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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 76r

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: 0.75.

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. 75v); this page is its right half.

The machine reads it as

  1. y
  2. Ydz + Z ay
  3. dv ay + ddy
  4. ddst y) - ydat + 2 dt dys + l day
  5. Ws + ldg. ly + cohddus = WWK
  6. W = dZ. f = Z. g + dv: 9 = v. h
  7. + av: 3 = 41 + t d +y t5 _- + 1
  8. tus
  9. v.h
  10. ydz + Zdy
  11. audy + vddu
  12. Idat + 2dt du + t ddus
  13. a2
  14. W0fy + cogius + Wohddus = WVk dn ax
  15. W0 = d2+ dat - 2+ do + 2dt = v + F
  16. sumamus g pro constante
  17. dZ + ddv + 2 ddt de + dt - (0 + t) dh
  18. ddt = sn - ft - dzu =
  19. k
  20. ax + dt (∞+ t) db - lz - d dv
  21. h. 9 2 hh: 9
  22. ito bis habemus dt per t, atque adeo habemus t
  23. per dv. v, Z, dZ, quem valorem diffecentiando
  24. habemus dt per ddi, v, Z, dZe taque sed inolriemus
  25. At aohuc sencel per ddv, ddz. B, a0, Z dC 1
  26. ila tandem habebitur aequatio inter haec, ubi faciendo
  27. sic expl. cari possest B per Z, ut tollantur
  28. ado, adZue ita fiet vunderli quatio in qua jolum sint
  29. Z et dz.
  30. ac methodo cum
  31. pulla quae sitam in se invicem ducatur,
  32. utiliter pervenietur ad summationem
  33. y dZ + Zdy
  34. du dy + v ddy
  35. W = dZ+ st, a: f - 7+ dv + 2de, a: g = v +t, a: h
  36. sumanus 9 pro constante erit +Z + ddv + 2ddt, a: g = av + aC, a :h - 2Bt, ath tit
  37. et erit ddt = ve t f - idqu - sidv. + hdt = vdh - t dh) (9. h h) ( L dq - d du
  38. unde fiet dt = 2hf (v + L) - hhdZ + (vdh + tdh - hdv) g + ttdav, : hg = (B + L)g (2 + dv) h.
  39. Wok = Wofys + regdy trotiatus Unde 2hfv + 2hft - hhidZ. + vgdh + tgds Chg dv + hhddo = = 99v + : 9gt 2 d (23
  40. y ddt +2 dedu +F ddy Y
  41. p = (et 0 = (H. h = 21 2t.,. 9- 12. 1) et fiet + = + 4 s siv + ghiZ + 2g dL B - 2hhdZ - h gsv + 2 lihdd, :, g9- 4 fh- 2gdh
  42. camsleit
  43. per compettidiun, gg - 2gdh - 4 fh voceturam, fiet
  44. t
  45. -
  46. =amo + ghZ - 2tih dz- Gh dv + 2hh adv,: am
  47. + 29 dh V
  48. 20 v. 1. 5 - sB rrdE, g = vi t ; h
  49. et dt amam v, + gdhZ - amdo + h dZ - 2tinataque - ihu dv + 2 ltus dev
  50. +ab.h ddo
  51. toalil2
  52. Famam v - 9ham Z +. 2 tubdond. + ghat uti
  53. explicando tfit,
  54. +ghaman 2hhiamaq
  55. =2tihidm ddv
  56. Ji avim
  57. am du
  58. 10Z + Ud2 + 12 dd Z + 21 dv + 22 ddv + 2343 =0 ubi 10, _11, 12, 21, 22, 23 compendio exhibent cognitas quantilates
  59. Et quos duos ipsius dt valores aequando reducetur, res ad aequationem hujusmodi
  60. Esto dv 47 + 4 d2, fiet
  61. Esto q = do C 9die + 2 ddv, et fiel 10 dv + 1aq. ddv
  62. + 10Z + indZ 1 12 a dd 2 Et feer d - 921 d2
  63. Esto du = daZ+ dZ
  64. 2i9Z + 2 +Z Esto fiet uaZ + 11 a dZ + 12 a ddZ
  65. id dzais = ave a d + adz3: 9 = avih
  66. 1Z - a fv. k, fet dv+ fi = dZ
  67. d2 + Z dy
  68. +do ly +v atyz 1
  69. ofy +189dys trohadys
  70. d(coh
  71. 1 uti ctabus
  72. pet a =
  73. 219Z + 2) d2
  74. +228 d2
  75. + rrep d3
  76. + 234 ddz
  77. a + dat = 3v + t. AZ = 2 2,. 1 + 2d1
  78. du+ at- v 2 ao ed
  79. tolletur F, sed habebitur et quatio
  80. in qua v, dit, ddv, d3v, Z, dz, de
  81. Hinc ha betur + smedt, per V, do, dav
  82. Z. du quo differentiato
  83. v rach. ( Z + dt = 9
  84. 8d9y+ qdys 2rlu
  85. drdus re
  86. siat vot. MY, siet yd + Zly
  87. ydat + drdus Frday
  88. at dy
  89. rot - r suys rae glus rrotillus
  90. ita revera tre
  91. ciem litere
  92. B. reucta sunt
  93. cat
  94. +23dd9 7 + 2. 23 d9 d2
  95. +23 eque FEcharalez + 23 _ dZ
  96. 5
  97. et Z -
  98. i de
  99. 1e
  100. = 5d
  101. 1 2 12 -
  102. - do
  103. et dq = d
  104. W= aZ. f = a7 quagnag 1
  105. Z= - dv et a =
  106. ta
  107. 1
  108. S: esset d = b fieret
  109. dat Ao - ro = 12.5 = 8 a a8. 9 = ag. h sid ho aequiturs non stemst
  110. +8 ay + gadus 4aY
  111. _ Zy +Zd
  112. rsu ue gdus + cohaditus + lok
  113. v -dv
  114. W0 su. regius it rohidus + toK
  115. unde fit 54(4. h) + +1 =)
  116. sed c
  117. mescire et reditur ad
  118. 4
  119. 2dg +. 4

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 76r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0151?run=74