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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 207r

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: 0.80.

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. 208v); this page is its right half.

The machine reads it as

  1. paginae sequines nqe paru sunt coonganoe, ut patet
  2. exsparia sova libito Aerglico inferta
  3. 10X + na = 0
  4. 20X + 2 a = Cd +10. 20X + 11. 20a = 0 velt v. 21 X + 11 21 a utroque 10 21.
  5. 10XX FeaX + 12 aa =0 (F 10 20 XX) 1120 ax F 12. 20aa7
  6. 20XK +21 ax + 24 a = 0- 10. 20XX) - 10. 21 aX 10. Va a )
  7. =10. 20X = 10. 21a
  8. =11. 20X -H1. 21a modo
  9. 20 +10, 22∞) + 1. 22 ax (F 12. 2a a - 0
  10. 1720 = 12.31- 12. 22)
  11. (CID2, A. 20 aX) + 10. 2, 12D aa =0 +11. 20, 11. 22 ax (+ 12. 20, 11. 2 aa = 0 fit
  12. ∞. 22. 11. 204X) - 11. 2, 21. 204a
  13. =1022. 12, 20 ax (= 11. 12, 12. 20 aa)
  14. et explicando H1. 20 in HIL. 22 = 10. 22 in H12. 2
  15. - 10. 2 -12. 4 + 12. 20 -18. 2
  16. Noca sinictrs sunt semper eed eaedem eodem ordine 1, 1; 2, 2
  17. 11. 20, 1122 - 10. 22, 2. 20 =8
  18. compendro trogr. 25 -0
  19. = 10. 11. 21, 22 4 12. 12. 20, 20
  20. 20. 22
  21. _1C
  22. +10. 12. 21. 21, 19 l2 . oo. 22. tt 194. 1. 2 o 2. EE
  23. Notae dextrae simul componunt 4. Et pars continet amnes possibiles transpo sitiones, homni quatior 0, t, 1, 2
  24. altero. continet omnes possibiles transpositiones ipsorum 3, 0, 2, 2, ubi evenit ut 02, 0,2, et
  25. 208 Sed ea lege ut viter ab. a.M vel 2, 2. nulla transpositio habet locum, e quivalea
  26. at, a= et a2 a1, seu av. am et aa sed investiganda superest re gula plus semel
  27. Occurrentium, ut 10. 12. 20. 22
  28. quod signa atinet, patet eadem habere signa transpositiones
  29. seque paria, nempe abam. bnbp et anapblbm sed diversa signa habere alam bs bp aplen
  30. velea
  31. vero nutaturi
  32. pota dinistra in pa resenta parti pariatione relenetur alter
  33. in hac caumsinandi ratione observatur oupex institiae exuna
  34. nntu spavile
  35. ut notae unius aequationis originalis, eodem modo tractentur ac nitae altetius aequa
  36. tionis originalis; s iaterse permenteret, ita ut Pro 10, 11, substituendo respectine 20, 2C
  37. predeat idem. Altera lex justitia ut coefficientes ipsius X, neo eodem modo tractenti
  38. ut seispondentes coefficientes ipsius a; et proinde pro 10 et 20, substituendo I1 et LI
  39. respective, prodeat idem. Itaqu sive notae sinistrae Nohae autem dextrae cor
  40. respondentes habentur, quae sibi complemento sunt summum aequ ad exponentem
  41. summi gradus in aequatione
  42. calcu
  43. s etiam
  44. tie.
  45. m enim qua eodem modo tractentur in modo
  46. 011.7.2 ato10.
  47. 1OX FMaX X + craax + 13 a3=0 410. 20X) + H DAXK +a0 a aX + 13. 20a
