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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 234v

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: 0.78.

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. 235r); this page is its left half.

The machine reads it as

  1. K n
  2. OKDKH CNH
  3. K GH BKH DOK, 2 DA
  4. KDH OM. OKBB
  5. D(C= 2W. XEDa
  6. co aibus quadrantis.
  7. ob arcus ar
  8. BE arcyp a.
  9. A. 1 K Y
  10. sit nova pr ad AB et a ad A
  11. in
  12. n A3. KF
  13. ad cyclrendem eept 4
  14. DE, est perpendiculans
  15. XB B2 7B HE, DK. d me
  16. un 48 XW
  17. 3B BX KE
  18. id est radius per sinum versum na Jam
  19. KE
  20. ergo
  21. A
  22. Y a
  23. Omissa cycloides tantum
  24. ipseus K consideremus. Earum momentun
  25. ex O habetur est enim n A r ra
  26. ergo Momentur omnium M seu K8 ex 0 aequatur spatio hXCB
  27. utrobique similis eodem modo, BZ 98 in B9, d8 eB
  28. ut sit
  29. Eodem modo constituatur et (3X. (3) E. 3)e. patet monentum
  30. omnie AR (DZ, in ABK. aequari spatio C 3 DA910O
  31. scursus omn. (2) KO Z in A OOK p7 OAOE.
  32. V
  33. 2
  34. AB A ejus MB AB, XE si A p, r+ v. fit AE,, TrV
  35. n
  36. 4 in
  37. sam Equidem D3K + OK B OB.
  38. bas Eron
  39. 9XO41a
  40. Ok H X 8
  41. mentum ex DD Ses spatio
  42. line fimum, (DBC) D, B
  43. er K 8 + (3)K 3= (emicicumferentiae seu DC) sedqdinte
  44. XG
  45. roa
  46. ad
  47. OP, r D t seu OX, FY K Z ( per superiora ubi Cm H CX
  48. 3) n 3 A seu B( 2r - MDt seu DOOK, B498, B rOKOZ, rDa.
  49. Habemus ergo jam K P + 3) X B) Q, seu _ O a + O a 2Co ⊓ DC
  50. ob crcus quia XB
  51. et (5XDZ. at hi duo arcus simul e semitinumferantiae B9D, C
  52. anDE
  53. arc. Eg
  54. ea
  55. Ergo 2r (H EY Dat ) A Oe OA + 3( . Y = e O A. Est autem (sO ACM
  56. Ergo S2Y Sea +2r(CM = sop Bs. Eodem modo sercs e Se a + 2YSO - s0pO
  57. e (firo) H (+ S0a tersO =SD. Si de totis loquamur
  58. s a +orSO =(0) ∞A rum 2r5B n 21SC in totis
  59. sed si de totis loquamum etam in (OD et s etiam est quasi quoddam complementum
  60. Una quaeque enim DA etiam est 3) et una quaeque et una quaedi n eciam est (3) en.
  61. sed nihil hinc, et video esse nihil hinc haberi. Res alitr institnenda momenta sumendo
  62. integrum B82B sumas redibune simul et ordinntae er abo sise. summilis absussis BX. BO X. BEX
  63. sit ABC curva circuli evolcitione descriptae erit BGavus
  64. E EF + FL
  65. L
  66. FL
  67. EF. Ergo EF
  68. FM
  69. Noua tba
  70. EF-Fm. Fmp
  71. FI
  72. FL, EF
  73. EF+FL
  74. ABB Y.
  75. OXs
  76. lne
  77. un

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 234v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0464?run=74