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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 191r

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: 0.85.

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The machine reads it as

  1. Ororahiocu) Crietsi2) O2sbtero ∞12s l12s (064 164) 032l32 016116) 03l2)(6a 1a(212) Vit,
  2. 20. F 19.
  3. 2)20.10
  4. 219. 11 2)19. 10.1
  5. 18.
  6. 17
  7. 1. 16 15 14
  8. Eruitur pro Periodo
  9. 2) 18. 12. 2) 18. 11. 2)18, 10)
  10. Seriei Quadratorum
  11. 2) 17. 13. 2)17. 12 (2)17. 11. 2)17.10]
  12. 2 16. 14 2) 16. 13. 2) 16. 12 2) 16. 11. 2)16. 10,
  13. 15. 15 2) 15. 14. 2) 15. 132) 15. 122)15. 11. 2)15.10.)
  14. 14. 14) 2) 14. 13 2) 14. 12 2)14. 11 214. 10.
  15. Et transponendo Duplicata 13. 13.)2) 13. 12)2)13. 11.2)13.10.)
  16. 21. 10.]
  17. orietur series talis:
  18. 20. 11. 20. 10.1
  19. 19. 12 19. 11. 19. 10.
  20. 18. 13, 18. 12. 18. 11.18. 10,
  21. 17. 14 17. 13. 17. 12. 17. 11. 17.10.
  22. 16. 15. 16. 14, 16. 13. 16. 12. 16. 11. 16. 10.1
  23. 1515. (15. 14 15. 13. 15. 12. 15. 11. 15. 10.)
  24. 15. 151 14.13, 14. 12. 14. 11. 14. 10)
  25. 14 14) 13, 12. 13. 11- 13.10.5
  26. LEGE5 calculi
  27. 13. 13.
  28. 12. 12.2) 12.11. (2)12. 10)
  29. 12. 11. 12.101
  30. 12.12 11. 10.
  31. 13
  32. 12
  33. Sed tantum singulae Notae per singulas correspondentes
  34. sve suc
  35. sed descensive Deriodus in Periodum
  36. 2) Si Periodus Correspondens locum totum alterius non
  37. impleat, repetatur toties donec eum impleat.
  38. Nam eadem Periodus repetita, manet tamen Periodus
  39. aliqua ejusdem Columnae
  40. 3. Multiplicans o. reponit seipsum, 1. reponit Commultiplicantem
  41. Addendum 0. reponit Conddendum, 1. reponit Anticoaddendum
  42. ita ut _ +) faciat o gravidum.
  43. o, gravidu addito i. fit 1. gravidum, et hoc addito 1 fit O etc
  44. 4) Omne gravidu addit Colunae proxime altiori Unitatem
  45. Dupliciter gravidu addil unitatem Col. altiori una intermissa
  46. Tripliciter gravidum, addit eode locounitatem d praeterea
  47. Unitatem loco proxime altioris colunae
  48. n l10. ==Periodo Numerorum Naturm lium
  49. Quadrupl. gravidum addit Unit. Col. altiori duabus intermissis
  50. in singulis columnis Dgadice Scriptis.
  51. racis Multiplicatorum
  52. 10.10 = O111. 11. 14 = O212, 12.12-O414 13. 13. =0518 14.14 =0,6. 116. 15. 15 = 032(32. 16. 16 - O6glsq
  53. 1310- 080) 4 14. 10. =0,6(018 115.10 =63201 b
  54. D Multiplicantur hic non singulae notae n. 1.) (10. 1V. = X N. OscEI: (O1)AOHOX
  55. per universas Notas commultiplicantes ut alias
  56. ie hic Numerus in Numerum ducitur
  57. etc.
  58. 14. 13 = 6160818. 15. 13=032044)
  59. 11. 10 =O20I. 12.10=O4(O12
  60. 11. H1. = O2II. 12,11 = 6402l2 1. 11.080217)2 14. 1. =O16(0212)4 15. 11= O32(0212)6
  61. 13. 12-0804l4. 14. 12= 0, 6(044) 2(15. 12. =032 (0+ 4)4
  62. Generalter
  63. 11.
  64. 12 a
  65. 15. 14-03216116. =632,4
  66. O2 (02(2)2n-3
  67. 61 a aO (03(3) 2m- 4
  68. eneralissime
  69. Im. =O3 Ontn) 2
  70. m.n-
  71. 13. 10 =08(01) 4 13. 10 = 08(01)4 13. 10 L0+(11) 4)2
  72. 13, 12. =080414
  73. DeO1 10)
  74. 13. 13. =0518
  75. 08(10)
  76. 14110, O16 (01)8
  77. 14, 13, O160818
  78. O1b(D+ (10)4
  79. 13. 14=0100818
  80. 0801400(10)4.
  81. 14. 10 =9, 6 (0)8
  82. 14. 14. =0, 6. 116.
  83. O1b (10)
  84. 14. 10. =016 (O1)B
  85. 14. 15. =033. 916. 116
  86. = 14. 10 apP. 19, 16 (01) 8 0. 6198
  87. O16018) 1 10) 2 = 214. 10, appos. 2)14. 14, 1410.
  88. n-n
  89. Im. In = D2 3 M sed 03 plane perit in haec Formula
  90. Praxis aaitorum
  91. 210 + H = 0110
  92. Im per 10. facit O (1) 2m. 1.
  93. 1. 11. 2) 11. 10,10. 10. = N. X.
  94. 4r
  95. is Additorum
  96. O2l2, (0120110
  97. 14. 10. C16(018
  98. 13. 11 (08(Or12)2) E 14. 11. =016(0212)4 14. 12. = O16(V44) 2
  99. 13.10. =0(01
  100. e110)
  101. 13. 11. =08(0212)
  102. (O, 11)2m-
  103. 14. 10=0,6(01) 8 14. 10. =O, 6. (9B3
  104. Oid o2)2
  105. 1b (CO
  106. E
  107. O16 (0110)4.
  108. 14. 10.
  109. 16. 14. 2
  110. (DidnoL
  111. 10. 10 =10.
  112. H1. 10 =02, 010.
  113. 12. 11. =O4, 1)
  114. 98, 2) 11. (13. 12 =08,12
  115. 14. 1 = 016, 4) 11, 14. 12 = 016, 2) 12
  116. LSH = 032, 8)4 (15. 12 = 03274) 12
  117. 16. 1. = 064. 116) 1(16. 12 =064.8) 12
  118. 13. 10 = O3,Z. 10
  119. 12. 11 = O4y y.
  120. O41 1b, 210, 0110
  121. 13, 10 =O8, 4.10
  122. 13, 11 O512
  123. O8(0110)2
  124. Alia Praxis Multiplicatorum
  125. o Generaliter

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 191r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0381?run=74