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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 168r

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: 0.74.

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. 167v); this page is its right half.

The machine reads it as

  1. -y Blela pi Sray +a + raty + ti
  2. 0192 100y3. 6 29∞y 7 P
  3. ta
  4. Ita habetur prunum valor ipsius ge absolute.
  5. Da..
  6. 4ga 2ga - qu al
  7. rota
  8. jam conflrendo dios vutores ipsius , fiet: ex Cermino tertio ed quinto;
  9. fiet 29a 2ap O ih p aba 4g. al + a 5D (he sb2 a
  10. 4
  11. abax iba p ratia - 2a + ba - ra iba + a
  12. 2aq
  13. exaxes
  14. In sectione conica sit cujus vertex A. abscissa AX
  15. sit ordinata YX, angulum ad axem faciens datum
  16. XYB, vel ita scilitet ut ratio rectarum. XB, et
  17. BY Ritidata E. Datur recta AX F. datur
  18. saso Ergo VBr 4 Ergo YBe X bg, ut cadeligo
  19. Frax (+) 2ab + ax + (D) a abx + a b p bq
  20. YBF a AX p aX B +
  21. D Data ZB, quae est 2aZ+Z
  22. XB, quae ent
  23. +19
  24. X B b. Ergo ABe (. Jam
  25. XB
  26. c
  27. posito AB1Z datur et
  28. 15 2aZ 147 et YX eut paz + 2q + aia2+ ca
  29. Hoc jai ind solationem problematum transferamus: ad Erculum separatim appliemus
  30. + 1
  31. Lray cuns applicata esto 2by -y + l ⊓ YB
  32. ergo datur et XB s, E Seby -y 1a et VX cud g
  33. y
  34. 2by
  35. NX erit S 2bys -y + Ca + 2ab3 . e
  36. Jam faciemus: sabus
  37. B
  38. quadrando Rordinando fret: ut yV 2b V + la
  39. Pone ca pu c
  40. L43
  41. qu
  42. =5
  43. VNoZ A
  44. aib + cala Eis L be a. si D50.
  45. 2a
  46. -qu
  47. 2ac8
  48. sed incommodum vetus redit quod
  49. scilicet raeter quod
  50. duo valores puri ejusdem incignike
  51. habentur,
  52. Ci malo ut quaeratur renedum omipo trnsferatur in platus B, C in B pro y, ponatur y ati
  53. 9. 1S.25 1ag+ qga, fietque pradiamdeo + ordiu ando
  54. tea y.
  55. 1, .. 911 - 24
  56. q2
  57. G12 + hS
  58. =gr
  59. 7 2gB Et quadiando:
  60. ∞yt 1ODY 102y ed Y .
  61. Hnc sequitur ante ombia bp- h. (sublato ido temmino aequalionis sensi 0 0)
  62. sed sed hinc etiam eo non sublato alia absunditas, nimorum valor ipsius
  63. opobis explicatus per h. in termino 2do, e in termino ato
  64. 3)a -Eig
  65. 692 (ybt
  66. ejus ndcu seu () A quaeritur valor rectae YX ex recta AN AL
  67. ponatur AV, rI V. Ergo p e, et LB et A6 Sy- .
  68. XE,. SiNEa + a AE et A ED B EXE, A AD. AE. Ergo
  69. AD- AE ⊓
  70. Ari ar
  71. f. 47 (Ex AD ddtur X Du sa
  72. 12) Cntet subtrncta YD ExD C
  73. XLH DY +q
  74. t
  75. XY ( VF XE-FE
  76. A
  77. ec 18 a cr a q. V ysi
  78. igo d y+
  79. Eror est qua e ve uon ul AB, sid AE, invula sipl. X..
  80. a 6y = 7
  81. ag +
  82. 2a V
  83. diba
  84. XB
  85. esta
  86. 2n
  87. 2414
  88. AAX7 +2
  89. fietqe, 2by + 10n - y = h + 2tius
  90. 13
  91. 1203

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 168r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0335?run=74