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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 109r

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: 0.63.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. isi
  2. 6S _
  3. metra: msta
  4. de83 1t.
  5. v
  6. 1
  7. toi
  8. egunarb
  9. buns trusanaebui
  10. on
  11. dou
  12. s
  13. v YX
  14. 1
  15. 1+ Y + Y
  16. ut
  17. vis
  18. i
  19. x+
  20. 2+2
  21. Lho
  22. ut 2H
  23. da Lti
  24. N v- Rov-
  25. Ao+ A0o+X
  26. ct + ( + X + L)
  27. vo-AX
  28. R
  29. solidum redum posse, vide schedam de dato lut. ts
  30. duci possit ad quasdam sundesolidas pro sovenias. sit aequalio su
  31. fet X + sd X +10 X + 10d x + 5d F X = 45) vel ponendo d f. serte
  32. + 2g. + bd 517 X +5fXExIoSX 10FX 455 TX 4 fS XB
  33. 4
  34. +e
  35. ent
  36. +b.8 +be
  37. +c
  38. + vk tsvflo +10Vf41oB F +5BC X + BS
  39. Nota si huy aeguitionis podact Huminm ottinum tolere vellemus ponerencus fisse merer
  40. +ro tvbs
  41. inde aequatio: x A t. Hinc jum ppi 5f+B.5Bf. ar1 2f 1vf2 et
  42. 2C
  43. u dB
  44. 12 psiI
  45. et vc
  46. 5
  47. d
  48. +vc.
  49. Et
  50. ve A DevC
  51. C2B et erE b2
  52. sine Cdel eir nend
  53. c
  54. a
  55. 9 Unde dinis ae quatae sbi sursob qualiter interrnita, in qua quadratr demini seun
  56. penultimi moditum sundesolido ultimi facit 0, ad solidam reduci postest
  57. Alqui hoc sempor videtur praestam posse ope susolida purae. Nam si sit aequatio v 4 Y 9Y +G0.
  58. s
  59. surbumus ( yi X X f X + =9X + h 5. Jam C+ dp 0. sergo C necessario quantitas
  60. 14.
  61. X + bXt + Cx + dC
  62. 24V+co proy+ 9y2+Y
  63. P.
  64. negativa, for
  65. ergo etsane
  66. L V y + cV + d:
  67. I
  68. 820
  69. a nantie
  70. si
  71. auta t
  72. id utet C. H
  73. b+ s- 1 + b Y.1 semper inveni potest per aaiuli sectionem non h.
  74. l
  75. red
  76. _EBX + Cx dX + d P po
  77. INi mota omnes aequationes intermplas plasimulice e
  78. muntiplicatas fieri plenas. mod
  79. sd qud si sic: Z b+ Y-1 + b - Y-1
  80. d
  81. sed calcubu fit nonis proteu
  82. 25.Df4 + L fabn v 100f = vb 4200b5 =+10oPf+
  83. 4 3
  84. C8
  85. 4
  86. ne d 1K a B
  87. SM. 5+4- b iors u p 5f t B aeC 1
  88. 3+ 20,b P it 45, 100Yf5 do gorsu
  89. c
  90. erit confecudo pe v. aN B YF se
  91. egin
  92. -
  93. i
  94. +3co
  95. y. + 33 + 3c8y +c0 2) ps + 3c0
  96. u
  97. 3 + 2C0Y) +C0 PV4+ 2c0y + qu+ry+ poni
  98. t
  99. co2
  100. H by + 2bcy3 + rbdV + 2cdy + d. Ergo bp, sp. cp 2c0 +F. d 4co- 4 cot - F, 2Yp
  101. 4
  102. 2YP
  103. sive de 49p - 4co- 4cot. F et rCdp a9p 2cor -( 2cocF Y
  104. .uP. Y P.
  105. Sp2
  106. AP
  107. denique d p 16 qu p - 3rco +F + o t Y s+ Co sive 1C0r trIV. fa et cor D - t
  108. 64 p
  109. et ubique inserendo ita stabunt aequationes
  110. inventae duae:
  111. 169 p - 8 v + vY p, 64 sp + 16 v - 32 vt + 16t
  112. et 49p - vB opr. hoc s qp. V4Ar 645 p + 16Y -32 v + + 16+
  113. sive ap r 4vsp + Bt- _t + 1v. sive 4pr 4VSp + 4qpr. 8prV
  114. Aqp opre
  115. 44pr. dp r
  116. =sqpvt + 16p rt + f
  117. et vp + opr Y
  118. at prulo ante v n 4qpB= PY. B Y = AP. et 4g pB. Spr A _D + AV. et v, t 8gp v - vp res
  119. et erit vy Ex r ∞A
  120. 499 - 19- 2 R
  121. Eago
  122. l
  123. A
  124. nor. per h per

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 109r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0217?run=74