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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 153v

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: 0.72.

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. 154r); this page is its left half.

The machine reads it as

  1. eylinder 3. cong 1.
  2. = 2a
  3. Ergo 3 = a
  4. Ergo si distantia centrigrvitalis
  5. paxtta
  6. ax + a +
  7. = 2 X Rgra
  8. 2X R92 a - a X = a = 2
  9. 4
  10. t gx+ F +2x agra-al. - 2xqra
  11. quadiati acbf abaxe ac, est
  12. C ert distantia centri gravitatix e.
  13. hianguli acbabaxe ac. erit effc
  14. Hinc si cylm lonx fint, ut facto, ut
  15. inde fiat cylinder primum duplicandus
  16. est, quia figura generans cylindium
  17. dupla est deinde habemus 2. deinde
  18. hoc 2 multiplicandum per 2 ravem
  19. distantiarum centrorum. habemus 3.
  20. His positis esto arcus adb = x. Radius esto a.
  21. X = aX
  22. IV CC
  23. 11= C
  24. 1X
  25. a -vxqra x u xhqra
  26. Xa
  27. 3a =Rqua 3a - Rq2 a
  28. si arus adb es X. enitarus tex: X 92a
  29. (Ejusque differentia abarm adberique x X a
  30. ducatur in ed. fiet xRqa
  31. distantia Centri ab ax, nempege vel eh negeot. Atddatur arcus iex dudus in ce. 64 ict = X2a
  32. addatur proseymento gie vis. +Z2.
  33. a. poro ag (. est 2a = a. prrso CC est auffrtuo addatuo Btum gec . A a b
  34. Rg 2a = Ng 2a at ed = 3a = R9 2 a.
  35. d
  36. duta
  37. l
  38. ia ha a ra
  39. e
  40. H
  41. X3a = XH4 2a + X (X3a- XAqra , XA N aa + Sa - _9 a + 7 + a
  42. tam
  43. E=
  44. EX
  45. X OX
  46. 25
  47. sa-nqua- 2aaq a t .
  48. 2
  49. d.3
  50. 3a - apqu a= 3a-agrae 9 2+ a X
  51. 26) 9
  52. da = a Rg2a + 3a - Rg2a +7 + A = a - 3a - Rq a = = a Rqra
  53. s
  54. 1
  55. Ergo B, 4- 3a- _4 2a - na H92 a, + AF9 2a - 2- 3a Agrar a - Z. Erpo 44. sad- 2a = 0- cd
  56. 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 153v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0306?run=74