Eln - 2. 30 nnmpri)3on, uln
  34. Quod sub vinculo est explicemus erit
  35. ubi tamen non apparet compendium
  36. quid ergo si faceremus 2. 20 ln - 2 20 3o2m - 2 30 hn p
  37. fret seu 20 l - Lv. 39m = 30n=0 manerdt siti
  38. et fint 2
  39. -20nm + 2. 20ln + 2n Y(20. 20 lm + 90. 30 ln)
  40. 30 (An - mm)
  41. 20. 30 ln = 28 Im d + Cum + 4 lu)
  42. = Jomin +2. 20ln + n2 H 2noln
  43. i
  44. =20 m
  45. 30. (4Ch - nm)
  46. Lam +2.n + 1. In S n+ S
  47. alis
  48. 30 (40- 70) 2Ill + 4(430- 129) 40 - 30. 70. 8e r. 31l
  49. Hoc aequatio est e voletenda explicatis 40,70, 0.
  50. I
  51. 1
  52. roll Frel 3om + 3omm
  53. aequ. L 3omm + 30l
  54. seu 20= 30m( unehs
  55. eralu) vel 3nn + on. 2om = 20 In
  56. +
  57. Zonnthon romt 2omm aqu.
  58. 42ommezoen seu
  59. alo= 30-m t rium+ aln
  60. Eohon
  61. 2n
  62. 1X 20l = 20om + 30n
  63. (2 (20+30 30. 807) 3Il
  64. 4, 40 - 70 = 3d (aln- mm) n 4 4ellm 1 20. quUn , 2.3670. 80l 130’ pono l19 3o m
  65. -+. gotrum (4). 30. olm i. 0 Ums 10. 3omm (2. 50tmn-2. 20. 3oum oo l
  66. 4. 30. 40Um - 1. 20. 40Um = 2. 3070. 80B = (4. 30M 30 ln) + (D. 30m. 20. 39lp (14. 3om. 20U
  67. = 1. 2om 30 ln = 1. 20m 20. 30lm - 1. 20m. 20l= 2.30. ∞ 130. 20 mm (- 2. 30. l. 2. 30m 1 230 l. 220 3. sc
  68. = 20l, - p. 20 In = 9. 3CIn + 2. 30mm = 1. 30 mn, seu 20l, 30 imm- mn-8ln) n 20
  69. 1. 2030, 3 = 2. 20 2 38 In +2. 109 20. 3olg +2. 10n. 20 l-7 deoni . 3o (9 20 3. 2os 0
  70. tandem 2. 20. 40 Hn +2. 3040 ln - 30. 80
  71. = 2~ 2. 203Un +030. 20 (2IR= i. mm) +2. 2030l (nh =MN) 3. 303 nn
  72. sit ero sit aIn-mm = +pl
  73. et 2m un- d = 2pl mn = gl 2ln
  74. i
  75. et fint 30d 30 pl. 214 + (20l309 20l2o 2 - 20l 2oromm) E1. 31 + 2. 20 Un r 3ol in + 2030 7. l X 20 4
  76. n

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 168v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0336?run=74