Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 264 · Ferguson, fol. 15r

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: 0.93.

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. 16v); this page is its right half.

The machine reads it as

  1. (seu cum j quam maximo pondere in aequiliorio esse possit
  2. ut determinetur qua forma Moteudinus ventanem commune optima
  3. ad pondus aliquod sustentandum fiat vali dissimum e
  4. videndum est, quantam virium partem mobile
  5. venti portio A, impingens in alam BC
  6. impendat in circumagendum motendinum DEF
  7. circa centrum E.
  8. ex meae Mechanices principiis
  9. Et primum manifestum est de quadrato A() AH
  10. partem tantum nempe quadr. AL impetter vim facere
  11. in alam, et comitti vim tantam quantam est qua
  12. qespectu quadnta
  13. diatum snta AH quadratum A HL
  14. respectu quadrati AH.
  15. Sed porro considerandum est nec quadratum
  16. At proficere totum ad cinumac ipsius N p (quae
  17. intelligitur horizue onti parallela et ad planum
  18. quemadmodiem erH
  19. verticale DEF perpendicularis) circumactionem
  20. circa centrum propelsi propetsionem versus (X) P
  21. ex quo propellendi conatu sequitur circum actio
  22. ipsius EFDEF circa E.) sed tantum partem
  23. ejus ut quad ratum AM
  24. pertio considerandum est eo majorem
  25. esse vim venti, quo majorem ejus quantitatem
  26. ala HG ata ex cipit, id est quo longior est recta AG
  27. Unde concludo Angulum Alae HG ad normalem
  28. AH vel NP, talem eligi debere, ut rec solidum rectan
  29. gulum solidum sub quadrato AM, et recta AG sit omnium
  30. possibilium maximum.
  31. seu sinus totus
  32. Quem ita investigabimus. Sit HG radius (ipsa scilicet
  33. latitudo alae, semel sumta sive data erit anguli GHA
  34. sinus rectus X AG. sunt autem GH. AG it HA. AL. et
  35. rursus G GH AH GIC. A, M: AL:: AH: HG. rususque
  36. AL: AH :: H AG: HGErgo AM aequ. AL. AH e AL aequ. AH. AG
  37. u
  38. Ergo valore ipsius AL substituto in AM erit AMaequ
  39. seu AM ad A
  40. 2 1

Cite

LBr. 264 · Ferguson, fol. 15r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 316). https://leibnizlegible.com/page/DE-611-HS-971140:0031?run=316