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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 224r

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: 0.77.

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. 223v); this page is its right half.

The machine reads it as

  1. Ninc vert redeamus ubi prius simplicioser tentamento isi fuerimus:
  2. fiet n tah p at (2 tahg e2
  3. et
  4. fint X
  5. +9 gre
  6. a
  7. sine)X
  8. +(9) ah 98Y a lC ahg e)
  9. Ergo at (= dahger
  10. 99’e2
  11. X
  12. = ah X - a l
  13. Xa t (xah9 e) -(9 hX g e = 99e a l. Sod nde fruct, nihul
  14. rectius ergo aequationem:
  15. et fiei.
  16. X Y. X∞ 4 Y - 3d0 resumemus et comparabimus datae: X ali Xa l
  17. + 3d ca
  18. (vel X B X d - de
  19. ed
  20. +e2.
  21. + d2.
  22. comprando fer: (d +C B sed eha. vel d ede ah. et - 3d C + 3de - a l.
  23. fiet C -ah - d ed - ae l + 3d e. adeoque - 3 a t - 3+3 (hed), - à l 4
  24. et ep - 3 a hd - 2d3 + a et Cp gatid+ 18 atdt - 6 ae 1d, 19d - 6d a l+ a 1
  25. 6 dt2
  26. 36 dY
  27. Unde innserendo in dr ed +C p - ah. tiet: 364 + bed et et tollendo e. veniemus ut ante
  28. 3C d ( 18 at d 18 d + 6a ld + 9ae h 18 ah d3)
  29. 36d Y - 1Gah d - 18 at d + t.td d - tah - 3d + a l ( e).
  30. sive 36d4 - 3t an d= 108 d4 + 36a l d + ga h
  31. 36d2
  32. d+ ed 2 + ed p - ahd. sive. d= 3ahd - 3d2 + à l + ed , -ahd
  33. hoi 36 d (- 18 ah d) = 18d + 6ae ld + 9a he d 18ahd) - shald +946 -6dae l +a (
  34. P 36 ah d+ seo nihil hinc usus.
  35. Et iam int supes est quod tentem.
  36. +2AP)X + alpe +S X tam X + raps X + ael X +a p
  37. + a2
  38. +ah. +amh. +aml.
  39. sit quantitas Ssta X + (4fX fgX ar X aqX + a r.. Unde quadrando:
  40. X4 125frataq X + 25 a aer X2
  41. + a q.. feagar + at
  42. et conferendo m Ss t 4 ex terminis X. at exteminis X fict: p a q 2S. ar -ah
  43. a ex terminis Xfiet: a l + 29h F.. 4 22 qra hui (a
  44. et ultimis
  45. A.) a+
  46. (22
  47. 2a5.
  48. ai
  49. haerLaII Era-2h Su
  50. aq+ 4 a qutnuaer -2 ahs (+45 d 4 a a2) = arah + a h +al s g
  51. s
  52. a1 + 4 aelh ... 4 + ate 5qt 4 h a qu
  53. 4q s
  54. seu ar ael ah suiqu
  55. euco
  56. Unde a l +ae th sinq tatessq 14h qu a4 + 4 aqu l + 4 aquhist, - 244 4h + at + 2a l f. 9pa 1
  57. Xquvsh
  58. quod si explicare velimus S. ut inde quea exhahiradix, ert ex s’+a. ponemus v a
  59. scmta aequa
  60. -2 ah a l
  61. qumah
  62. et fiet Sii n 1+ (a) B 2 +a et f v - a + a + a. unde:
  63. top inde 1S +a p 2v + q et Se p) 1624 8r + at
  64. GV
  65. et
  66. m. p. g. r.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 224r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0447?run=74