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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 296v

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: 0.73.

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. 297r); this page is its left half.

The machine reads it as

  1. oelie oiretu eucris a se
  2. LaK FX
  3. +qu
  4. (14) 2fX
  5. +X + x F(+)+
  6. +X + 4aX (+) (14) af 7
  7. + 4aX .. . . . . . 8afX
  8. A( (+) aas
  9. (+) (14) af
  10. g+
  11. utrac
  12. oris
  13. ega ra- F. A 195
  14. N. po fponatur 9. fa +9 a4 ( B9
  15. votra 9at ga
  16. + F q
  17. s seu aetsa +
  18. itt
  19. sc a 4=
  20. a +ega + gal. 8
  21. +C
  22. +2at
  23. + 4fX (DFtF
  24. Ordinataque aquatione, nier:
  25. (+4a a.
  26. Ytra
  27. Hat
  28. Frac
  29. (1) +4 as
  30. N +4 ea l.
  31. Unde:D
  32. = Z+) 27+k
  34. (33 )h.
  35. get v7.
  36. .18 DC.dC AEse sreph 1t papti Caps
  37. fit6
  38. tentandum a trevror sit via, si X etiminetur, V. retineatur,
  39. est enim e+ (a
  40. X = Z4) h.
  41. sqs
  42. Lpre X pruomo =. 743C et (7(i7, oli Z. C Z ati
  43. Dh+ h
  44. (is proftrae g.g
  45. +tea fied trac.
  46. (B) no L2
  47. = a H- a)
  48. qui
  49. i.c
  50. Th 13ch Crh
  51. () 25h +sh2
  52. ( +) 25 - X y (+) (+ +) hye = e sed ipsa equatum) hujus forma
  53. satis ostendit remo eodem odir
  54. aca
  55. v 3
  56. pernis X =t erit X = L
  57. eut X - Z ad et
  58. X. Ha
  59. et X = 174 tit Divident sam omnes aequatio tis tmipi decuso primo per a + 2a + 1
  60. N. p Ponatur jam X = Z=
  61. ganque aequatio pro pinima seu perpendicalari sid sectionum Conicam ducendam cujus radix y. huc transc
  62. ai
  63. ptad antelliu calur, et ponatur e =Z. Jamque cum duae habeantur aequationes jusoenifonne cigdem.
  64. Rardcs (ternimi Nspondents Sigillatui sili aequabuntir. Et primum et aequetur teriaus secudus secundo, fiet:
  65. 6a
  66. +4a + 2a + (+) (1+) aad (+) (1 +) 4g 2F 7 + (+ +9 + a (1 +) 9, 2d
  67. 1F
  68. fa + 29 +
  69. +a + +a (= 1+) 449 + (+ 1f) 4ag, + 8a + saq f (+ + +) 8a g(=, +) 8gaq
  70. factaque multiplicatione per crucemerit,
  71. + 4aq + 4a9 ( + f) 4a9q + (+ 1 7) 499 +) + 2adh (1 +) 2d9h
  72. Ergo
  73. 9-
  74. 4X +12a + 1249 + a a9 + (+ +) 2adh (+ =)) 2d9h2
  75. ++) 4a f(+ + f 134 (+ + F) 12a9 + (+ + +) 4a9
  76. eosque aliis erroribus cumulemus,
  77. Sed antequam ultra progrediamur ne in errores calculi incidamus,
  78. operae pretium est idem in circulo et parabola certoque quodam puncti dati situ experiri. Equidem
  79. possem semel in universum signa () et (+ F) pro arbitrio determinare, et punctum E. in fius N
  80. certo quodam loco reponerequ sed utitius est, ejus locum arbitrio relinguere construentis potest enim
  81. contingere, ut electo constructionem reddat breviorem. Unde rursus usque apparet ingens signorum
  82. ambigaorum: probationis tamen instituendae causa () valeat et (F L) etiam + Iem
  83. ((+ +) significet et (+ +) +. Denique in Circulo a = q, et F est - in parabola
  84. verte reti, fib C
  85. q iifinite longa Ct est +.
  86. + 2f X +2 X - 2CX
  87. pet. E. 3. X.
  88. +X
  89. 1af X tac R. hae X
  90. + Bea X + 4ca X
  91. +f tise
  92. t +C
  93. ) A+)at
  94. ...... 45
  95. (4).... afc
  96. + 4a
  97. + 4ac6
  98. = 4ac
  99. +Ba e
  100. ae

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 296v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0592?run=74