Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 158

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: 0.78.

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

The machine reads it as

  1. 258
  2. FiK A N CZS CZ d SCHOOFEN
  3. de, extracta radice, invenitur
  4. a abb +2aacC = 2 bBCC = a + - b4 = c+ - . + cc d a
  5. Fixtii-
  6. bens quo pacto linea incoonitar ex cognitis a, b, 6, e ex ad arbi-
  7. erium sumenda d, obcineri possit.
  8. Caterum quoniam in Problemate, ad praecedentes Aquatio-
  9. nes reducto, propter lineam d, qua hic modo major modo mi-
  10. nor ad arbierium lumi porest, linex quoque x ee y inde majores ac
  11. minores eradune, atque ob id Problema non determinatum exi-
  12. sic, sed intinitas recipie solutiones: lubet _ alterum Problema,
  13. quod omnino decerminatum est, atque in cujus solutione, ad y-
  14. numquemque ex qualitis numeris inreltisandum, unam Aqua-
  15. tionem cum aliâ compararimus, in medium afferre.
  16. P R O B L E M A.
  17. Arenire duos numeros, quorum summa mulcipli.
  18. L cata per summam suorum quadratorum Faciar 7 E5:
  19. ec differentia per difterentiam corundem quadratorum
  20. F2ciat 99.
  21. Supposito Problemate canquam jam Facto, pono promajori
  22. numero qua lico x. L y, C Prominori x -y: critque lumma quae
  23. litorum numerorum Dx, e corundem differentia ∞ 2 y.
  24. Tam quia x L y e x - y in se ducti FaciunE X X + 2 x y L yy
  25. _ X X = xy F py, quorum Cumma est : X X + py & ditterentia
  26. xy: rectat UE =X X L 2y y multiplicata per 2 ∞, d 4 u y per 2 y.
  27. vroducta 4x 3 f + X y y de B x y y linc dacis numeris 715 de 99
  28. aqualia.
  29. Ouocirca inventis duabus Aquationibus 4 X 3 L. + X yy ∞ 715
  30. et Bx 7y ∞ 99, uc ex sis obtineatur uterque numerus incognitus
  31. vecy comparounam Equationem cum alcera: mulciplicando pri-
  32. mum utramque parrem prioris per 2, de FFB ∞ 3 F B X yy ∞ 1430,
  33. ac deinde ex ea subrrahendo polteriorem B xyy ∞9), d reliri-
  34. quitur Bx 3 ∞ 133T. In qua, siutrobique extrahatur radix Cubi-
  35. Ca, habebitur 2 ∞ ∞ FF, 8 FCX ∞ 5=.
  36. Postea ad inveniendum p diridatur Aiguatio polterior 8 ryy
  37. ∞ 99 per ja IAVeNEaM Z N ∞ II, de orietur Aquatio A y y ∞ 9.
  38. InC
  39. M
  40. b
  41. sibit
  42. d
  43. MeAt
  44. subbt
  45. Alte
  46. HI G
  47. PiDre
  48. Aucci
  49. Mlalum pIC
  50. Ellal CBB
  51. Hocct
  52. Guiauti
  53. led 1
  54. quatulu
  55. Subtale
  56. denb
  57. Cacris.
  58. Ubinor
  59. Sic. cum
  60. aical
  61. Cdd; Gua I
  62. Cdtaiun qu
  63. IprodOnI
  64. Biio aequip

Cite

[Ps. 1], fol. 158. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0180?run=74