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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 167r

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: 0.72.

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. 168v); this page is its right half.

The machine reads it as

  1. CX N X, YX s. LA AB, CZ
  2. Notabilis haec solutio, ob
  3. CB5 ABY
  4. por
  5. DY FIAB+ rCE
  6. X R et
  7. V Xa.
  8. item 2X 27
  9. VE
  10. X
  11. FX ASyY
  12. es. 25 2
  13. 2sA
  14. ex
  15. ubi minime didebatur
  16. sum im Methodi de
  17. maximis et Minimis, necessarum
  18. VNDXa, Y SXE = XE
  19. ap
  20. A
  21. sve XSyY
  22. XC. 1Z
  23. X+ XC
  24. X x.
  25. X5ESZ
  26. 22
  27. D
  28. e 50
  29. 7
  30. seu
  31. sZr ZY + + XEr
  32. Ser B 2+ X+ rtC
  33. s unde XE 2 + + XC F Z+X+ X
  34. e
  35. er
  36. unde tanden XC p 47X
  37. - ∞6 Y yX + XY + XEF
  38. Attera aequalio est: XC + AE Xa, inde XE
  39. lide XE FL
  40. Ergo 1ZX H X a
  41. sive 47 + Y, a. sive Z ( a - Y
  42. In parabola distantiam
  43. 2
  44. q
  45. a vertice in axe sumtam,
  46. Thcorcma est memorabile, abscissum Riametri aequari secundariae primaritu aequari, quarta
  47. parti excessus latu rectius praris superes latus rectum sisecundarm Unde
  48. consequitur seuper latus rectum primarium secundario quolibet mus
  49. esse
  50. lentandus est calculus generalis, pro omnibus sectionibus conicis. Ac primum consta generaliter
  51. in omni sectione Conica, quis sit valor ipsius LB, vel etiam ipsius BH si ponatur CH perperi
  52. dicularis ad curvam in C. Nam ostensum saepius si CB5 2 24 (∞Y)S 44
  53. esse BH A s si CB(d 2bZ + b ∞ esse BH p, b + b 7.
  54. r1
  55. sive
  56. Eodem modo in omni sectione conica CX ⊓ LBH
  57. v
  58. posita C. X erit FX, x +b ZX
  59. unds fiet: posites X EAC 1 2b2 qt
  60. 6r e + 2b17C+
  61. F
  62. B)
  63. VE A bXC +b Z XE
  64. u
  65. forro YE + EB, 1 e AB(), C+ (2)+X
  66. Ad
  67. b4
  68. 5n02
  69. A+gt +bg0 + 2be 4. 2l. ge p 2b2+ 2bX + 2be 4 12 f2bysa tit BX,
  70. 32+ ac demius im Chiplicat omnibus per 267 + 6Ze, et destunctis utrinque: . . . . (F 2bxC +be
  71. jam YE + XC fet lod Etx a 2X + 22=+ X, 2Z + Z (quod in Parabuladaret e B +X
  72. ponatur jam
  73. in et ZX Prax FaBx ponatur. Ergo. b + 2bt2 + C
  74. 1242
  75. i f a 2 .
  76. a
  77. Ders
  78. acqu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 167r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0333?run=74