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Leibniz-Handschriften zur Mathematik LH 35, 6, 19, fol. 5v

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.

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The machine reads it as

  1. res reducta et ad G de = aa dst :, sae d - a
  2. Aed - a d = ad ad aed -5a b L 3, : 26 a d - a d = C d2: Sa d - a d da - 3 a NA dd: a d - a p
  3. seu d sae d- a + = a dd + gatis aa -A2. Ermo lantum opus summari det . MN
  4. Jaa- 2A = sit a = ANaa = aA V - ZA a2 aa = 2a A y d ep. + a 2p p 2) (quia ex est -, cum dd st L
  5. aa- aN 2
  6. ota
  7. 44 24 d d ip = - 2A dd - V dA. datur autem se d+ ex A . Ergo sa d datur ex S4 d
  8. 2a
  9. Sady ex sipda,
  10. Addi Y- Aa SAdA Va datur ex _ (a2 s aa
  11. di 1. Vdi = Et -(2A A d A +a A EA N∞dD,:, A 2 a = - dA + a dd: 1A
  12. Erpo dip = dst = aa dA: AN, D a Fda: aa - NA. Ergo supcosset ut inrenantus (aa d A sda (a dst
  13. ob aeg. a - 1N a 4 = A ib Y fiet ast A d ip = d a d ip - d qp d ip
  14. Ad2,: faa AA
  15. Tsta: Faau Ad = Z a A 2 1 d ip = A d A a Yaq. M - 1
  16. d san- AX
  17. AA Saa-AA A Na faa -X
  18. jam esd = d
  19. saaud = +d a Y ac - 423 - dst saa - 1
  20. ra
  21. Na
  22. l
  23. ex his pendet AA de
  24. sed 3 Adip reducitur aliunde ad d ipdX. seu ad Sa- Na hinc ex se imice dantur scd- at et dd saci
  25. +eY
  26. = e sit X HN 4
  27. Na
  28. d 3s da
  29. is
  30. draad dea - a X = 3AA dst: sae - p
  31. + aa 4 2K ∞ - 92
  32. ne
  33. pa
  34. l, SaN - 2 = 2aa d d1 = 4 a X 1d : fat 1 d raa = 2
  35. aadd
  36. dsa X - a X
  37. aaA Cer = 3a Ad d
  38. sa _- a 3
  39. pa
  40. Nat ca veaaM + est tidet redea
  41. add sit nn = ad fietq et. cst = 22 d e
  42. et d Et 2ndn. pa oa
  43. a ude a- nd et hinc ergo pende
  44. e
  45. unenap
  46. a a
  47. ds saa- ad- C ta. set v-
  48. +a - ad
  49. fac quaeritur sumuu de
  50. ans dx fa
  51. Nat -a N
  52. 3(1a Sat. 0t - letiade
  53. Aex Bcy xy - bb g = bb. x dy = LL- - 1b dx : XX Idy + dx - Y 1x 1b+ + ~: Xx
  54. indu sa-
  55. sa) = n(n fine dd = Epatrva t a d A: (adt - a N = 2 p dp: Ya n - (n6 = 2a d p: sa - p +
  56. neraa
  57. a
  58. aa
  59. a h sa te + K R: Taa m _ = fiet Eh aa + Ier + KK + 2LK = BB
  60. aam et
  61. = BB
  62. +sip dA =
  63. = tih M M +hhaa
  64. that hh + KK + 2hkaa - 2 hK MC,: aa -
  65. ubi si facius hha +K X + 2hk aa = e sir t B = ( Y - hh ma - tk - ia- ua
  66. seu
  67. prc seu haa +K = o
  68. a - e n
  69. a enta = 2 a dp = 5 dem
  70. Na a = e t a = 2n an: a fit dd l aa. M =
  71. a
  72. raC
  73. - nt - 4N der:, a et Cunde si pro inden ponas d ada, et pro mer ponut ad sii = a d1. fa
  74. coedatur
  75. sissit n sen3 dea hot datur fi ergodatur et ( dx aVd = a quod Ergo
  76. um
  77. sit _ nn = aE: 44 +5 hoc vero summabile eo jor patet
  78. lA aa -
  79. at aa = DA = a aa N - 3 = a a - X pp seu A = aa = A a pp Eg. A: aa - = 1to
  80. at et
  81. na = A A = a + X 99 a - x = a + X 49. seu a - a44,:, 1 +49 = a. quod aequamum qto
  82. a x Saa - XX dx = LaaX - L X, sa aa- xX H = s. a - 2au XX + p, dx - + 2X - 2a aX + L. X
  83. _5∞ -3aX 13aX - X, dx = = a - 3 a X + 3 a X - L X
  84. sueculiter (1e1 - XX dx = i X - ex + C. C.t X - C. 21. et X etc
  85. 6;1. 2
  86. 751.2.3
  87. (1et 1- XX dx = + X = C X + C. C. 1 ∞D = e, ent, C. 2 X 13 ete.
  88. 13;112.3
  89. 9; 1i2
  90. Vs, aa -XX = G + X = X K. X = : x - =x etq ad habeatur interpolatio similis Wdallisum
  91. 3
  92. DV1 - X4 = 1 + = X + 1. 3 ∞8 + 1. 3. 5 X ete.
  93. 251
  94. 8; 1. 23
  95. 4i12
  96. + + L X + 1.3 X 13
  97. de la per rectificationem curvae sic efficiemus dc dda ddia dividatur, in duas
  98. S. - X
  99. G. I. 2
  100. partes quarum latera summabitia per ordinariam geometriam seu in dBdB et dvav sic
  101. 253
  102. unt possint invemri (h et, habelitt quae emal coordueatae ad curvam, cuj(+ aBdB+dV
  103. (dn sae. fial a deam -e dussu = a + 2) atB LCXX + f_ m 1n X+ p H
  104. (Ha _V pro v spa - vo fuct v = M + 4 fiet 2 + q sip a -29n - n.
  105. a
  106. 49
  107. si etddantur inum (.Pbre A =B
  108. aabb + 2beM + 2ab5 pp. + 2cf N = ff (n + ggrrap- qu -qurrme
  109. tirpa = irqu-nM
  110. rrgque
  111. + cC
  112. = qqure
  113. et
  114. possumus ponere f et ra s tet sialie 14
  115. seu p = 24Gur - qur - gqr3 + 9qY,: rra
  116. Si rm2 fin p. 144 P = 447 44, 1412,: a s2
  117. b-2qur- rrpa - 4q: rr.
  118. q+ quf rarrq
  119. et p = 29grr- 49r 4- 4quf,: rra
  120. Ergo sH - 1
  121. q
  122. 2af
  123. que. 20

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 19, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068064:0010?run=73