Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 163v

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: 0.70.

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. 164r); this page is its left half.

The machine reads it as

  1. + ag
  2. 280 a3X
  3. +d Pa3 (
  4. ponendo sclicet PN 5
  5. et B 1 Z.
  6. in scheda in fol sib siga D, quae de
  7. et D pn
  8. datae
  9. sed hic jam notandum est, si b. sit determinata, et F, absente pilaet aequationus
  10. cum qua factilia ita comparari debet termino secundo tunc oriri absurdum et
  11. collatitionem scilicet inter duas quantitates cognita Nec remedium ei rei habebitur
  12. si ponas pro d, aliam La tunc enim fateor L determinam in termino quarto,
  13. posita licet F p7o, sed 5 in termino tertio et 2do aliud incommodum inde oriri, quod
  14. si scilicet L per f infinite parvam diviso, caetera cvanescant.
  15. operae pretum ergo est ad ea recurrere quae paus. praecedente margini ascripsi, et
  16. quae figura sta explicui. Erunt enim aquatiopes
  17. Aeg.
  18. datam: +X +b X + ca e S + dy altera ad circulum nempe:
  19. -d X + eX + Ba B Y + Ay. Aeq. Unde per Ateq ad circulum cit s pp 8 + ex + Ba - Hy 03
  20. a voloe in aequatione ad cirnalum substituto, fiet: y 1 + a N + b X + ca
  21. FC - B⊓ M. fier y e VV X + BX + na
  22. eritue y e Y.
  23. et
  24. e.. = Ba
  25. =X + 1BX+ g naX+ B X + 2 BMaX + a
  26. et duvidendo plst 3.
  27. Hos valors agrationi ad circulum inserendo, multiplicandoque omnia per , batque ordmando fieri
  28. li lign
  29. 190
  30. + a6 g
  31. uoet
  32. 11.
  33. + Aa 1.
  34. 9V
  35. +0at. 1.
  36. q
  37. er as
  38. quo4
  39. uaga
  40. +d Ba. +XDMa
  41. 2454
  42. qu
  43. Y.
  44. quga
  45. -Da
  46. 3294
  47. et a
  48. 15+N
  49. +G..
  50. + X95 Ad9pa
  51. e92 .
  52. =Daq
  53. Ransusque pro 8A ponendo da pro pounde 0Va pro eG, puatnto W a, peu DaG pmento va
  54. agam
  55. fiet : X + 25 X3 + 2 X + 2F H aX + epa
  56. +da
  57. +2 C
  58. 1) d
  59. +dar
  60. +da .. - va
  61. conferatur cum X AX tamX = anX ap. fier fet: a penendo .
  62. +654
  63. et Vp - p.
  64. D elidetur V D, et fet aequad
  65. + 2VX +2ZV a X +W’a
  66. + EV
  67. + E
  68. G
  69. Calculus qui hanc eyuntionem 2 pproduxit reperietur. datam. Aequatio ad sectionem comcam datam est: +a X + (1_) X, + ca Y + dV.
  70. Ca3
  71. constructionibus istis fuse nisi quod ( pob, et deuo
  72. d- A appellenus (2) + a +1, rI (8), +b- er β.
  73. quoa
  74. 57 =
  75. a.
  76. explicun. tmmos omnes da B 94, et p a f Set 1 d - l, fiet da p dd d
  77. eodem modo a ne(seu or svalent dq ad d + d a ad senique ca e
  78. fiet conferendo cum N +lX am X + an X + ap 5, e se
  79. conferendo cum N + IX +am N + aen X + a7 0 fiet:
  80. et ponendo (n 10. ficipatum. 3; M a + etta
  81. vollnde patet magnam nobis esse, libertatem explicandi, ponendo enim a 1, cognita erit C.
  82. et quae supersunt incognitae duae d et Z utique drabus etiam aequationibus facile definien,
  83. a. Une pabed 3 porise omit, eiu inst, calalim assumens.
  84. fet da. N a 3 am - L- d add- Na coque valore in ejus in locum in remino quarto substitto.
  85. fier. e es. an (- anl 19 +
  86. du- 2d A + N ae
  87. γ194
  88. fier per team 3. A04 n an = , vel quia B B d + 3, fier: dd t pam- to d ad
  89. udt ad a51)
  90. 175
  91. et l + da +62 a B aem, sive da pus atu - l aa
  92. ergo +a N - a ns amt- 13- val, vel p an ranl- 13 l a
  93. (3e L. per Term. 2.
  94. Futa
  95. 64
  96. rat
  97. X rat A
  98. posita jam
  99. a3(
  100. + 254
  101. 2N
  102. dnam
  103. e
  104. an ari d

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 163v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0328?run=74