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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 24v

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: 0.74.

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. 23r); this page is its left half.

The machine reads it as

  1. 23 A v
  2. sahma also wengen erwechnter 4 difficaliate mema zuflucst zu
  3. ex so
  4. es
  5. - b
  6. a
  7. en
  8. as
  9. Mhsen. alo meinem muju R. guligston nister, so mich mit Beiner
  10. e
  11. n p-
  12. wn langta unter eizung in meinnmr gagenwe artige . ver darestlichu
  13. ab
  14. Pp
  15. hulonde vrahst. Gott allein vergunigon kom, Wenil etlicha mutatu-
  16. ses
  17. hes politicae, (davon rcht wial zugrniben) nebst einigen impedonitis mo-
  18. su
  19. C
  20. ex
  21. ralitus in foserndinee nis perturbae, big ote wird wast
  22. H mittel choffen, unter deße musich much it der plca v. abitra
  23. eis tro, bist die hait mird zu dan concretis halffe. le in-
  24. 26 p-p
  25. s
  26. dißten nnchricht vom phosehoro, V. bitte memer gryheliche libertat
  27. ee
  28. V confidence zu vergate, dare img ninch Deine guthert viellaccht Eud writ
  29. c
  30. on
  31. 1.
  32. ptreite lorstat. Virbleita indest beharrlicht,
  33. VExayu
  34. ses ma
  35. A e
  36. s
  37. Fires 44: Agort. 92.
  38. Ergo fiet Xdx + ydy3 : l = dl
  39. Vaa = 2ax +XX + yu = M. Ergo dm = Xdx rydy. - a dx,: M
  40. bb - 2bX +XX +gy = n Ergo du = Xdx + ydy - bdX,: n
  41. = U+ m +n. Ergo
  42. o = xdx +yd) + X AX + y AY =a ax + Xdx + yay - bax
  43. Ergo dy: dx = _B - X: I
  44. +a - x : m + b- X : n 3: y: l + yem + y: n
  45. FE,y AE, X; BB AB, a
  46. AF
  47. et
  48. AC, b
  49. BF in CFn
  50. BE a =X CE = b = x
  51. Ergo TE = _ x: l + a = X,: m + b - X, : n
  52. seu TE
  53. (: l + 1: m + I: n
  54. AE: AF + BE: BF + CE: CF
  55. I: AF+ I: BF + 1: C
  56. (D)(D). C jam DG tangens in D occurat id an verum
  57. sit calculo invenire licet, ens sed compendium praebet meum
  58. theorema olim circa quadratura circuli communicatum Nemp
  59. ducatur DG. Tungens in D. sit ipsi eq aequalis Y
  60. evit LCMHL
  61. 9. d4
  62. dupl. LCDL. et proinde. H(H M) Na C D (D) dupl
  63. 1(P). jam F(F) (M M
  64. ag. dupl CFF). Ergo (per 1 et 4) erit F(F) MIM ay dupl. DE(E()D
  65. Ha auu
  66. cap
  67. et proinde F (per 5 et 3) erit H(HH) F i q. dupl. C E(E) quod
  68. Esecet AB in P. Erit e ducatur Eq tangens ine
  69. circuli ser angulo ad CErecto dibet Cin et seti et. ER sit intervaleum ordi
  70. natarum ex E E) in AB sucendarum . Frit 2Q in ER g. C2). Ergo per 6 et 7. fet
  71. o.
  72. B
  73. lev. oba
  74. demonstrandum est ADEA = CAF
  75. Ergo CFF)
  76. vic
  77. e
  78. a an sit vera.
  79. Ergo CQ: 5G.
  80. CQ in ER aq. HF in F(F) seu SG in F(F).

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0046?run=74