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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 74v

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: 0.79.

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. 75r); this page is its left half.

The machine reads it as

  1. 123 12312)
  2. st12. 512 vy + Z + 123. 525Zy + 113. 513V, + 100p 500F = U= mm
  3. 1 1()
  4. (0)
  5. + 0
  6. 2.16) 5. 0. 1. 2() + 8. 4(5)
  7. 4 5 2 4(6) 1 2. 1. 24)
  8. 2
  9. 6(5
  10. 44
  11. 112. 512 11213. S12B3VB. u g 13. 5_3 BVZ + 123523, 1n13. si2 3 qu L 12313, 5231322 + l 6. g. lst
  12. 11223, 51223
  13. 11223.51223
  14. 5 = 112. 512.51223, 12713. 52313 VZ
  15. =+ 112. 512. 51223, 11213. 51213VV ~ (123,523, 52712. 12313. 5231372
  16. =112. 512. 11223 11213 .= 123.523. 19 12313
  17. 5+ 112. 523, I12. 112(3, 123B
  18. 2+122. 512. 12312. 12313. 1n13.
  19. + 13. 513. 1123, 51213
  20. ins nthe
  21. +12S
  22. SI2
  23. +. +ug. opd
  24. 4 5 4
  25. = 112. 512. 14223, 123 i p 133. 513. l E. 12 13
  26. 117 +61) ebratBto =
  27. incae
  28. -123. s23. 53312. 1213. 51213 1g 1 2
  29. 4 1 ) + 12. 513, 11213. 11213, 12315. (4)
  30. 4u2. se (+u2. 513 (12. SIIU2SIZ
  31. 123. st- 113. 512 (1231512 113. 512
  32. aub lum atb, um
  33. F B. 512. 12312. 1233. (p139(
  34. 3
  35. = 113. 513. 11223. 51223 v0
  36. +
  37. seu (a - b) (L- m) = (a+ b) (1+ m) = (aD, am - b I+ bm a am = bl= b m = 2am - 2bl = 2112. 523. 117. 512
  38. 2,123,512. 112.513
  39. 12313 =423. 513 + 13. 527
  40. in coefficiente ipsiis vV est y2. S12. 112B, (51223. 5MI3 - 11227. 11213)
  41. et Coefficiens ipsius vo fit - 2. 112. 512, 112+3 (12. 512. 523.13 = - 2. 112, 512. 11213, 12313
  42. eris = - 2. 13,523. 11213. 12313 92313 = +113, 513 =113,. 523
  43. 23. 313
  44. et pari jure coefficiens ipsius Z
  45. pro coefficientte ipsigus vZ. In primas erit 51223, . SCs. HE SIIS
  46. in eodem coeff. ipsiue DZ in 2da 5 erit 1(2)+ 12(5IZM B3 _ 11223. 11213 12313]
  47. jam 11213, 12713
  48. seu nEc AC IV3 quibus accedit.
  49. 1 1425
  50. seu 113 3 (2 I 113. 525 L 11
  51. +112. 123, 113. 513) a
  52. +123. 5121
  53. 132 (423. 122.512
  54. 125. SIE D
  55. F123523, 11. 1351253)
  56. 123. 112. 512 113 112. 123. 512. 5235113.513
  57. 123. 513 + 113. 523 325.7B3+ 313. 7231 45
  58. +(23. 513 + 113. 52+323. 713 +3137745
  59. 15
  60. aequ.
  61. et fit (35
  62. Ex 2 et 4 adi . 513. 113 (=), (40 - 28) 315. 713 + (40 + 20) 713. 313
  63. 10) 35 151
  64. Ex aequ. se sit 7.7 -+ (4 - 20) 12. 723, : +(30 + 10) 113. 312
  65. (4428 )u2. 32h. 715 + (48 28) 112. 723. 30
  66. leetd Subtuhendo fit 2. 12. 513 = (30 + 10) scr ns 4( 30 - 10) 712 313 5 (304 18) 123. 312. 713 +(30-10) 123. 71. 315
  67. + (40 + 20 ) 512. 723(+ 20 - ) 5iz. 312
  68. (25, + 10) 323. 71277 - (90 - 26) s12. 323
  69. B5- 13) 123. 12 (20 + 20) 12 323
  70. (2;2) 5 12 3i3 71+ (4 +28 ) (, 2. 313
  71. ae
  72. Ex 1 et 3 addendo fil 2. 512. 113 = bB + (3 - 1) 312. 713 + (20 + 18). 712. 313 et fit (30 - 10) 523. 312, 713 + (38. +. 3.). 314, p. 313
  73. 15
  74. 2a 4 subtralendo fit 2. 13. Siz (40 + 20 1329 12 + (40 - 20) 7. 3. 313
  75. Ex 0g.7. fit 713
  76. 313
  77. 113.513. 11223.51225 17 51223
  78. Addatur - 112. SertEsu = ---
  79. Ergo taudem omnibus duplicatis, fit 2, 112. 123. 513. 513 + 112. 522
  80. Ex 1 - 12. 513 + 512. 113. =- 312. 713. + 712. 313 (16)
  81. Ex3. +112. 5134 Gr2. 113 = +31. 713+ 712. 73,35
  82. 45
  83. BE . 312 rL. 5at (113. S13 = 113. 513. 11223. 51223) 612 12. 518 113
  84. s2
  85. Y127. 527,11213. 5143 =4112.515-1132512, 123. 529 51213
  86. 112.523 un3. 31225 +12I3. 12515 = 11223. 11213, 12313
  87. 123. 512
  88. 11 s23 +512. 523. 113 quod in ar23, ( 112. 125. 523 5137 +112 3B. S13 = 11223. 1142, 12313
  89. C1 123. Se NL. 15.5
  90. 315S
  91. et 13. 513
  92. 12. 523 da
  93. 113. 512 l
  94. 5
  95. = 11223. 51223 (l- mm)
  96. 2 117. S12. 51123, 11213. 51213B P∞ 123. 513. 51g 2. 12919. 523 137 32 - Bp. Sp2 s1723. 12315 523B3BZ = 1213. 5123 I. m mi
  97. + M SeZ
  98. 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 74v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0148?run=74