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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 96v

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: 0.89.

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. 97r); this page is its left half.

The machine reads it as

  1. Jnterm considerantum
  2. est, si comparatio possit procedere, atiue
  3. processuram etiam si subtatis xletg. st Z et V, redeant X et y
  4. per 6 et 3 ut plod eat (3)
  5. itaque si in og ubi _ ,021 Z2V etC sublato Z remaneat X, (non potest x
  6. altius ascendere quam ascenderat y.
  7. Ruisus si sublito remaneat Y_y
  8. ope ope aeq. 6 et ; nop ut prodeat (Y) nop pt y altius ascendere
  9. in e, quami Z in ea ascenderat, ergo habemus duas aequationes
  10. ubi eq eet per v unam ( 7 per X et V, alteram 8 per y et v
  11. et ubrobius x et y ascendunt ad eundem gradum superest tollenda v per aequationes
  12. reek 7 et 8. jam si sint duae aequaliones e Ca qu + cvv erc =
  13. et l+ mV + nB Cet = 0, tunc tollendo V quaelibet litera ascendit ad
  14. eom al eum gavum quam habetat D ergo hinc praevideri st quousque
  15. ascendant aequationest
  16. idendum an liceat ad hibere etiam dxa catu differentialis
  17. 0-
  18. Cst CXY O. XC
  19. de = X= 17
  20. vel an sic (X Ax = C. X + sit jam et e = - 1. fiet S.lx. x = B - X
  21. sit AE a. cum si AB sin progressionis Geometricae spatia VEBLV
  22. sunt progressionis Geometrico. Unde etiam si AB sint progressionis
  23. Geometrice, spatia infinita erc ABL erc sunt eliam progresionis
  24. Hirchmeticae su Hinc si AB sit X etio asa dx: x er
  25. nl logarithmus ipsorum X sed tuae log. 28 0 est infinitus.
  26. interim si oqualio, occurnt log X + log. y = _ log. 1
  27. licet senfer, X sit log X, + log y = log. a = log a = log. a -0.
  28. 1BBB ubi palet logarictum unitalis esse infinitum quomodicunque aggaculur
  29. loganthmi linearum. fit blo ipsius la logarithuus sit d, et
  30. psius ligaribimus sit n et ipsius in log. sit n. sit m = b. a sietg
  31. s- e log b e= log. a posito M- B
  32. si n= a b fiet s, sit AE a, cujus logarthmus EG. sit l.
  33. sit AB b. cujus logarithmus sit h. Ergo si AM = bb: A, siet
  34. M P = 262 2h - 1 Et si AM = b. a b fiet 1MP loge ton tog
  35. fiet MP = 8 n+ ih - nl. ubi lumen 2. sunt numen
  36. sit (xt 3 (aa dr. X = saa dy. y = 2Xy.
  37. Vatu quaa x sit qua Hic si
  38. Hic si tam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 96v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0192?run=74