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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 276r

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. 275v); this page is its right half.

The machine reads it as

  1. pone fB9. et h⊓ t. et si 910. tunc componendo columnas 1. et 2. fiet
  2. per ststractionem fier. 4f + sex 45 m + pf em + P +r hl + 3pf Ih +
  3. + 3rh mf. B
  4. tortemf bc
  5. Et residua aequario erit:
  6. 12f3Ibc 412shem be tspf mbc + 3rh3 L bc, +9ps Ihb
  7. + 4(2f + asnh + p3 3pl fm t pBh
  8. hrueht rris 1I
  9. quae posterior aequatio destructis destmendis eleganti quadam ratione respondet priori
  10. eritque: If⊓ - + stm - pns f - rhihl - 3rh mf- 4su h - p V Ih - rnemf- 3rm hl
  11. 4 f + 3pfh
  12. H - 4sh. pf Brhf
  13. 45 + rhi + 3pfh
  14. I 4(2 + 3pIm
  15. componantur duae aequationes C et D. subtrahendo; et faciamus, m h.
  16. habebi mu:
  17. +fl +ph +3psti IVH quae aequatio dividi potest
  18. +fl +1 ph plifl eio
  19. sive ph fen1B + aflF
  20. +2phfl - 2 rti 3
  21. e
  22. ( = h3
  23. + fl
  24. 2h0 S
  25. per fel et fiet:
  26. et fiet sabt a est sit As C
  27. t
  28. 45. 1 pur bi tuc p a setrp rtes
  29. h
  30. Si jam duas aequationes componas addendo, fiet:
  31. 4f1), + 85ht + et ) S 4 paf 15
  32. sive frt BI + ast sut (2 + alid sel + 8sh
  33. 85. I. 3H
  34. adeoque phef et 1 + + fl fE - 4 3 set - 35h + 3f 2 - 2ph fl + 2r h3
  35. C + 1
  36. et fiet f+ l p 8fI - 8sht
  37. Crh. 2phifl Et rusus f. d. F), + ast fil + as 1
  38. 247 1
  39. ap t est + arti
  40. tite
  41. xin qua posteriore aequatione, ut utrobique possit extrahi radix, excitabimus radicem, ab:
  42. a
  43. a
  44. sive Or B p quod efficere non est in nostra potestate.
  45. faciemus: (4 f 1) - 2fl + 2rh
  46. An ergo aliteo rectius
  47. +4 fle + et, eritq
  48. Sl 1nh - e, 1 .+ . avnge e f+t (+ 2 f1) p C + (2A
  49. Examinandum ram superest, an in valore ipsius F+l. paulo ante incento: SP. sht
  50. depresio quaedam inveniri possit. Sed video ipsam h. non posse servire grli - sl.
  51. 2t2
  52. +f 1 + peh 2fl, et p e p 3rh C + + sht + P
  53. vid endum ergo an explicando ipsam h effici possit, ut pet + asti + 3rhe, sit quadratur;
  54. x F
  55. seo hic rursus vider h fieri inutilem, nam 242 2 15 rebet esse p 2r Quod luisus in
  56. iste in reno intime penetravent
  57. cuum calculus
  58. F a se +a: jam signa ipsium f. C. variant: S _ sit . et e + fer: + se r a
  59. si jam- fe + a
  60. +fe -a, erit
  61. X tium valorum posriatium
  62. 19.
  63. f sit = et e = fiet: + fe + a
  64. f sit et C = fiet : - fe + a
  65. f sit = et e+ fiet- fe + a
  66. + e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 276r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0551?run=74