Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 2 · Bernoulli, Joh., fol. 212v

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: 0.92.

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. 211r); this page is its left half.

The machine reads it as

  1. et in universum ne
  2. numeri negativi non iptrant
  3. in rationes. Quod etiam in nuper
  4. Actis eruditorum aliunde
  5. comprobavi. Itaque Unde confirmatur
  6. non dari Logarihmos negativorum
  7. Uti vicissim ex clusio sagarithmorum
  8. a negativis confirmat negativos
  9. in
  10. non ingredi rationes vel proportiones
  11. proportionalitates.
  12. defendat
  13. Si quis objiciat Locurithmum T8.-2
  14. non esse dimidium Loga. ithmi T8 - 2, quia
  15. etsi L0g. 78 1+, sit dimidium
  16. +
  17. Logarithmt ta 2. et pro ratione
  18. discriminis alleget quod 12 sit media proportionalis
  19. inter -1 et -2. responseo est facilis, utrique esse commune, ut vadix sit media prop. inter 1 et id
  20. inter 1 et L, sed Y-2 non sit media proportionalis
  21. commune ut 12 sit meda prop. inter 1 et 2 et ut 1-2, sit
  22. nempe
  23. et Y.2 sit medugum inter 1 et (vel certe fingatur)
  24. se
  25. med. prop. inter 1 et =2. Sed hinc utrobique
  26. sequitur legarithmam mediae fore dimidium posterioris
  27. nam lagut est o et
  28. Ergo log. medis prop. inter 1 et 2 (id est 2)
  29. inter tet 2, est log. 1 + log. 2,: 2 sed log. 1 est 0.
  30. similiter loque medisprop. inter 1 et - 2 e (id est ipsius f-2) est
  31. ergo log. medi inter 1 et E ast log2,: 2
  32. log. 1 + log -2,: 2 id est (ob loge =0) log-2, : 2. Res etiam sic patet:
  33. Eliunde etium, cum - 2 sit = 1 - 2 de. in Y-L
  34. prit log - 2 = log f-2 + log. )- 2 Ergo log ~-2 est Ag 2
  35. dimidins log.-2
  36. etsi quodamu
  37. quovammodo
  38. trirent. Que
  39. quemadmodum
  40. etiam cognichinos
  41. in calculum
  42. cujus est radi
  43. ipser

Cite

LBr. 57, 2 · Bernoulli, Joh., fol. 212v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-3653099:0424?run=74