Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 341

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: 0.82.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. COMMENTAREE EN LIORuNIII.
  2. 342
  3. tis utrinque aequalibus, reltituro que ralore quanriraris alumpcx prioris sogni
  4. e C3, HCECd 3 - b d 3 bcd d - - bb d d -- b3 d - a ab d =- b3 C b. c. cum
  5. aaCy aabC∞C d- c3 b - bccd. BbcC - bC a abc per senum
  6. b3d. 2 a a dy - a ab d. Uibi si demum demantur vrrobique d itcls-
  7. aquales quantirates, _ quae in y ducta lunE EranSFCTANEUE; uEU
  8. namtaciane aequationis partem, reliquae autem alceram, ac can- 8 intelligi-
  9. dem dirilio instituatur per d =c, orietur cd d + 5c d - b d d -- il -: aur
  10. 2. bcd. F bbd - F bbc = bcC∞ 2 a a Y.
  11. Similiter, cum rectae HI F _ FM aequales (INE, CruNE quoque
  12. earum quadrata =
  13. 4
  14. 2. 2 2
  15. a
  16. a
  17. L
  18. a = bb - 2by. Fy y aequalia. Unde ablaris uerinque aequali- cellisitur. +
  19. bus, reliquis que mulciplicarisper aan adhibeatur porro transtario,
  20. utquanticates in x ductae unam ceneant aequationis partem, reli-
  21. quae vero alteram, Aetque 2+ -- b + F 2 a a by = 2 a aZ y + a a Z 2
  22. aa b b ∞ 2a ZZ ~ 2 ab b X. DividatUE jaM UEraquC ParSPeF
  23. Z n b, _ Orietur 23 F bZ Z F bb2 + b3- 2 a a y + a a 2 + a a b
  24. ∞ 2 aZ X.= 2 ab X. RursuS diridatuF UETInGUC PCF 2 aZ L 2 ab. 8
  25. trabebicurx ∞ 33 F b22. f bb2 + b3- 2447 + a a2 + a ab
  26. 2a2 + 2 ab
  27. Ouia vero ee supra quantitas a invenea fuie
  28. C3 - bc0 + b bc - b3- = 2 a ay + a ac = a a b
  29. 24C -- 2 ab
  30. 23 . 622 bb2 +. b3 = 2 aa y + a aZ + a ab
  31. 2aZ 2 ab
  32. C3- bcc- = bbc -- b3-+ 2 a ay + a ac - a a b
  33. 2ac = 2 a b
  34. Crune
  35. catis caussa, Scribatur rurIuS 8 e 3 pro - b3 + 2 a a y - a ab, 8
  36. 8 e3pr0 + b3 = 2 a ay- + a ab, ee mulciplicat d ueraque aequali-
  37. catis parte per 2 a, Ceu, quod idem est, dirilo ueriu sque denomina-
  38. coreper 2a, insticuatur mulriplicatio per crucem, ut Fractiones
  39. eranelcane, Hetque c23 -- b23 -] - bc~Z - bbZ Z L bb62
  40. b32 . - a4CZ =- 4 4b Z 8 c e3 8 be3∞C3Z - bc3 -- b662.
  41. bbcc. = aac2 - ]- b3C - L bbcZ a a bC8 Z e3 8 b e3. Ablatis
  42. Porro uerinque aqualibus, relticuris que raloribus quantiratun
  43. aumPtaruM B e3 _ 8 e3, HCLCZ3 - - bZ3,L bCZZ - bbZZ
  44. b3 Z = a ab 2 - b3 c -- 2 a ac y - f a a bCD C3Z- - bC3 - bC6Z
  45. bb0c - = b3c- = a abc -- b3Z - 2 a a Z y - - a a b Z. UIBi Ei rursuS
  46. urrobique demancur aequales, ee quancieates in y duetx ad unam
  47. PaTECMI
  48. iu cun
  49. per sienum
  50. cum per sie
  51. bum et in-
  52. tum per sie-
  53. num B in
  54. 2bb x telligieur-

Cite

[Ps. 1], fol. 341. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0363?run=74