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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 336v

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: 0.73.

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. 337r); this page is its left half.

The machine reads it as

  1. 352062
  2. 64- 10 208 11o Pou g
  3. axtac = pov F OIV +OV + oBoV rovoV 16
  4. c
  5. DD=Snbireot suoi vavesuonn b + 2. 5120. 5320XOVr2B 1t, 8
  6. 4 = 3020b, 3y sBr 3. 11
  7. 20: 120
  8. 1y20. 30X. 532 Joll. 5320 uB
  9. 1. 3.
  10. 5128. 10. 20 + Sy16. 30. 202,00
  11. 5128. 11. 21 +5326.31. 21o2 + ac
  12. 5120. 10. 21 +5320. 30. 21= 01
  13. 2. 3120. 5720. 20 (6130.
  14. (96) 2.5120. 5320, 21 25 0131
  15. Ex qu t 5120. 5320 = 3130; 2. 20 o131: 2. 21, Ergo 2 = 20. 0131: 0130
  16. Exaeq. 39. Hit , 512o = od. id. 2o - 5720. 30. 20: 10. 20 = (ex 40) 62FaC: 1. 21 = 5328. 31. 21: 11.21
  17. Ergo 53202
  18. se
  19. 00. 11. 21 = 02tac. 10. 20,:, M, 11. 30 - 10.31 20. 21. Et pari jure
  20. 60.31 - 11. 25.20. 21
  21. Nivalores substituantur inaequ. 91. fiat 00. 31=oE tac 30. 20 ion1 + 11. 20Y = 00. 11. 21. 5BL ort ac 10 2030 21I)
  22. Et 5126(
  23. 00. 31.21 = 02 +4c. 30. 293:)
  24. =61. 20. 21, 10. 31 - 11. 30. ubi pro 21 substituendo valiorem ex aeq. 46 evanescunt 20 et 21, et
  25. pr _ ex aeq. S1. sit aliae in qua pro 2Boportet substituere 0130; et pro 21 subscituetur 1131. Et fint
  26. 1+ 31. 2011
  27. 90. 0131, d. 10. 11 4+11. 2031 -
  28. d1. d 34. 011, . 3Lidse = ac. 013O 10. 314 1.20 30 - 30. 4 + 51. 2020 0j0130 0131. 1031 - 11. 30
  29. vel absolvendo substilutionem pro 20 et 21. fiet denique ex aeq. 52
  30. s
  31. fre
  32. (00, 0130. 0131, 11. 31 - 11. 3D + 00, 0131 10.31 -1130 (=02 t aC O13O. 913I. 1030-10.30) - 02. 0130. 11. 30 -. 10. 31
  33. = 01. 0130. 0131, 10, 31 - 11. 30 Et quia non licet facere 10. 31 - 11. 30 -0. quia sic erdo
  34. no diffh et 6 non different in indefinilis et hB fieret extiphibilus, in ideo depri-
  35. mendo aeq. 53 per 10. 31 - 11. 30 fiet 00. 0131 +02+ ac 0130130. 0131 porio
  36. Superest aeq. 42 vel 44, ubi pro 5120 et 3320, substituendo salores ex aeq. 50 et 49
  37. lieti - 00. B131. 11. 31 + 00. 02taC. 1 010. 0131. 1a y1 + 11301 -Bortac. 0(20. 1030
  38. 20 283
  39. (1 10. 31 -1130 (20)21
  40. 1135.)
  41. ti
  42. 6138
  43. 4. 28
  44. =. seu 200. o1BI. not ros. ortac Buo av1 1B uruso - orfaci to 30 (55 ) . 16 130. 81301
  45. 1el 10. 31 - 11. 30
  46. inserantur valores ipsarum 00, o2, 01, 0130, o131 jam
  47. His jam duabus aequationibus 54 et 3s adgungantur
  48. primit calculo priore reperti, et tum demum ad calculum ad finem perducemus.
  49. od A0 +60 (per 10 et 29 E per 2.BH. 92 40 10 rugo +60. 4. 1d. - ab. 410 30,: 20. 35
  50. Et per 1t. 29HI, o1 (O + (2)60, (a y1+ 1130, : (2) 10. 30
  51. (sper 13, 4, 29, 0130 = 2i40.60 : 170.30 et 0134 = (40. 60, 10. 31+ 11 30, : Vi0. 30
  52. B. Ergo ex eq. 54,59, 60, fiit d9. 10 31+ 1130 + ver ac L81, 131 + 11.30. et similiter ex
  53. aeq. 55 per su it eo. fint0b. 1. 3(4 B2+ aC, 00. 18. 31+13D b2t aC. 10. 30 (62 40 60. 18 314130
  54. (4 18. 30
  55. 1 2 1051 - 11. 30
  56. uquicquain deter mvinavimus, videamus an non liceat facere, et t ac
  57. praesertim cum in ac possit satere arbitiarium, et ft ex aeq. . 6 6 vel 61, fietqe
  58. E sera 10. 30= 1. d quod est valde rationi consentaneum
  59. = 60 +40 10. 11. 30.31 40.60 10. 31 - 1.382se
  60. eter
  61. vel ex 66ve se s
  62. mco es
  63. ss
  64. (6)
  65. 00) at d
  66. 60+40. 10.68
  67. et sod
  68. 4 ab ad, 151 F,
  69. 40.51A 4 a ad et e
  70. s ed fitota (0S1.
  71. d msno qued md Ct is
  72. 69et69 e
  73. 2
  74. juncta
  75. pusis et od amts. dA 40. 5i 4ab - ad . 40. 513. f- 11. 31
  76. 1 y 25). ((121~.4 fieret
  77. 51 =. 4 seu licn ll. BtA, 51. fieret 40 S1) . 8. 10. 51 ab ad +16 abad = 4, 40. sit
  78. seu 40. S14. ab -ad O. 51. (4
  79. sumum 3. 40, E = 4. ab -2d seu 40 f 4 ab- ad : d. 512 FL = 2 scet
  80. et 40. et valorem liters 40 ipsi 40
  81. eb ng
  82. Habemus ergolandem.
  83. eo quod assuusimus ae. 64 or tac a et fiet 40 1. 3 t 1. 30 + 46. A 0. 31. 1130
  84. . 10, 11. 30. - 1p. 3, L 50 per qpand 51: L. 131
  85. 265 v 80 f 4O1C. mda
  86. 168
  87. 13 spone
  88. superes iumlarquatia ex
  89. C
  90. s
  91. un ar aniat ex aeq. 62. fiet 604 p +40 For v3 . D 101 30131 - 40,68 10. 3r - 11. 30
  92. ∞X
  93. lan
  94. sa
  95. 12
  96. Rurspex 6. per 56. 57 5), sit 40+60, A. 10. 38. 10g1u H + 48. 10. 31ru. 50 + 68. 4. 0. 1. 3 31 = ab. 41 d. 18 + 410 2 a L gotao. 10 N F1 50. 41030)
  97. quia ad aq sinuliter eoplieandam nimic orituri prolixitas, et mondd
  98. ep
  99. 4etbor L g. 50. vS + 18. BnL _. 5o + 60. g. 10. 1. 5o,31 + 4. 1d. 3d acF B o rodZ. 1P 3IFH 30
  100. Et exer per easiemfis ed -
  101. di
  102. 512014
  103. 130

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 336v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0668?run=74