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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 69r

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: 0.84.

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. 68v); this page is its right half.

The machine reads it as

  1. ror
  2. patet hoc modo non posse prodiie cunvar
  3. quia eadem ordinata deberetto.g.iscame
  4. aequari quantitati. 2, et quantitati 6.
  5. nisi utamur tantum numectorum
  6. primotum numeris primis, reocumque
  7. numeris potentias binarias designantibus
  8. hoc modo enim nunquam coinciditur
  9. Coincidunt puncta Evisionum ipsius AB.
  10. sed nova oritur difficultas, nam inter
  11. B et homnes ordine collocu buntur
  12. numeri primi, sed nullus amplius collocabilu
  13. inter 2, et 3. nec appare a modus
  14. in ter 3 et t intercalandi.
  15. Et
  16. facile intelligitur rem non proceder
  17. in. Quantitate continua, et ut tande
  18. in lineam desinatur, quia numer
  19. primos prae alis quantitas continua non
  20. ignoscit
  21. aqu
  22. ( 1 a, b aequ lTC, d
  23. vel jut 2 aequ agu. sZ
  24. h
  25. umele (X)a, b. ag
  26. L vn) PAB
  27. Majoris dempendii causa ponamus, a aequ. 1.
  28. et b aequ. C. seu esse secem convergentem
  29. continuam, fiet:
  30. )E aeq 10) et 4 aequ
  31. et fiei: I)a aqu d vel (V- 1 aequ d.
  32. vel p - v)C aequ. d. sed jam adeo non posse
  33. poni a pro unitate non est enim terminus constans.
  34. itaque tantum licebit ponere C aequ b. et primum A agu
  35. et fer. Iosa.
  36. aequi cd.
  37. AC et fiet: () a aequ.=
  38. sed bienus sic: sit aqu. ac denique 7 aequ. s I. B.
  39. vt
  40. Pancis Sed nihilo inde faulor fit aleulus retineamus ergo generaleur
  41. vel pur1) aequ ad
  42. hc
  43. (A B
  44. vel 7 aequ se) B aequ (. ) L
  45. i
  46. Ponatur v41 aequ. . y fict j3s aqu ad et Zaqu ()
  47. bc
  48. vel sequ (7) A aqu F A Eq et ago (7) 2 rqu (3) :
  49. si _A - (C, Ly aequ. (A + lB - ID = tE Ergo ly aequ.
  50. Zaego (7 aqu. ( (y, = lB substimatur pro f
  51. 1 - TC
  52. inventus et habebitur valor ipsus Iu adeoque et ipsius Z desiderit
  53. seneralius pro Remi ut ab initio reassumamus Nimirum
  54. habemus: Posa, b aqu (vIC, d (equ ((ZZ.) aequ. juri)7. vel logarithm ce
  55. la D +b ago IC v +id. Ergo. kd d -b aequ. v.
  56. - 1
  57. Jque u. Rursus Ca v + b aequ 1Z v + 1 et pro B substi mendo, ejus valorem,
  58. fiet: ta, la, = ta lb e +F b aequ. (Z la - 1Z1b4a + 1
  59. 10
  60. vel: lata = ta Ib + Ib (a) ABEC aequ (3(d - 13 1b + la- t, fiet:
  61. la = FC
  62. la ld + lC, b C, la - 1. b aequ. ( qui calulus consrali potest ponendo A vel alium terenam
  63. ulu
  64. logarithm
  65. ualem unitate, tunc
  66. ntest ditiam pari a aego de vel a si quidem hic ondoept. _ ve a qu e. sio a it

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 69r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0137?run=39