Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 90r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 91v); this page is its right half.

The machine reads it as

  1. 40 = XX + ab, aD = XX + ac B = 10X +1 a, : 00.
  2. Q = 20X +21a,: 00
  3. 68+ (10D = BZ saB + vNa D. fut + HC3 + 2f6 Q 10D = 22a 0, vva D + Zv a O)
  4. L et a7= 564 unde fiet
  5. 6694 + s0D = (F : mim) 58a0 + (mmo aa ) 4gag A
  6. 68 = 10. 10XX + 210. 11 aX + II. Haa, : 00. 00 9Q = 20. 20X X + 2. 20. 2 aX F 21. 21aa, : 00, 00
  7. 88G9 = qu (10. DXX + 10. 21 ax + 11. 21a4) = 10no 3etox + 2. 10 702 a X + qoit nt anX 4 q on a axtua 3
  8. Epet X datur ee 21
  9. I1. 2C
  10. Ex X et X A quaeranturfiet um
  11. (est OD= Atod
  12. Ex X et X, quaerantur 21: M, et 20. 10
  13. et ultima aequatio est pro Xx
  14. aaqu
  15. 4 1010, 21. 21
  16. 11. 11, 20, 20
  17. 110. I1. 2
  18. (.: nasB at F, 00. 10 X + 00. 2. 10 aX
  19. H H2t
  20. 2. 11. 20.4
  21. + ff ab06 xx
  22. +00. aa Xx
  23. F00 10 ab XX + 00. 2. 1a 1 abau
  24. Mm gGaD) nm, 0d. 20X 4 05. 2. 1. 1a + 0d. i naxY
  25. aa
  26. 12 A
  27. sane XX Nam tan = fiet aam, amt an + 2a tum = XX et mm + aannB2a M A
  28. =4aamn firi ata Zatitn)
  29. +00. 10ac Xx + 00. 2. 2. dacax totlacia
  30. Exi Et Hic calculus esse ab solvendus inisi ex seqq. poter o rem bereius hateremus
  31. ses
  32. M
  33. +harm
  34. A = t acmtn) tasom et + = Sea Vmn + acmuni) = san + tan
  35. videamus an ex a em 2a tem + a (ntn) possit extrahi radix, nempe fcat
  36. radix 2Vmn + mAn possit extrahi radix sron 49 et fiet stmn aagu + rafigsima L
  37. 2ann + a (mn) fiet fg= aa et nn + aague = aemtr) seafmurq = a (n + n)
  38. et et ob f- a g- aa: f fiet ssm + (a . ff) (m + n) ubi pono f esse
  39. +10aem + 1a, fet 11 = aa: f
  40. constantem. sit n = iom + na, fiet ftmm + (a. 1) Aa m.
  41. et m = 4 rC (1+ 10) a B, 10 fiet R = (1+10)18A +a: H, et fiet
  42. Mn = qunoto ae: f et (1+10)B V. f +a:f = atqu f aarrons
  43. e = anCatina) + Ar a (10 + 10. 10 + 10, a)
  44. Resumamus ( Jam + Van = t am + an + 2 Sam = Et fit Ht - a (men) = a qn
  45. S
  46. et H - =. Ergo + = (2 aVmn + a (mtn) = tam + tan. Videamus an Cx priore
  47. latere hujus aequationis radix extrahi possit brmn + ag = _ t et H= aagot ffmn + 2ag f smn
  48. a 2a lmn 4+ abn +n) fit
  49. a
  50. 9- a:f et aem = a (ntn) = a: st +smn, sit
  51. sit n = 10m + ia: ∞ et fiet 00am + 114 =, a: ff + 10fmm + 11ff am
  52. 10 am
  53. sit H1 : 00 = aa: H siet m = (00 + 10) a = 00: 10 ff et m = a: H et
  54. fiet n = 10a:ff. + 00 c: H,: 00 et tan = ( f(a: 00f) 1(00. 10 + 00. 06)
  55. et firt sam. Nan = faa: ) (L + (aa: 00f) (00 + 1(00 10 + 00- 00). ita altertetrum
  56. non exr destmas absolutum in aequae fiet
  57. Ln = =aH +am, :HM- a
  58. Al extrahibile. Sod si sit am- Exx tab, et an xxt ac
  59. am = Xx + bX + ac et an = XX 1 sx taq, utique ex aequatione si siet
  60. seu n = a ffm - a,: fm - aff, seu n = (a: ff ffm - a; : ffm- a
  61. ita evanescente m, fit n. = a: f. Itaque aqu. 5 non prodest, ac
  62. Videndum an possit esse quam ian=at tqte fit em + 2a Ima ff + gema tafalum
  63. sit Zam + ev an + 2Zvatmt. = aat + gymu +2afgtmu sit Z0 = fg et
  64. 22amF fgg un an = aafi +. ffmno 2 mn Rzvo: f), fiet. 0
  65. HZZam + vuffan = anst, hqvomn: siet M = BZa am =aaG,:, Z Bm- avvis
  66. Ego hoan tatineat nst cticem atsi cotesn a p as)
  67. d
  68. podate

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 90r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0179?run=74