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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 204r

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.

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. 203v); this page is its right half.

The machine reads it as

  1. s jum fecissemus non Z co+ V sed _ ct Z, fiet.
  2. 1 50Z + emn Z -ienu vZ - emin qu + m Sit jam aequatio data
  3. erit ve P mne q
  4. 44 15, pq Y Y seu -3pq er
  5. ++ v+
  6. Donamus jam in aequatione data etiam superesse
  7. + 15mnv
  8. _ 7.
  9. 22+Z+S +t
  10. -69 +p S sive p ( 125 + 7
  11. 525) 625125
  12. arbitrarias quandam, facitas explicando, ut si initio ae inaegrita
  13. fusset: Calculi autem contrahendi causa sic agere utile erit
  14. Ultile autem videtur explicare Z et facere ZH PX + f. fiet:
  15. X + 5fX + 10fX 105 2 + 5 fexf
  16. - 5v - 50 4f - 5vbf - 51 4f3
  17. emn. - smn2f
  18. +15 mnn
  19. Facie sit jam aequalu data,
  20. et habebimus:
  21. -5mns f
  22. remnvis
  23. +5mn
  24. - f
  25. sunf..
  26. +ienavs..
  27. +5ninf..
  28. X asqu X rrgX 48 X + pgt X
  29. 5 = b5
  30. =1emnp3
  31. 2I
  32. +stb. tasbus .. 3rbgs. 2969. + pbg
  33. 410tb. +65bg.. 3r69.
  34. rast.. 45b9.
  35. + 10+b3 v. 5t b4
  36. conferendo Terminos terminis, erit ex secundis; vi 5f c0 - 59 - rtb
  37. ex tertis: VH 10f c - rmn c, - r9 - 4sb9- 1otl quos duos valores confecendo
  38. (20) fcoe
  39. erit 1mnt (10 F C - rga - 45b9 - 10+ 1, -(20s co + 4sgto + 20+l. fco
  40. c
  41. Rursus ex terminis quartis Vr 493 + 3rbg2 +65b9 + 45 b4 10t b3- 10fco etemnsco
  42. Quem valorem si rursus aeques valori primo ipsius V, habebis novum valorem ipsius
  43. 15mr = 30f2∞
  44. mn, nemne mn H 4g7 + 3r b9 +65b29 +45b + 10t b, = 10 fc0, +30f - 6f0s9 - 30fl tb
  45. = 30059 - 15c0 +b
  46. aequando duos valores ipsius mn. aliam rursus rabebimus aequationem, sed calculus videtur nimis polixus reddi
  47. hit et Z m bc + d FC H X. BZ+ h. fet
  48. et ZB m er Zt Aemun Z3 ismavZ smo h
  49. Ergu 25 n
  50. irnmv
  51. +Gvahh ahati
  52. poti ti
  53. -Guatisti lL
  54. timnyliti
  55. +smn3 h,
  56. =sR+tZ
  57. 5MZX X.
  58. 1.
  59. -5u6ti 3
  60. =5V4t Zh, 2tZ
  61. 5t X - 1kZ X
  62. a 15 d 5de l - eae
  63. -Avate Z
  64. +svatistit. h
  65. -54sHd
  66. Et olligendo in summam, fieb, goniva
  67. X ex X- Zovh X + 3ot X 2ovhDX m bd
  68. 6t2.
  69. 1imah:
  70. - 15mnv..
  71. + 10h3.. +5V
  72. sit jam aequatio data t.
  73. explicata explicatione minori
  74. Xr 10b 2X3 10b3 X
  75. Apb 6p82..
  76. 398.
  77. in
  78. =Gcanzhah
  79. +ismuvti
  80. =rmnoh Z
  81. Lsmnyti 2
  82. +rmastiat
  83. + 15mox ah Z
  84. Bmnv Z
  85. + 5tich. 23
  86. Hanc aequationem comparemus
  87. cum data sed explicata
  88. ita ut sit ZH = +d. tantum
  89. Ponendelx loco ut alia plaga
  90. ex qualibet c quatiope surdesolida auterendi
  91. termingisi pares, tantum ibi posueramus X
  92. pro Z. et contra: utile autem invenii
  93. calculi contrahendi causa, ut fiat. d 70.
  94. scheda deteram, ubi modum ostenderam
  95. 5mu 73
  96. m u
  97. + 5th2 X
  98. -58 2tk.
  99. 5Vb+p 5h. 5ma,, 1062 4p b. +9, + 20h5b r ohip.- rohst
  100. 3045b, 30t p - 3olish, = 15, 5b10b2-155b abp.- 15, 169, 155b20h56 rot
  101. =155b 20hp + 155b 20h tr -15, 5b6t
  102. 1 10 b3 +6pb + 39b + 7

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 204r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0407?run=74