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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 188r

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: 0.85.

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. 187v); this page is its right half.

The machine reads it as

  1. 63 49
  2. 202. 2ol. + 3om -250l 2. 30n + 38m - 2. 30 solm, 3om = 2. 50b
  3. Videtur pennissum ut faciamus 40 = 0 adeoque et 42 =0
  4. Erit ergo l. 2ot +20. 30 m + 30n = 0 adeoque 8. 30a = g fd H = m + Ymm - 4 In)
  5. n
  6. 12
  7. 2
  8. 20
  9. 2. 20 21l + 20. 31 m + 21. 30m +2. 30. 31n =0 Ergo 31 = 2. 2∞l +3om = 24 2l H(30: 20) M
  10. uti pro 2 (30: 20)n ponendo valorem fit 3 = El + 30. 28 m 2. 30n +20m
  11. seu
  12. 1= mm-aln = m Y (um -4 ln), Temm- ali)C
  13. Et
  14. 2(30: 20)n +m
  15. in =2) = al mn +m se mn- aln)
  16. En (mn - 4ln)
  17. 21
  18. 2n Nemm- iln)
  19. seu tandem 3 = icumalu) -m sed itas fit quod
  20. evitare vobbamus, nempe (831 : 21 = 30: 20
  21. En
  22. si faceremus 30.50 m = 50 l = 0 fieret G0l = 30m. seu 50 = 3om: l. Ergo fiet
  23. +40 = - 30. 3on, :, - 30m = 3on: m = 20 + 30m: l seu 20:= Fln-Gomm, : lm
  24. quod adhac semel videamus:
  25. 20 = 302-30n, :, 30m - 2. 50l. id est 30tum: 1) - 30n; to
  26. E Ergo 26: 30 = in -nim,: ln, ut ante Et 40 =, ln( mm +o 30 mm, n
  27. zon: m, ut aute. 20: 30 = n: m - mil = m notid copa 1.m
  28. Aliter forte Ex Termino jam secundo fiet. 2. 20. 21 l + 20. 31m + E1. 30m + 2, 30. 31n = +2. 30. +h.
  29. seu 41= jam 2. 20l + 30m habunt 2. 3olu 2. 30ln- (2)3omm 3omm, : l = 2. 30 - 30n. (
  30. et 20m + 2. 3on = 2. 30ln = 2. 3omm + 2. 30ln 9 : l seu 4. 30ln - 2. 3onim, : l,
  31. seu 2, 23 o = 2. 30, Sn = mm. Ergo fiet , 2. 30. 41ln : m = 2 ln - mm, 30, : l, 214 2 31
  32. seu 41 = (2 ln - mm, m : 21), 21 + 2. 31. adeoque fiet 11 = (p: 1), 21 +2. 31
  33. Ex termino medio fiet 2. 20. 20(31: 230)l + 21. 21l + 20 (31: 430) m Y21. 31m 420. 30. β12430)
  34. +2. 30. 31:4. 30)n + 31. 31n2 3 n) = 35 (: mm) (31. 4. 30) + (pp: U)21 + a(pp. 11)21. 3. a
  35. +App EI) 31. 31I. sed Video ita 3 vel 21 non evanescere. An ergo proestat
  36. redire ad paginam praecedentem
  37. ia ut evanescet 21, fial -70 + 40 =0. seu 6, 40 = (4)70. Ja m est
  38. 70 = 20 4 30 (m : 21) = 2. 20l + 30m, : 2l = 250 U, 3otn + 30 non - 2. 50. 30lm, :, 2. hal ri 4.
  39. Eol
  40. quod s sit = (+: (+)) 40 = (1. (4)), - 38n + 30. 50m = 50 l, :, 30m - 2. 50l. Et aequando
  41. sublato divisore commune fiet 2.50l = 2. 30 In + 30 mm - 2. 30.50lm =
  42. = (1: +), - 2. 30 In + 2. 30.50lm - 2. 5oUl. Et faciendo (+) =-
  43. oirebur alserdum. seu 3orum =0. Ergo debet esse + + et fiet
  44. fiet (2.501 - 2. 30ln + 30 nm= 2. 3050lm) = 2. 30ln =2. 30 50lm) + (2. 50
  45. sed hoc non licet evenescentibus quaesitis, manentibus solum datis. Iaque
  46. sext +1 = + 1 et f. et 2. 50U(2. 30tn + 3omm. - 2. 30. solm = (230 ln, + 2. 30 solm
  47. = 2.50l, Ergo 4. 50U = 4. 50. 30lm + 30 mm =0 seu 2. 50l = 30 m
  48. verum nec hoc licere, video,
  49. verdendum ergo an liceat terminum
  50. ut timum ddestinere, seu vel salten partem, verb. gr. eam tennini ultimi quae
  51. continet 40 et fieret - 2. 464 (20 f20. 30, f30n. sed ita focet cot +20 on +30n -
  52. 20l30. 3om 30n
  53. seu 40 = 30 mt 2n: 1)
  54. adeoque 100 quod ad licet
  55. et fiet
  56. 3c seu 2. 30n = 407 = 0
  57. seu 20l+20. 30m = 30n, adeoque fieret
  58. 2. 20l = - 3om +2 (Wm + (n) se 20:30 = m + Z S(um + n): l ita ipso 5 posset careri
  59. Ergo 2.70l = 30tnim lu) 2. 20(+30m = 30) (mm LIn)
  60. 4 4. 40l = 4. 70Il = 430. 2nl = 30 mm - 4. 30 In = 30 (2ln = mm)
  61. 2190l = - 30m + L. 30M Vemm + aln) + 2. 3on seu 4. 80l = - 30mm +30m seum + atu) + 4. 3 ln
  62. (2.70.4. 80(3 = - 3oum Semmtaln) + 30. n + 30+ n + 4. 30 n spum + 4lu
  63. undi subtrasendum 20 Um. seu 309uH 30. 2lnim seu fiet
  64. fre
  65. sen fiet 4 45t 2. 4. 7H A vorgo nihil tamen magnopere lucramur
  66. aquatio intericus talis erit 30 (utnumm) y+ . 2 I. 21 (Mv. 80l) - 89. 3, =0
  67. sen 21l = + (2. 70. 80=40 m) + 1 (+i 4. 40. 70. 80 m B 4omin 6 (ln- nu) BD,
  68. 2. 30 (ln - mni)
  69. ubi exlinanta o

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 188r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0375?run=74