Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 705 · Overbeck, fol. 11r

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: 0.83.

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. 10v); this page is its right half.

The machine reads it as

  1. Ex mea responsione 3)
  2. palcherrimus est alle numerorum signorumque cocnsus quem observasti in calculo. Res
  3. in forma cajus ualor quaritur; a volb vel C ex prim utur per (1); et a vut b vel E et per
  4. ab vil bc, per (2) et a b vel b1 per (2). abc vel bed per (3) et abc per β), et abe vol
  5. Similiter in terminis valorem formae ingredientibus exprimantur X per (17), y per
  6. X per (1), y y per (2), Y per (2). Z2 per (), 2 per (3y3 et ita porro
  7. gradus (exempli gratia) invenietur. +6 coefficientem ipsius X yyZe seu ipsius XI gZ n
  8. coefficienti ipsius utqui in valore ipsus abed. Hoc nova notatione ita exprim
  9. coefficiens ipsius (1) (2)) (3) in valore ipsus (1) (1)3
  10. aequatur
  11. coefficienti ipsius (37 (571 in valore ipsus (4) (2)
  12. paebed
  13. Superesset jam ut errgremus ipsam Numerorum
  14. cofficientium nem unde etiam hauddubie pulcherrimae illius Harmano
  15. ubi simul ipso aspecta apparet re
  16. inversae cujusdam decussationis,
  17. valori transeunt in notas efi habentis oefficient
  18. notae priores in posteriores, notae superiores exponentis
  19. in inferiores (ex ponendi), et viceversa
  20. haberetur, demonstratio. Ad hoc via fortasse parabitur ex ea methodo
  21. coefficientes in valoribus ipsarum formarum a, ad, a, a, et conssituentium; eamque duplicem unam pasientem
  22. ex ipsa serre comparatorum inter se valorum a on pro a, aa a, a erc. alteram perfectis imam ubi
  23. numerus coeficiens datae combinatunum
  24. forma essigrrandus exhiberi potest ex ipsa forma Exmplicausa in xemlo ipsius ab noumerus numerus 24
  25. inde pendenti quadam ratione ab omni serie atque comparationi euu extraneo
  26. coefficiens ipsius XrZ seu ipsuns 19 29 g erui potest ex ipsis notis ex ponendis ex ipsis notis Exponendis
  27. (1Y, A) (3)), et exporentibus 1,21. Memoria modum non teneo, sed seheda consignavia quam
  28. et cibi monstrare olim memini Hanc mecum afferam; incipeendum autem faciliore Mehodit, nempe
  29. ab ermendo lege seriei, quae, initio empirice procedit, sed ad scientificum altur oud viamlapent. It separatiu
  30. comparando valores ipsarum formarum ab, ab, ab erc se statim aperit progressio
  31. ab -
  32. ait = xpy - x2 - 29y +43
  33. Vde abacus valde illi convinit quem constituunt valores formarum a aa a etc. Sed hic
  34. ab = By- X Z. 3xgy +XB + 5yZ - 5)
  35. ilud singulare, quod Ubi 9, Z R ete. simplice, multiplicantur per X, coefticiens semper est unitas
  36. ab = xty - pZ. +XStXB+ ye - X try - 372- by 3 +6d
  37. ab = Xy -XZ SXtXBGey-X) +SX. axdey BIXd - 7gy Z + 7Zβ +7y)-73
  38. ab = Xy -XZ. 6+ 5 1APy. XV +9py 2G CX 1xy B r X a 17X 2 + 9r Bt guys -xE - 29 48, 2 + 85 - 4B- 87]- 9yd 18
  39. oporcit autem ad abxlvendam progressionem, ordinare reliqua decundum y, quasi X esset = o, et secundum Z, quasi X effet =3, et y - 0 po
  40. ita secundum y ordinando prodibit
  41. eserogd
  42. -aec 17 18
  43. Et ordinando secundum Z puodibit
  44. ab = + 4
  45. 82)
  46. = +72
  47. +Bβ+8
  48. cEntiam simuli disponendi ratione in abaco valorum pro ab, ab, a b et c, harmonia apparet, immistis
  49. quibusdam in speciem irregularitatibus, quae intoto, coreganturm in abacorum collatione cotrigentur. Ecce
  50. abbL gy - 2 F2B
  51. abb- xyy - 2X Z + 5XB - yZ- 5)
  52. ae bb = X,9 - 2 Z +2P 3 + gxy -6 p) -2y - 372+293+65
  53. a bb = Xyy - 2X Z + 2x(3 +6∞y 2- 2X) - 3X - 7XZ Z quy B3Y7Xd 1392772(3-39)-73
  54. abb= Xyy 2XZ r2X 31 8Xy. 2X)4 y. 9eZ- 6X P DX L0KysBaru) + 29 4 2y22- 4 gy 3-aβB- g )+ 4yd + 8b
  55. Et ordinando secutuu flle)
  56. abb - gy + 2
  57. a lb L 2y +L Ber L3y)
  58. elbus die
  59. ed
  60. 377+60
  61. 172B.18
  62. tryze t 4yd
  63. +(B. 82)186
  64. Et ordinando secundum Posilo X =0 et y-0
  65. n
  66. 5). 37 46d
  67. 18-4188

Cite

LBr. 705 · Overbeck, fol. 11r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0021?run=74