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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 124r

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: 0.80.

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. 80v); this page is its right half.

The machine reads it as

  1. yi. Ergo 2ap L 2xP = 2y. seu p = - 2a X 4 X. -
  2. jam per ipsa osdinata, dividatur per p. oritur differentia:
  3. PX- GI). Ego XL.G10- 1
  4. XL WL
  5. quin Y hoc loco- T2ax +X
  6. L4 X2
  7. atx= sraxga atX - agx
  8. Max+X, SraXEXD VaxX
  9. g a + Xa quae quadrabilia. Ium Xa - y. Ergo X4
  10. Podum sul explantae epuse fignia
  11. S2aX (X axtX
  12. cy
  13. Tax
  14. fot Xa -y; vel Xa - 2ay+ 2y
  15. selfigura equisen entogenta figuuae sed
  16. aequatur semper ei figurae, cujus differentiae sunt
  17. raVI haec figuia fingipo
  18. d. ex data circuli quadratura, dabitur hujus figuit etsi minus Geometricae dimensioe
  19. ex data huus 2a dimensone. Haecautem figura pendet dimensione altrius.
  20. et vicissim et haec pender ex quadratura circuliqe est enm figura angllorum.
  21. sax +X Ergoquadratura hujus figuro, cujus differentiae sunt homogeneae figurae segmentor
  22. en quae est quadratux figurae segmentorum pender ex Circuli quadratura, videndum au hoc
  23. porro diffcientiae sumum Circuli to addatur Htume seu 1. fier a + X+ 2aX = ZaX -X -
  24. aliquem habent usum. Pome diffeentia
  25. 2ax + X
  26. a bet Hyprb.
  27. a 2aX+
  28. anni circuli homgene fovsra
  29. cum aequatio qu in haxu aeus ut alibi demonstraum. Nolabile exemplum ex quo q
  30. aprare unitatem addi, si modo fractionis cujusdam nonmeratori addideris ejus denomina-
  31. raxtX
  32. a Xa-X9
  33. DEiu auferatur
  34. ca, = Esus dist entt B est 2 v, ao 1= 2 fied. a - x unde radio:
  35. Cuoncuus labus a
  36. Sae
  37. as
  38. Unde fiet: a = X seu = X. Summa ergo henu figurae dabit f
  39. figniam cuu eqva sit Spatio uperbolice Symptotos. Syntomos.
  40. ctristices per
  41. grad. 1. seu sinu grad B9.
  42. sed ne funtine mrinali sit excundum. summns sinum conplti ex Tabulis, qui est 99984. cum ducam in sinum areus
  43. er um
  44. e
  45. primi gradus: AT452, fiet.
  46. ardatur be. B a b
  47. Sedo Circuli 2 grad.
  48. ductus in 30
  49. 999847
  50. 4 52.
  51. 199969 4
  52. 4499235
  53. 39199388
  54. 6996929
  55. 04, 5 56, 8 4 6, 527, 152, 663, 911551 875
  56. 847, 086, 6 98, 527,l5, 663, 911, 531, 87i
  57. 000,0007000, 000,000,000, 0, 000, 000, 00d
  58. 17, 449, 329 84
  59. 000000000, 000, 000, 008
  60. 1 quod a disca inta eectan ite ut semitin et 7452, 881 2 30, 5 72, 402,663, 911, 331 1875
  61. diadus in Edhabit ipsum Entalum, Aotatum Ftud
  62. et dicctus in 90 semcucutum q etum
  63. cata in 3b0, fit Erculus daplialus, qui it M, _X N XX K Y X= A3, etr9Y2 4b9191,
  64. 180C arcus 2. guodo et tang. arcus 1. grad
  65. quo summa ducta in 1 facit l ector2. Grad
  66. dyplicati
  67. R. ea crgbende
  68. s 36, 572402663, 91, 1t, 150,6
  69. 1d4, 717, 287 3 83 434 415983 +69, 191 2500
  70. C2. 35864469 17 172079917345956 25
  71. 62 830372 +B 0060649590081514
  72. 1,0 000 0 00 0 010.00, b 0 cp 10,v 0 0,000,00
  73. porcat veritati conputire Tangens posito tantum R adco 1000,000 et sumto 360 vicibus tangente
  74. ot cocumfrentia erit B
  75. 7452 unius gradius, illes dabitur, 6283,800, hic 6242720 illud cucumferentia polysgont
  76. e ia i dum cm fumere en ren
  77. ay= ax LyX
  78. seu 2ay - 7X= aX,
  79. BIBLIDTMECR
  80. ACIREAE
  81. (2984 41000,009000,600,00d
  82. 0000000,000000,000 00d
  83. 572, 402, 663, 911, 591, 873

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 124r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0247?run=39