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Leibniz-Handschriften zur Mathematik LH 35, 3 A 37, fol. 3r

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: 0.86.

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. 2v); this page is its right half.

The machine reads it as

  1. Unde oritur regula generalis salis palchra. si duae sint aequationes ejusdem
  2. liters, et multiplicetur una per formula qua um grau sit sit gradus proxina
  3. altera aequatione inferioris; poterunt poterunt in aequatione ex productis
  4. composita tolli omnes ittermini diteram tollendam continentes
  5. 10 = 22 +2, X +20
  6. Multiplicetur
  7. aequ. 1. per form. 31 + 3oX A et aq. 2. per form. A2 + ~1X + 40 X
  8. o = R 13 + 12 X + 1X +10X
  9. 13. 3) + 12, 31 X + 1. 3IX + 10. 31X
  10. + 13. 30 +12. 30 -+ 11. 36 + 10. 30
  11. = 10. 13. 21. 4+
  12. a 01, = +13. 13. 20. 4
  13. abei = +10. 12. 22 - 191 21
  14. - 20. 42 - 20, 91 -20,40
  15. XO2 = +12, 13. 20- 10. 13. 22
  16. 12 = - 10. 13. 2)
  17. 1722 = + 10 11. 22 - 1B. 13.20
  18. 30 2 2040: 10 31 = 22. 42: 13
  19. Hi galores substatu ducti ex terminus
  20. extremis aequationis 3. substituantur
  21. intterminis mediis. pro 30 substituendo
  22. 13, 20. 40, et pro 31 substituendo 10. 22. 42
  23. et ubi absunt ambo, multiplicando per 10. 13
  24. unde fit 01. 12. 23
  25. 02. 13. 21 = 02. 11. 23
  26. 703 = +11. 13. 20 - 10. 13. 21
  27. 713 = - 10. 13, 20
  28. (23 = (r10. 10. 22
  29. Or. 13. 21 = - 16. 10. 12. 12. 15. 13. 20. 20. 22 +10. 1050. 12. 1915. 20. 22. 22 +10. 10. 12. 13, 15 (20. 29. 2) = 76. 18. 10. 15. H. 19, 20. 4. 22
  30. 01. 12. 23 = 210. 18. 18. 13215. 13. 20. 21. 22. 8
  31. 03. 11. 22 = = 18, 10. 11. 11. 15. 13. 20. 22. 22 +10,10. 10. 11. 13, 13. 21. 22. 22 + 16. 1. 11. 13, pt. 20. 20. 22 = 10.76.16. 15, (5. 13. 20. 21. 22
  32. Op. 13. 22 = (. 1b. 10. 13. 13. 18. 1. 20. 20. 22 + 18. 16. 985. 15. 13. 13. 20. 20. 20
  33. 03. 12. 21 = .: 16. 16. 11. 12. p5. Bh. 20. 21. 22 f. 10. 16. 16. 12. 15. 15 21. 21. 22 + 19(16. 11. B3 15. 13 2021 248. 10 16. 18. 19. B5. 1. 21 21. 21
  34. 02. 11. 23 = B: 10. 16. 1 1. 15. 20. 24. 22 + 1d. 16. 16. 18 B. 13. 22 22. 22
  35. +10, 10, 22. 22. 22
  36. =10. 11. 21. 22. 22
  37. 2210, 12- 20. 22. 22
  38. +10. 12 21. 21. 22
  39. = 10. 13. 21. 21. 21
  40. 13. 10. 13. 20. 21. 22
  41. + 11. 11, 20. 22. 21
  42. - 11. 12, 290. 21. 22
  43. L2. 11. 13. 20, 20. 22
  44. +FeC 12. Loc 2022
  45. + 11 13, 20, 21. 21
  46. + 12 12. 20. 20. 22
  47. =12. (3. 20. 20. 21
  48. + 13. 13. 20, 20, 20
  49. = 21. 42 - 21. 41 -21. 40
  50. = 10. 13. 22. 41
  51. A YII =- 10. 13. 22
  52. 22. 42 = 22. 91 - 2240
  53. + B. 10. 12. 22. 42.
  54. + 13. 13. 30. 40
  55. Ot 10. 13, 21.
  56. 1 3 26. 20
  57. oc 0= 11 + 10X
  58. to lo 22 222
  59. le t 21 2222
  60. a nannt
  61. HI. H. 21. 21. 22
  62. 12. 12. 20. 21. 21
  63. harum combinationum
  64. sed nec onstat salis degignis, nec de numeris coefficientibus
  65. Nondum apparet ratio exclasionis
  66. videamus an ex sub atia ex reductione multiplcationibus
  67. per formulas artitrarias aliquid generale duci possit. Et
  68. redinchoemus rem ab initio
  69. Oi 11, 21, 0r 12,27
  70. fit 0 11, -21 0 10, -2
  71. Sit 0= 12 + 11X + 10X d= (B 21 + 20X
  72. ex petr multi lin es et opopitis fit 11 8+ 1o 20 fiet
  73. eago Ex 11. 22 - 1 2. 21-
  74. fit -11. 20 + 10212
  75. + 12. 30 + 11. 30X + 1O. 3DX
  76. per desolutionem aequatio
  77. num multiliteralum
  78. simplicium 1C
  79. 110-y. 40- 6. 11 pre-
  80. sit _ n 30 20. 40 - n1. 41 (70
  81. 1030 2040 20+1 = 0
  82. saX=0 olqs neaniso aro l ro narbisiC
  83. Ao octo - 21. 41 pro 13a + 23bF33C
  84. 11, 21, 31; 12, 22, 32; B, 23, 33
  85. na 1e 20 a
  86. ut in multilitererum simplicum Canone oca sunt literases et aequationales. Ita hoc loco
  87. 11. 3 40 -1811 - 0
  88. qu cefficientes quamndm. literarum, ut hic 30, 31, orc. si adscnt, habent notam dxtram. 1. ruque reliqueua
  89. Nota dexta vero
  90. teque nota lleralis itaque adE coefficieptet canonis multiliterarum simplicium habeatur coefficien
  91. Quod ad notam sextram
  92. omnum, ut 40, 4, erc. habent notam et simistram 2.
  93. praevis, primum sinistra nota illius semper mutabitur in 1 vel in 2
  94. attinet ea in aeq. Canonica est 1 vel 2 vel 3; in aeq. nova est 0, vel 1, vel 2. dento gradio
  95. utera literae. Ergo si aeq. camoniae nota sit n, in aeq. nove fiet nota n- 1 - et p est nota gradus literae; sed nota gradus
  96. literae ex nota simstra aeg. canoniae nosci pt. Nempe notasi hoc loco notae sinistrae lamonicae 1 respondet 0; 2 et 3 respondet o et
  97. tmpe a noti sinita lamonica ditolemise prontatum s oeu eti iamante undem defioiente
  98. quod signa atfuse omnibus comonicis dicholocgrio posterioribus evefficientitus praefigitur-
  99. constate on seetut aest asr

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 37, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068250:0005?run=74