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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 134r

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: 0.79.

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. 135v); this page is its right half.

The machine reads it as

  1. dimensio
  2. Curvae conica redit ad hanc lummandam duo -dx sioxxtec. sit
  3. 26 Xx+ cC
  4. XX = ay. fiet 2Xdx = ady. et dx ady: 2 Lay Ergo ex 1, 2. 4 fi dio- du sony+ce
  5. fit deo dy 20y+cc, ay seu deo= dy s10.20 aarsy +10ccay+ et
  6. 20
  7. (10 au +cC
  8. donayo
  9. ay
  10. 204y +cc.
  11. 20ay+cc,
  12. itaque 3Y Lay +8,: ay aequemus quadrato. Quod ut fiat faciamus
  13. ay= 2 41V + 241. _2V + 42,:, 50v F 50. Si +52. Et explicando ag. 7. per8
  14. sit
  15. 2. 9 V + 490 q 92 V + 6.304142v + 4. 30. 4142V + 30.42
  16. 32.4150 +2. 32. 4150.51 + 32. 41.52
  17. +2, 41. 42. 50 +4, 91. 12. 6 51 +29, 41. 42. 5)
  18. 34.50 r4.34. 58. 51
  19. C
  20. + 32. 42.50 +2.32. 42. 5051 + 37. 43. 51
  21. +6. 34. 50. 5i +4. 3450 s1 + 34. 51
  22. aequ. per compendium
  23. 64V + 651
  24. + 66 VV + 67V + 68
  25. (9
  26. aequ. quadrato generali ejusdem formae
  27. (12
  28. 72V + 2.7273V + 2.72. 74V
  29. + ,3. 73 4 2.73. 74V +74
  30. (1
  31. 3)
  32. comparando secundum aequationem 11. fit 72 = 164 74- 168
  33. 667
  34. 66
  35. 73= 65: 2164= 67: 2168, denique 65. 67: 4 164.68, + 2 164 58
  36. seu 65. 67 +, 8.64.68= 4 164. 68. 66
  37. seu ex 15 6664 = 65. 68 = 67. 64 et ex 16
  38. coscet
  39. 652. 67 + 48426 4. 1465. 67. 68 4 4. 64 68 = 6b 16, 66.6468
  40. 65 67 = 46b 164. 68 - 9. 64. 68. Ergo ex 17 fit
  41. 68 30. 41 +32. 41. 58 + 34. 50, (2 (4.30.91. 42 +2. 32. 41. 42. 52 + 2. 32. 42. 50. 51 + 434. 50. 5
  42. aequ. 30. 42432 42. 55 + 34. 5, + (2(. 4. 30. 41. 42 + 2. 32. 41. 50. 51 + 2. 31. 4. 42. 510 + 4. 34. 50. 51
  43. le aq d 1229i 4∞C
  44. si fumemus 41 20 sieret 34 (507, 4. 32. 42 (50) 51 + 34 (55 (16)32. 34. 45 (50) 51 + 31 60 16)34 (60) 31
  45. aG. 30. 92 16 34. 58,5] + 32. 42. 51. (16) 34.60751 + 34. 51 16) 3460 51
  46. ubi
  47. Cvanesce . 5 nota 50; et sat ope hujus aequationis haberi posset
  48. Coanescerr. aer aegrationem la per Geometriam planam
  49. s
  50. Restat 18 explicanda aequ. (.16) et fic posito 41 esse 0 fiet
  51. un inveniende valore ipsius 50 ero
  52. quantitas 42
  53. (22)
  54. (4.68. 4G 39. 50. 30. Q2 + 34. 50. 3c. 42 51 + 34. 50 34. 5i son compendio 50. g
  55. 34.585, 131. 2
  56. 4. 3415. st 2.924 51
  57. (C)
  58. et 64.68.65. 6) C (ex 22n44) 50 de 82, 87.
  59. e
  60. (24
  61. co 80.87
  62. e
  63. (217)
  64. et 66 = 32. 42546. 34. . 51Sdi se (quntio) 509096
  65. et 64. 68 = 50, 62 (ex 11)
  66. et denique Erga ex eq 18 fit 4. 50. dp. 87 82 Et ex aequ (16) per 22, 23, 29 25. fit
  67. 50. 80. 87 +. 8.50) 82 = 4. 80. 86. 8(82 50. seu 50- 486. 8b116. 95.
  68. Et cresre
  69. si si sit 30 aa gy + 3ray + 34 aeq. Cto sit Et ag = +5 + 2 1 _4ov +2. 4u. 41V + 41. fi et
  70. 2g 40 + 30 2 4041V + 30. 4 30. 40V + 30. 4. 4041V + 30. 6. 40. 41 v + 30. 4. 40. 41 3 41
  71. 132. 4640 + 32. 2. 4041V+ 3241
  72. 4.30. 40. 41. 30. 41 +. 3098. 41 32. 41 + 4. 1p. 48 41 34 4
  73. aequ. 30. 40 35. (6)90. 41, 30 98 1 b4V +, 65V + 6bv
  74. aa uemie ene m mat it ati t tie eri pe tuem tam
  75. +
  76. +34
  77. 67V + (8
  78. = 30 aayy + 32ayY 34

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 134r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0267?run=74