  48. Ed
  49. ic es EL. 21 + 229
  50. +1023C3+ 1. 2an +12 25a 715I
  51. 20X. + 21 axX L MaaX + 23 a3 =0 - 10 20X3 = 10. LIAxX 10 22 aax = 10. - 3a 0 - 17, 10X3 - 13, 1 qVX - 13, 21 2X 13. 134
  52. (+ 1220, 10. 2 XX + n. 20, 1023 aX + 13. 20, 10. 13)
  53. =1120, 10.23 = 11. 28, 14. 23 aX - 11. 20, 123
  54. +11. 20, 12. 23XX + 12. 20, 12. 13aX (F 13. 20, 12 23 aa (3
  55. = 18. 2, 23,. 20xx = 11.23, 13. 20 q = 12. 23, 1 2004
  56. B) orL(t1O. 23. 12.20 =19. 23. 19,2.2-18. 29)12. 20 + 13,20. 10. 22) X 10,23. 13. 26 - 19. 29. 19. 29 -13,. 20. 12. 20+.13,20. 10. 2)
  57. Expricte vel 0 = - 11. 20, 11. 23+ 11. 20. 13. 21 4 10. 21. 11 25 - 10. 21. 13. 2i1
  58. vel 10 +0, 21123 x + 10. 18. 23. 23a =o
  59. 1 =B. FB 3 F 1L EQ 1 et 1Z et 1 Zu1G. 21. 15. 2
  60. =11. 28. 23 + V. 20. 13, 22 410. 2. 12.2 3. 104 32
  61. Exposepore (+12. 23. 11. 20 = 12. 23. 10. 21 - 13,22. 11. 20 =13. 12. 1021 X-1(+ 12. 23, 12. 20 - 12. 25. 1B22 = 13. c. L riy 1 13) a
  62. +10. 1. 2 23 + coM 21. 23
  63. -13. 28. 10. 23 +13, 20, 13. 20 + (0 23. 10. 23 10. 23. 13. 26
  64. vel 1s. 12 2t. 23 4
  65. 4 1B. 10. 43. 23 d.
  66. Opdinando (- 10. 10. 22. 23
  67. +. 10, 12, 20, 22
  68. f 10. 13. 29.22
  69. =10. 12, 21., 23
  70. = 10. 13. 21. 22
  71. + 11. 12. 20. 27
  72. = 11. 13. 20.22
  73. de est 10. 11, 22. 23
  74. 10. I. 22. 2.7 l
  75. + 10. 10. 23. 23
  76. =- 10. 13, 20. 23
  77. =13, 13. 20. 28
  78. Resumamus 10 X + NAXX + 12a a X + 13a =0
  79. 20 X + 2 a xX + 22a aX +23a3 = 0
  80. itaque notas sinistras permutuliima
  81. dextras conservabimus
  82. +10. 23) XX) (4 l2. 20 in + l0. 23 (1X
  83. (+ Il. 20 in +12. 23) XX)
  84. -21. 1B - 22. 13
  85. 22.10 =20. 13
  86. 12. . 1 131019 2 p 3 1t3 .9.21
  87. Ordinrandio expria
  88. -10. 10. 2273 +10. 10. 23. 23
  89. (+ 11. 23 in ∞l1. 20 ) eX
  90. 1 18302
  91. A - 10 11- 3. 3. 23
  92. f 12. 10 in 212, 73) a) ((t 17. 30 in 212 23 )aa
  93. + 12 13. 20. 22
  94. +13. B. 20. 2)
  95. A (= 10, V2. 12. 27
  96. + 18. 13, 22. 22
  97. + 12. 12. 20.23
  98. = 12. 13, 20. 21
  99. (+10. 20 X2+ 1. 2c a XX + 12. 20ax + 13. 20a 4 = 1
  100. = 20. 10 X3 2. 1Ca r. x = 22 10adX 22.10a
  101. +10 23X3+ 11. 23aXX + (2. 23a aX (+ B. 23a= 0
  102. = 20. 13X - 21. 13aXX = 22. 13aaX 23. 13a)
  103. + 12. 20. 10. 43 X 4 13. 20. 10.25
  104. = 11. 23. 11.20
  105. ubi pro erolutione in uno quoque
  106. pari membri manelum dextrae transam
  107. nentur simissiae; it
  108. sitiare differun sugmo, quae duabus cquenint
  109. +.11. 29. 12. 234X +2. ~. 11 2310
  110. 1. 23, 13. 20) =11. 23 13. 20)
  111. in notis sinistris, usi respectu Xest 0. 1. 2. 3
  112. parspecto a rpt 3.2. 1.0

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 207r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0409?run=74