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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 102r

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. 103v); this page is its right half.

The machine reads it as

  1. Numeri Formarum
  2. . in Gradu primo a. numero 1
  3. in Gradu secundo a. ab. Num. 2. 1
  4. in Gradu 3tio a ab abc Num. 3. 2. 1
  5. 3 -2.
  6. in Gradu 4to at ab abi abc abcd Num _ 5. 4. 3. 1
  7. in Gradu 8
  8. a ab ab abc abid obcd el b. 5. A4. 3.1
  9. in Gradu 6to a ab ab abc abc abcd: abc abd abide abcdes
  10. 9. 8.
  11. 7 63
  12. Ut Numer: isti formarum certa Methodo investigentur, consideranda
  13. discerptiones ut 3 componitur ex 2+1 et ex 1+ 1 + 1
  14. 6 componitur x 5+1 4+2 3+3 = 6: 2
  15. C 4+It 3+2+1 2+2+2 = 6: 2
  16. 3+1+1+1 2+2+1+1
  17. 2 + 1+ 1+ 1+ 1
  18. a
  19. Non potest discerpi ultra sit 1 = 1. Uniscerptio una
  20. 1 + 1
  21. Una literm dat terminessas, unum duae dant duas
  22. uniscerptio 1. Biscerptreles
  23. una
  24. 2+1 triti una uniscerpto du 2scerpto 1 tusceratio 1. = 3
  25. 3+1. 2+2) 2+1+1) 1+ 1+ 1+ 1) Isc. 1. 2sc2. 3sc. 1 4sc. 1 - 4
  26. 4+ 3+2 1 3+P+1_ 2+2+14) 211+ 1+1)1+1+141+1
  27. C fre unisc 1. bisc. 2 trisc. 2. quadrisc. 1 quinisc. 1 summ. 7
  28. Generaliter ut rem investigemus. sit literNume gradus exponens a
  29. Unisc semper 1. hisc est a2 vel a: 2 vel a - 1: 2
  30. prout alteruter est integer. sit X = a: 2 et X = a - 1: 2. fet
  31. XX aZX + aa: 4 seu 2 4XX 4aX + aa. seu
  32. 13
  33. a. 4 V
  34. +2 x - a
  35. XX - a X + aa: 4 = +aa: 4 - ac: 4 = 1: 4
  36. +1 ta: 4 - a: 4 + a: 4
  37. 4 1;
  38. + 1. 4
  39. Et X = 1: 14 +a= 1:4 seu X = a: 2 + 1: 16 - 1: 4
  40. si ergo a sit numerus gradus erit numerus bisceptionum a: 2+ 1: Ab- 1:4
  41. ec scilicet, qui succedit in integris. Etium principium investi–
  42. gandi fuit, quod Biscersitiones fiunt ex a imiscerpton. a - 1
  43. + uniscerpl. a = F, + unisc. a+ a- 3 erc donec a consumatur
  44. similiter ergo Triscerptiones sunt lerisc a - 2 + bi sc a - 3 et.
  45. ergo tresc. est a- 2. 2 + 1. 14 1. 4 + a- 3. 2 + 1: sq- 1: 4
  46. a412 + 1. Y4 14. etC. seu trisc = a: 2 + a: 2 + a: 2 etC
  47. C 113 14 etC32 +1.54 +1V4 +81: 4 esc = r. 4 - 1: 4 - 1. + et
  48. in est trisc = a: 2 mattipl. per quaeritur quandi continuandum? dico tamdiu donec cumnu
  49. ab a sub trahendus, seu ellius viscerptione opus est cum limitatione tamen. sit, v. g0. a-b
  50. non possunt omnes viscerptiones de a 2 adhiberi, quia eae tantum ac aberi possunt
  51. in quibus maxima pars biscerationis ipsius a-2 seu 4 non sit major quam 2, sic, adribere
  52. uemma rec tar
  53. 102
  54. protiteris
  55. gna
  56. 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 102r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0203?run=74