Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 511

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: 0.75.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. toce
  2. ac relu
  3. de mod
  4. .
  5. mimum
  6. eentine
  7. reme
  8. enie
  9. ea no
  10. im
  11. 3
  12. D E ENI A ZT XITS E F NITN TM. TS.
  13. SIF
  14. quantitates non ejusdem denominationis fuerine, iplas sub eun-
  15. dem denominatorem reduco. Quo peracto, considero hujusfra-
  16. ctionis incerrum Numeratorem cum unoquoque Membro Peu
  17. parte leparata Denominatoris (li ex direrlis partibus constet)
  18. cariquam unam quancitarem, Maximum aue Minimum delignan
  19. cem, ac unum quodque membrum seu partem separatam Nume-
  20. ratoris mulciplico per dimentionum numerum quancitatis inco-
  21. onitae iltius Nembri, postquam ab eodem numero establatus di-
  22. mensionum numerus incoenita quancitacis, qui in hoc Membro
  23. Denominatoris reperitur; productoque per hoc Membrum DC-
  24. nominatoris mulciplicato, erunt omnia ejulmodi produera Cimul
  25. ∞0, ut ex sequencibus exemplis clariuspatebit.
  26. I Exemplum.
  27. F(FO Fa a b3 + 5 a3 X f ∞5
  28. a 3
  29. = a X F bx - F a b ∞ alicui maximo.
  30. Deletâ quantieate cognita ab, reliquisque terminis sub com
  31. nuni Denominatore reductis, obtinebitur
  32. 44 a b3. F5 a3X L X5- a x + ] bx 4
  33. NuIE. nuI. Per - 3, - 2, + 2, +. 1, + T:
  34. Ht = T2aab3 - TOA3X L 2~5 =ax F L b x + UIE. PeF N∞O.
  35. _, diridendo per ∞3,
  36. =- T2a a b3 - TOA3 X F 2 ∞ 5- a X E. L bX + ∞O.
  37. suxta generalem Methodum
  38. et
  39. 44 a b3 +- 5 a3 X - X5
  40. X3
  41. a X F bX L a b ∞0;
  42. d eAt, 4a ab3 + 5 a3 X F X5-- a x + b x + F a b ∞ 3 ∞ d;
  43. Deu, ordinata aequatione, x5 - a x + + ab X3X + 5 a3 X. F 4a ab3 ∞0.
  44. Lb-
  45. = 23- FF, O, 13 =- 23
  46. 3
  47. 2XE- a x X X- 1O43 X- 1244b3 ∞O.
  48. Fb
  49. 2 Exemplum.
  50. a d v - b 43 - X4
  51. t
  52. A
  53. A a + X3
  54. nma.F N 3 alicui maximo.

Cite

[Ps. 1], fol. 511. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0533?run=74