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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 341v

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: 0.84.

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. 340r); this page is its left half.

The machine reads it as

  1. quid si sic sint X x+ ab et Xx + ac aqu. quadralis
  2. x t h 1+ .V 3 = 21+ 20v 8 = 3 lroB
  3. n - (G2. + 148 184 et
  4. XX+ ab = 00 et A O = 1. 40v + 41 + 501h6.
  5. +. 201, 190 = rego d
  6. 20 = 40.50
  7. 21 41.50
  8. + 2. 40. S0
  9. 2. 41. 50.
  10. 20: 21 = 40:41
  11. 0.20 = 50, 10. 30 + 48 ergo 1970. 40.50 - 50.10. 30+40
  12. hinc habetur. 40:50
  13. 15291. 50 = 31. 41. 50 + ba =. 11.31. 50 + 4,
  14. hunc habetur 4+. 50
  15. chabetur 41
  16. 10+30. 41.50 4 11 +31. 40. 50 = 10. 31. 50 + 1. 30. 58 + 2. 40. 41. hmih 4V
  17. 41 = c0. 3F . H35.50 = b, 11451 4850, CH8 1, 50. 10+50 L2. 40
  18. seu
  19. husvalores, ipsius 40 et e substotuendo in aequ
  20. in qua substituendi valores
  21. Restat 4. 41. 50 + 31.4150 + b a = 11. 3150 + 45
  22. per praecedente,
  23. unde lollatur 41
  24. dende 40 per pacedentem, restabit aequalio pro 50
  25. similiter si XX + ac = BG et = 60v + 61 + 70 st
  26. e similis erit calculus. pero 60,61, 70, ut pro 40, 41, 50.
  27. sit jam t ab ag. coto sint y- xrC ergo tabebum
  28. lam ipsum quam quaratum nodn nisi unam cylinet
  29. XXFCX +BCet si sit et yytlly taen. fit Xx +28 + ex fint
  30. = 115. 3 20V 1E
  31. 112. 132. 21V
  32. 112. 132. 20 = 5
  33. ca non est est p
  34. calione ipsouum
  35. o fue
  36. 12. 172. 21 = f. Ergo s2 s. 20 = +: 21
  37. seu 20: 21 =f: t et 112. 12 = 5: 20
  38. I2. 112. 20. 10 + 132.132. 2030 = p se 1 C+ 11276. 104 55, 103
  39. l 112. 20
  40. seu et BeF. 0. 16. 4+ 132. 26. 30 = p. 20
  41. o ek 20.21 = 5: t. Nam quia 20,21, s
  42. 2. 41. 23 +2C+ l. 23
  43. ergo 20+ = 2C +b. Ergo 1= b, ota hypothesia ligores pestangenda ad eum casum
  44. r. 21 et Fu +B2. 51 = r: 21
  45. et f. 1021ruI + 135. 302 - 91
  46. ubi sola r involvit
  47. differentio inter D et
  48. 3E ae jam inventa per 112. sed 12. modudetur per aeu
  49. extitissec
  50. all aliquam ex his M. si in aeq. Z et 4 vels,
  51. rursus in absurdum non subtuta I12a habuissemu 12 simperces
  52. sut idem no
  53. pro 212, annc occo essi 212 et 112
  54. poteren fiet 4D.50 = 60. 70 et 91.50 = 51. 70. quibus prastitis nil ultra superes
  55. melior, ut sit _ a XX + Cx + ab- et
  56. XX + SX + ag- quolobet aeq. Clto, et tiat x= 40B + 1+ Hd, ita enim
  57. sed est etiam alia ratio, quae nihi vddetur
  58. et E = 212 ff4 + 232162
  59. 2. 40. 23v
  60. 12 = 5. M2. 20
  61. sed, non et cun permanus jam emm prodit
  62. sunt cora ipsi C et G etiam + eut coc pdeoque 241. 23 + 2C + B23 =
  63. quo l= b. adeoque revem ad cosum ut gy+ ac ergus+am
  64. -, 40. 400
  65. X763.
  66. sin cquendio se
  67. raru. 11V. 11 F2
  68. et 12. p 25 + 30. 2(11 20 (5] 11.
  69. Porro ad aegu. 3 4, 5, retiacrmus solur ubi 112 o milsa ubi 132,
  70. tc = 1090 W0 n c. pl. 1i
  71. At ex 5q. 3 e A rarsus sut Collendo 112. habetur item aeq. nova ubi jam veniendu ad eplicadem
  72. Ex aeq. 3 et 5 tollumus 112, habelu aequatio nova, quae rusus cois ipsi D et 8 per qua invenietur 20
  73. ipsorum S,t,
  74. valorem, qui fuisset
  75. lamen haec coicident, sed differre possunt sianis.
  76. 3 elix 112. simplex

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 341v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0678?run=74