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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 266v

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: 0.76.

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. 265r); this page is its left half.

The machine reads it as

  1. X + cX = a d 1
  2. X + e X - a f A
  3. 4 + c X - ad X
  4. +C .. + ec .. = ead X
  5. =af - afc, + a dt
  6. X + m X-cohX + c l. + Co lm
  7. mcoh.
  8. mp e+ c. ad at - coh - ec p, corlm
  9. f
  10. unde af 2 = cohaf = a’ ecf H con1_ + c3 lc
  11. eritque e e 135 ao hras coC
  12. cot + acf
  13. ergo superest ultima aequatio:
  14. per quam= eaque - afc 7 co l - ecot - ccorh.
  15. coile corte
  16. sive - colc - C a sco l - etih
  17. eaf ccoth
  18. c)
  19. eutque cp ecol s ecot a p iohaf- a le
  20. ecot +af afhar con + aet
  21. ubi poando fp bid aequatio qua quae rerentur fieret plana
  22. et ipsa C. adhuc maneret arbitioria si ponamus e p, 0.
  23. fiei . f cor l
  24. af
  25. asr cohat
  26. conl
  27. Unde cob 2 + ca haf Co - af
  28. sonamus fCd p _8 sin fp 52
  29. ce
  30. et fiet Faciam aes hae sin
  31. fiet: c si faciamus
  32. = a F c lY ) a f aftic
  33. Favendo F riaF, fet: FCL a FY ∞Thco,
  34. quae aequatio conicuit datae.
  35. FWH 8. Eg c17 8 + ha 8
  36. co6 r 8 +h 8 cr
  37. aequatio aX - cotX + cot
  38. sit cdX B a. fict: Xp, d a.
  39. et fiet: Wa oh a W -ahco 4
  40. et at = ah + co l B. sit c 8 a
  41. tiei d ag3 = ah f a 1 + a31
  42. et e
  43. X + p bX + b s + rX + SX + t4 + P
  44. radix partis posterioris.
  45. PX= +CX + (Y + V
  46. + b..
  47. cujus quadratum p X +2pX + 2p Sue X
  48. erit c+ Y
  49. +c2 tacsX+ r
  50. + b. et C r + 2rb +
  51. r + 2rb + b + Ep sv. V A ais
  52. sive beF p v b + arb2 + 6b, tarb r
  53. +Ais, r + 2b + b
  54. superest ad huc una aequatio:
  55. r+ 2br + b C p + b 1 sep +
  56. a() r+ b p, P t
  57. 1
  58. 1 vl
  59. et faciendo Y + Lep d, fiet
  60. et
  61. +4 ps
  62. 64p v +dB
  63. 16 25
  64. e qp d -RBS + 8es +
  65. veto
  66. site de - +s2 d + _st d - +7
  67. Sp 16
  68. Porest ergo d. haberi pro inventa,
  69. Porio b 1 2Y d- v
  70. et r +4Sd- vr + 4d- 4r, d e, p +2
  71. aut si mavis. P F- r + av- ad n 2r sd- V
  72. sive:
  73. P-
  74. 2p ts, 1pt av - 3p 1, +r- rgr 18r d.
  75. + 16V - 32 nd + 1b d 16r d - 16r
  76. vel compudi causa faciendo r + 4V + h,
  77. pet: p F - P 2pt 21 - 8Yt . + ti - ohd + d p r d. guV
  78. ecste dutendo: et rediucendo d uscendet ad gradum quantum
  79. sed non est,Redo im ngtm polsctate atramque equadimem
  80. simulo implere

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 266v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0532?run=74