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Leibniz-Handschriften zur Mathematik LH 35, 1, 14, fol. 107v

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: 0.94.

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The machine reads it as

  1. Ex datis lateribus trianguli rectanguli
  2. lateribus circa rectum hypotenusa sic per
  3. Analysin Logisticam investigari potest
  4. assumendo tantum illud principium vt
  5. quod triangulorum similium latera sant
  6. proportionalia, quod inteq primaria
  7. habeo et in celculo inrspensabilate
  8. Logistico indispensabiliter supponenda:
  9. s angulus rectus Quemadmodum et quod tres anguli trianguli
  10. sint onobus rectis aequale
  11. BC
  12. quaeritur longitudo ipsius AC. ut ergo verriamus ad calculum
  13. ex B agatur normalis in Ad, habemus quatuor incognitas
  14. AD, CB, AC, sed pro iis investigandis habemus et quatuo
  15. tres aequationes nam ob triangula, similia ABC, ADB, BdC,
  16. fiet AD: AB:: AB: AC seu AD = AB. AB: AC et CD. BC. CD est
  17. a
  18. CD: CB:: CB: AC seu CD = CB. CB: AC. jam
  19. AD+ DC = AC. Ergo per ex 3 per 1 et 2. fie
  20. ABqu. + BC qu
  21. : AC = AC turqu
  22. enique ABqu + BC qui _=
  23. AC qu Quod erat dom
  24. AD. AC ABqu similiter CD. AC= BC qu.
  25. Ergo
  26. AD+ X
  27. AC ABqu. + BCqu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 14, fol. 107v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067976:0214?run=39