Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 21

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

The machine reads it as

  1. Dec dI
  2. AM, qua
  3. Jomina.
  4. Ori tue.
  5. etm. UB
  6. 11a5CC
  7. delieule
  8. Tanquam
  9. nieaten,
  10. Foccitalte
  11. uE d, auI
  12. scrivele
  13. aCom.
  14. ubmeri.
  15. came
  16. I reGII.
  17. 16, qui
  18. Muou
  19. adctatur
  20. acur de
  21. Fo.m a
  22. 1
  23. e lesibo
  24. 11616
  25. bp1
  26. 110
  27. BLA T EE E SE OS EINFN ERS ALTS.
  28. producto scribendum esse numeraiorem aa. Non secussI
  29. 2.
  30. mulciplicetur per a - b, productum erit bb. Unde patet ad muI-
  31. ciplicandum per 2ab; quoniam mulciplicato, per 2b, prO-
  32. ductum ecta; superesteantum ut hoc productum adturc mulcixsi
  33. cetur per a, ut habeatur quaelicum productum aa. Similicer ad
  34. mulciplicandum = per 2 a b: cum mulciplicato = Per 2, Hac r; hinc
  35. mulciplicandum tancum rectaox per ab, de tir productum quaesi-
  36. cum 1 ab seu ab. Fclic de aliis.
  37. De Deductione fractionum ad simpliciores.
  38. AaC
  39. Am ad reducendum Fractionem, ad simpliciorem; elisa com-
  40. munilitera c, qua tam in numeratore quam in denominatore
  41. 3
  42. reperitur, hiec . Sic e ad abbreriandum =: elisisliceris a, b,
  43. numeratoris acque denominatoris, hoc est diriso tam abs quam
  44. abcperab; het =.
  45. Eodem modo ad abbreriandum
  46. aac aad
  47. cd -ad: quoniam dirilo
  48. AACPEECA, OrITUT=, id quod mulciplicatum per cd -d d, pro-
  49. ducit aac = a ad; hinc
  50. ccum, eric
  51. aac = aad
  52. ca- ad ad minores terminos redu-
  53. Pariratione ad reducendum 2ac = aad - bbc f bb d
  54. cd- dd
  55. : quia (uE
  56. supra) diriso a acpered, oritur, id quod mulciplicatum per
  57. Cd --dd, producie a ac = aad; eE rUEIUS = b bc divilo per cd,
  58. Oritur - =, quod percd = d d mulciplicaturm producit - bbc
  59. abbreriatum, Facic = 2 = bb
  60. Lbbd: hinc 2ac = aa d - bbc. +- bbd
  61. cd - dd
  62. ab ccoomm. = 4abCC m3 P
  63. SiCe
  64. oop PZ = Ampo qt abbreriatum, Facie
  65. Non secus
  66. 2a C- a a d = a6 d + a a d
  67. cd- ad
  68. a cemm
  69. PPZY.
  70. reducitur ad vel
  71. A6
  72. PaG. 2140
  73. lin. 15.

Cite

Ps. 2, fol. 21. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0045?run=74