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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 120r

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. 119v); this page is its right half.

The machine reads it as

  1. XXtB, X dx A (Siteau d vrraum = Sxe +sixtm sdo: semper
  2. in idem revolormur videndum an pervenatur ad aequationem
  3. (dn
  4. ubi n = t vel 3 vel 5 etc
  5. quaeramis 2 + 2 + + = eto = dun sud an = 2 v = pa
  6. de = d = = - = + 1- = (= nn - 2M du - an Fam- n 4 - dn
  7. -2. 2 = 4
  8. Y, 1+2
  9. nt an
  10. Ergo sen - (du
  11. un xntan
  12. hoc habetur
  13. n, n F dn
  14. M. ntdn nn. ntdu
  15. jam sudn + sndo + du V = + - du v
  16. (an
  17. nintan
  18. Ergo et hoc.
  19. sed hoc
  20. - vdn
  21. aliunde
  22. Ergo
  23. Ergo hinc nil dis limus
  24. dX ∞+ Xet sxd 1 3at d n-- n+ n 3rant sndnan + du
  25. Ergo n3 = 3sn dn + 3d snan + du n Anv = _ nV L nt dn v + 2vdo tdo
  26. sy xga AB et sit w = ntd
  27. ino = 2nvdo + ndv + V ane
  28. Et sit nn = 2 suvdo + snav + sean + am svao + in sav
  29. sit _v = fiet do- -du et fit L = 2v + dus an
  30. un, htdu n. ntdn
  31. nintan
  32. n + dn = n
  33. n,ntan n nodu n. ntdu
  34. an ntann = a1
  35. un, ntdu
  36. n, ntdr
  37. tan
  38. un nntam
  39. ()t an
  40. n nt du
  41. un nntan n.ntdn n+ d = un
  42. (s rntusu du (- 2nn 2nan (+ n
  43. 129 n= ntdn n. nedu
  44. -= = 59 = 9h ht
  45. 31 = - = 93 34 oti 13
  46. vona
  47. = 6 - 3h9 + 3hg - G3-
  48. generaliter se) i- =
  49. n. ntan
  50. Horpotuisset praevideni
  51. Gtih - 2tg. +99 -
  52. ggtih
  53. Gs3
  54. +2 vandv + dno
  55. + sdu +2 dn sudo ansad
  56. e
  57. e) t sou si g-n et h= ptan sit i arau n. nrcu
  58. (9) 14X = 1+ Qx + e1 ∞ + C. 21. C, 2 ~3, P. B.1. P. 1. 82) X et
  59. 1. 2. 3.4
  60. sit e = fiet fi ( CRe1 = - 2 2 = - 2 C- 3 = - 5 etc
  61. x ae
  62. e= e. e. 1 = = 1.3. C. er1. e Y = + 13. 5 .3 2. 883e = 113. 57
  63. () ix = 1 + 17 X + 13 5 X - 1. 3,. 3.7 X ete circuli et abi pata sobe
  64. 16; 1.2. 3. 4 Cpndent a quadratura crrculi et abt quoium quogea
  65. 4; 12
  66. 8; 1.23
  67. AEt e SX. X = e S-x1 + L X lx ex - x. n. Aneno singula haec ued
  68. Ex= Xx sit diru ter a d abscilla a vertice ex diancetio X. fet in circulo lax-xx
  69. pro ordinata sit ax - XX = Xx gy: aa fit a - xaa = xyy seu a aa +9
  70. 2- 2idque Eaarus Ergo
  71. et dx
  72. et Sax -Xx - 47a. ya:, aa tyy = aay:, aatyy dX = do
  73. Fax. Xx ex = -raa gydyB: Blaaryus
  74. yy:aa. Ergu adx = vydy: aa
  75. F ax - ex = ax X- NX vy Ba axx = xgy a - sdt - AC AT= L
  76. m a x = san - un ax + s a (X H. sax = Sax- Ax
  77. X Vax-xX
  78. a r- x, :y = Y: t XX = ry : t yy = 2rX - XX fi r- = 1rX Axit seu t = 2YX - xX
  79. Xa M: Pa -X = fax -Xx ce :, a - x
  80. Sax - XX ex : xx = - 2yy dy:, aa tgu quae est A, medi proportionalis inter absusse
  81. aa gy ab 200= a av t, vecoco
  82. et adinatam apudicula i t ad hy.
  83. +aav raaud + veoco fit v = 2aab: aa troco et do - aat cocoded d codio
  84. seu dv = 2aa, aa = cocodeo, : aa +coco = 2aado - 2
  85. a -aa VD = a v 3Z fit aa, a - v = a + v, 22 seu a -a = aar +73 at coco a. aa - 13
  86. et do = a t + 77) -a = a2dZ - aaa 2 seu -ce Z d - a7 - a uz a 12 = 20 317
  87. a+ v = a( 7() + aadi, cur = 2a aat hE s - 22 Z 7Z = a a vo du
  88. aater
  89. sed ita locum
  90. an contra surdu
  91. da +25
  92. du voCdusr,)
  93. quao
  94. Son v0 + 2abav+ dudo
  95. Ergo Qvdo= = Esao

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 120r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0239?run=74