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Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 30

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: 0.91.

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

The machine reads it as

  1. representetur per figuram cujus
  2. basis represenbet bobum, albitudi
  3. nesvarice representent ordinabim
  4. dueta. applicatum botius resue
  5. tans representabitur per recbum
  6. constantem qune intobam basin
  7. dueta figuram priori aequadem
  8. producit.
  9. Ut si AB sit virga diversa
  10. rum in diversis punctis (D) gra-
  11. vitatum (B) (C) graritas ipsius
  12. virgae seu media erit LM idest
  13. AH vel BGbasis rectangu si ABG
  14. aequalis figurae planae AZ)MB
  15. exvariis recbisordinatim ad AB
  16. applicabis facta patet ex defi-
  17. addatur
  18. nitione G adiprop: 7. 8Z
  19. Definitio 6
  20. MEDIDM ARISsSNeSI
  21. CDM est summa quobcunque
  22. quantitatum divita perquanti
  23. datum numerum.
  24. sic medium Aribhmeticum,
  25. 4 nempe plus
  26. inter 3eG, est, summa, 3G seu Z
  27. divisa per numerum quantitatum
  28. sed
  29. seuper2 fit 4. Medium Arithmeticum
  30. inter
  31. ua (quantuscunque
  32. sit earum numerus)
  33. inter tres quantibates 3,5,8 est ib
  34. Sujus medii tam Late sumbi-
  35. maximus est ususs exemplicau-
  36. sa in anternativis aestimandis.
  37. ut sitres aestimatores à Tudice de-
  38. putati remaestiment unus 81,
  39. alter 90 berbius 9b nummorum
  40. aureorum medium pretium esigen-
  41. dum erit jeu 89 aureorum
  42. O anea.
  43. idem in aerestimatione spei ob=
  44. binet. eodem aubem modo 8 medium
  45. Geomebricum inter plures quap
  46. bibabes inbelligipotest, cujus
  47. Poidicet Logarithmus estmedium
  48. aribhmeticum inter Logarithmos
  49. quantibabum..
  50. c
  51. rOp. LL
  52. si
  53. SppLicatum hobius resustani
  54. ex applicatis constituentium,
  55. est medium arithmedicum inter
  56. omnia apphicata aequa lium to-
  57. beus edementorum.
  58. int ipsius AB eLementa aequa
  59. Lia ot, 12, 23 8c in quae ordinatim
  60. duvantur quanbitates 0. 10; 8t L.11:
  61. et 2. 12; FC. ut si esementa 0r, 127
  62. sint

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 30. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068192:0030?run=74