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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 56v

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: 0.87.

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

The same scan as fol. 48r (00068195:0095), where its text is given.

The machine reads it as

  1. An plus vacum reloaquant majores globul
  2. Quam minores, vel contra
  3. A triangulo s quila tego sulitem ABc alim conin ate
  4. lat
  5. c
  6. dia
  7. CFC
  8. vircul
  9. tress extantes cirenti
  10. ces sextantes
  11. en ciremlus dimgdius Resiiduum ADG BdF
  12. ratus D
  13. seu circulus di
  14. er eadem ratio sit rids aequilateri adspliviulum.
  15. cujus diameter lateri trianguli aequalis, eadem etitum sempois ratio orit, ad Csirculi ad trilineus, sive
  16. majores sive minores Circuli adhiblailinea seu oruiguo autem globulorum
  17. numero tot possunt computari circelic quot pori quot circuli pancis det
  18. cujus, eo mina error. semper ergo in spatio magno
  19. globulis aleno, eadem ratio vacui, ad plenum nulla
  20. et quo ma
  21. ratione habita magnitudinis globulorum. Erravit ergo P. Chales
  22. si
  23. qui credit pulveris pyrii grana ideo non dibere usto majora quia
  24. solopeto majora essent grana majores poros inter se relinquerent, qui cum
  25. majorem habeant rationem ad minus illud spatium. Cerron minuerent actionem
  26. pulveris. Sedvvat Pyrotechu. lib. 1. prop. 1. sed vera ratio est, quod
  27. _ grane Aminis magni in interiora non facile iiflanim a afficiuntur
  28. illud examinandum est, an majus minus ve Vacuum fiat, si inaequales
  29. asthibeantur globuli. et triungulum ABC non sit aequilasterum, sane
  30. sectores LFG ADG BDF, GCF sunt portiones ad Circulos quorum sunt portiones, ut
  31. erit ergo
  32. anguli A. B. G sunt ad duos rect quatuor rectos, seu ad ambitu
  33. ADG, bB DE, CGF A + B Ang. A + Ang. B + A ag. C 2 rect aequL
  34. 2
  35. + rest
  36. 4 re 1t
  37. Quaeritur quae sit ratio trianus ABC. - p DG = BDF = CGF ad lirc A + Circ B + Circ C.
  38. Circ.
  39. circ. A. circ. B
  40. videndum an triangulum tribus circulis cisgronscriptum sit sit simile ipsi ABC. sed
  41. non videtur; item an triang. DFq simile Triangulo ABC. ita vodetur
  42. instribenda erunt tri vel circum scribenda polus goua
  43. crilime
  44. sis Honiam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 56v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0112?run=74