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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 217v

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: 0.86.

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The machine reads it as

  1. DCqu. y. DE aequ. d. AE aqu e. 2
  2. X
  3. Ex natura generali sectionis sonicae 2aX
  4. Porro si DC vel De est minima erit
  5. rgo ex natura sectionis conicae
  6. X aequ
  7. PB aequ a 4 ax etiam
  8. qu
  9. jam
  10. CYIqu.
  11. est quantitas affirmatira
  12. etar ve
  13. esectio est it
  14. t
  15. calus
  16. si aub nsin
  17. su
  18. obpen
  19. abolu. s negativa illipsus
  21. infonita
  22. Si solla
  23. nctum
  24. 29 Maji 1678.
  25. as
  26. caste
  27. (170 (4) valet +. ent
  28. Ii Ex puncto dato minimam (2).....
  29. ducere ad Conicam datam.
  30. problema inter difficillima habitum
  31. (3)
  32. nunc tandem felicissince solutum. (4)
  33. na
  34. Schreda d
  35. let
  36. Poterimus duobus signis complecti ista quatuor, si illa duo sint qua ex
  37. qualuor signis composita, ut (+) aqu. F. et (4) qu. F a(4) aqu. F. es( e. +
  38. vel pbi brevius exprimendo + per 1. er - per 2. fiet 112
  39. irguex aequ. 3 fier: atx te Ego 1d +
  40. 121
  41. 11i 2I
  42. Ubi primus nuneus sempeu exprimit primum casum secundus secundum, et ita
  43. +.
  44. quu
  45. porro. fit Ergo BE aequ. 1122X + 121C.
  46. (9)
  47. ED aequ. PB+ 11R PB +IIZIBE
  48. EP. aequ. 1112 a + 1112QX 1112X + 1221e
  49. (11)
  50. Unde quia DE. aequ. DF. Hinc frec
  51. E
  52. CF aqu. EB
  53. DF aequ. 1121d + 2211y.
  54. seu
  55. (12) mod t2u
  56. qu.
  57. NI22X + 1211C
  58. (1122 dX) + 1211 de aequ. 1122 ad + 2212ay + 1122 ad x + 2212 a xy
  59. Et multiplicando per crucem,:
  60. .-
  61. Et ordinando:
  62. (+ 1122dX) + 221 yX + 1211 de + ∞ 2121 ey.
  63. 221207 yX +221a y + 1122 adX + nuad aequ. 0. 7
  64. bax - bs
  65. Componetur inde aequatio 16
  66. lineam rectam, sit illa:
  67. fier
  68. +21de
  69. AlyX +15y
  70. +hX +tf..
  71. + 2ba X
  72. + Y
  73. 2121 C
  74. (15
  75. aque
  76. quam tentemus comparare cum aequatione ad
  77. ex + fy + g aequ.0 quae ducatur in hx+ ly + m.
  78. hx + ly + m
  79. +nx tufus nu aequ. 0
  80. thg.
  81. Hlg.
  82. Quam comparando cum aequ. 1G. fier. h aequ ba
  83. quam compara binhus cum aequ. 16. ubi prius eam compendii causa scripserimus hoc
  84. modo: ba X - by + n yX + py + X + Y aequ. 0
  85. (22
  86. (2
  87. (21
  88. + 2ba
  89. er X.) c
  90. et per aequ. 22. 23. fiet nof- ba fr aeqd. - bbu adeoque b aequ. no f. epetusla
  91. af29 Ergo l aequ. nq
  92. Comparendo fier. 2aequ:
  93. per X) m aqu. H + Z n9s - hg. et (per yA just 26. 27) af + 21gf + n9g
  94. Unde fit 9 aequ. Pg = pa p. - aq f) + _f - 2ng f af- q q- af
  95. f- 9
  96. (29
  97. 1
  98. junet aequ. 25
  99. agu p.
  100. denique per ultimum terminum mus aequ. r. se ubi valorem n. ducendo in valorem
  101. 30
  102. 9. assurgitur nimis alte ad quintum sclicet gradum. Quare utileerit
  103. verte
  104. prius ipsam sectionem sonicam instriuere arbitrarus Nimurum
  105. (4) valet F et (4 qpatet -
  106. (16)
  107. equi 0

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 217v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0434?run=74