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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 7v

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: 0.74.

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. 8r); this page is its left half.

The machine reads it as

  1. Efficiendm jam est, ut quadratum de 2egr + cnr. adento er
  2. : In teqrenque
  3. en + eq + cnq1
  4. relinquat quadratum ducatur 2e q + En, in 4 ta +eq 4 enq
  5. fier requln + 2Cr a regrenque pe, producta si adimatur
  6. 2E quadratum a a regr + cnr quadrate relinqui debet
  7. (0 vaso
  8. quadratum, fer ergo. = In et ( Prq ecin qtaeq+4Cqtc)
  9. y
  10. e
  11. duaspeses et et vel
  12. tert ia deforis asumt
  13. ubitiariam
  14. duaum priom inventa selvet pure, habemus. aesideratum, quem in finer
  15. (Cn) + a cn BI + B. 1- lne (- eenq) + 3 et
  16. imo et aliter, sipunctur Pa esfit enim
  17. x2 ponamus
  18. Deqen cn
  19. quod effici potest, si modo detur numerus quadatus, qui subtractus
  20. iniset a Z. 3. relinquat quadratum. Seu modo ternalius possit esse
  21. potest, si sit duorum quadratorum summa.
  22. aequationis
  23. aliter hoc solvi
  24. Rostat ergo Omnia ergo rediere
  25. BN et, adaesolutionem hujus pablematis. X + Z2 p 3l. seu quaerendi sunt
  26. fiet aequatii duo quadrati, qui simul sumti faciunt a, fiat X + 2XZ + Z2
  27. 5, 3V + 2xZ
  28. nunc Tantum ergo apus est 3l + ZXZ aquari quadrato V, fier ergo X p, V 3
  29. ponatur
  30. et X +Z 1 D at ZH 2X y, erit 31 A4 X 7
  31. s.
  32. x1
  33. vy
  34. 12H
  35. male
  36. Z
  37. sine raxa
  38. e
  39. tco
  40. et 3( p. 4xyco + eo. D. rum X +Z + 2Xy + co. Ergo pro
  41. in unas
  42. Xg substituendo ejus mutirem sive Xl+ 2XY 2Xy+ col. D.
  43. XC + exco Y
  44. Ex aeq0.
  45. co +AXVI + +Xy B 3V + 4X5., quae aequatio
  46. t
  47. i
  48. facile exitum nmmeris reperit. altera aequatio D sic resolvetur.
  49. y. axy
  50. poratur colxx n go
  51. 3 fier 2Xy +X C XY SECX-X
  52. et c + 2Xy F 31 + aex y. Ergo c
  53. Ergo co CO , XF SicOX CX A BI
  54. sive co - X +. YrcoX. N p L3V + COX (X S. con. x (x
  55. HX, fiet Jam ut Radix extrahi possit ex 2X - X
  56. ponatuo 2CoX. X X X 6v2
  57. et cer
  58. 21
  59. 10+
  60. fiei 2e0 X B x
  61. et X Y 2co l erit P2CX X arcola
  62. et fiet 10 = 2cod + 2colov
  63. videa
  64. e
  65. 1160
  66. 31+ 20010
  67. 17
  68. 4co l0
  69. l40V
  70. V+ 21504
  71. ga
  73. Videamus
  74. an 3H = 316 26120 1to 4V + 2co ( + 2Co l6V apo lo possit.
  75. L2
  76. sine (co= C0) c videamus 414 13l a Co 14 (1 2C 15ota
  77. i
  78. ppyrit esse quadcalum, pet eruta L + 3L0 4co gba fiet
  79. H 1I a2 cot+
  80. aequai quadrato. sed sa vix habebitur exitus.
  81. su
  82. est data
  83. D
  84. de

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0014?run=73