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Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 41r

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 machine reads it as

  1. foc bone sed melius in alium schedam translata.
  2. si trium punctorum aeque gravium quaeratur centrum gravitatis
  3. nempe ipforum B, E, C. quoratur primum centr. gr. ipsorum
  4. B et E, nempe L lut in medio E B. junga
  5. tur AC, et triens ipsius sit LM. erit M punctum
  6. gravitatis quaesitum. idem est si CE biseces in L) et
  7. jungas(L) B, erit hiens ejus (L)M, idem M, quod ante
  8. et rarsus si imigans CB idque diseces in () et
  9. jungan((E eut rursus triens ((L)M. Patet hinc, ut
  10. n
  11. vel latera
  12. obiter dicam omnes rectas L) BB, CL E(L)) quae angulos
  13. Transi trianguli bisecant, concurrere in eodem puncto, M.
  14. sed si puncta sint inaequalis gravitatis, et sit BL: EH : E:B et similiter
  15. C(1): E(6):: C: C et B B(L)): C(L)):: C: B erit cumrursus
  16. coincidant puncta M, erit BM (L) M:: C+ P: D et CM: LM:: b + e: C
  17. eshae rationes nuitate auctae sunt
  18. e EM: L)) M d B, + C: C s rccipioce, ut b c, e.
  19. taque it
  20. trianguli alicujus latera secentur BCE BEC latera tria
  21. (,BL
  22. quod fict.
  23. ecentur BG in ratone in L, ratione BL: XEBL. EL (seu B
  24. quod fiet.
  25. et EC in (L) ratione EIL): C(L) denique BC
  26. EC EC
  27. si et ratione CB C). BL))
  28. B
  29. CB
  30. BE BE
  31. CB in (L) quod
  32. sitque ratio BLB: EL:: C: b et 8L): C(I) :: C: C et ((LV: AL : b: C
  33. erit cmposita rato copositaratio rationis BL: LE et E(L): (LC erit C.
  34. et similiter composita ratio E(L): (GC, et C(L): (L) B erit bC et
  35. .Ri
  36. denique composita ratio Cst: (1) B _ et BL: ( LE erit ece
  37. pursus ilem ratio lationis. L BL ad rationem sE(L): C(L)
  38. est b: C Ratio rationis CL) (L) E ad
  39. vel rationes BL: EL, et E (L): (L) C et C((L): (L)) B
  40. erunt inter se, ut , ec ee, bc itaque si trianguli
  41. tria latera ita secentur ut rationes secantes ordine sumtae, sint
  42. ut qu eC, Cb, bC, et colposilo ex ipsi binis eode
  43. vel composita exbinis eodem mo ordme sumtis, ut ce bc, eb
  44. rectae jungentes vertices cum puntis interfectionum concurrent in eodam punt
  45. erit
  46. Ansic iataratins EL: BL ad rat. 2(L) +C(L) est
  47. 13
  48. 2 C
  49. M
  50. C duobus lateribus,utcunque sectis
  51. Ba Brevius si manguli B3, quo secabunt sese in M, d
  52. ungantur (L) et CL
  53. et
  54. eum
  55. in tungatur M qoqdae producatat si opus iphi Eoccurrat in Cpuncto (L)
  56. devique
  57. ratioB (L)
  58. P
  59. in L
  60. i
  61. u et
  62. composita rationis 1) rep e
  63. EIL). Ct
  64. quae pulchia est constructio, sed in
  65. fuollor jam nota

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 41r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0081?run=74