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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 66r

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: 0.81.

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The machine reads it as

  1. 10X + 1X + iaa X + 1a t, multiplicetur per 30X + 31a Z_+ 32 aaX+ 33 ax, 2a
  2. prodeat 4, 20X + 2, aX + 22 aax + 23 a X + 24 a X +25 aXX + 26a X + 27 a, debet hoc coincidientiari cum
  3. producto = 10. 30X + 10. 31a X + 10. 32 aa X L 10. 33 a X + 1034 a X
  4. + 11. 30a 11. 31
  5. prodibit 0 26. 10.70
  6. 12. 30
  7. 40. 30 = 10, 30. 40, 21 = 10. 31 + U. 30
  8. 40. 22 = 10. 32 +11. 31 + 12. 30
  9. 11. 32 +11. 33a + 11 34 a XX
  10. 12. 31
  11. 13. 30
  12. 12. 32
  13. 13. 31
  14. _12. 33aR + 12. 34a X
  15. 13. 32. 13,3368 + 13. 34a
  16. 1430 - 14. 3,
  17. 14.32 + 14. 354
  18. 4023 = 10. 33 +H. 32 +12. 31+ 13.30. Et ita pono
  19. Hi Atque hoc sufficit pro conone multiplicationis, sed pro eanone divisionis oportet quaerere
  20. 30, 31, 32 etc. quod est difficilius, atque ita eut procedendum, ponamus 40 = 10.
  21. Y 88e fiet 30 = 20. unde 21 = 10. 31 + 11. 20. Et 1031 = 10. 21 - 11. 20. Hinc
  22. 10. 22 = 102. 32 + tter + 10. 11. 39 + 10. 12. 30 = 10. 32 + 10, 11, 21 - 112.20. Et fiet
  23. 10. 12, 20
  24. 102. 32 = 10. 22 - 10. 11. 21 + 11. 20 10343 = 15. 33 + 10. 11. 32 + 18. 12. 31 + 10. 13. 30
  25. = 10.12
  26. Du 103. 23 = 103. 33 + 10. 11. 22 - 10. 11.21 + 113520 et fiet 10.33 = 10. 23- 10.1. 32 +19, 11. 21 - 12. 20
  27. = 104(2. 20
  28. F 10. 12. 21 - 10. 11. 12. 20
  29. + 10. 13. 20
  30. 10. 24 = 10. 34 + 103. 11. 33 + 10, 12. 32 + 103, 13. 31 + 102.14.30
  31. fiet 10. 34 = 10. 24. - 10. 11. 23 + 10. 11. 22 - 10. 113. 21 + 157. 20
  32. .
  33. + 510, 11. 12. 21, - 2. 10. 11. 12.20
  34. +10, 11. 13, 20
  35. - 103. 12. 22 + 102. 11. 12. 21 ∞ 10. 11. 12.20
  36. 4+ 10, 122. 20
  37. 102. 13. 21 + 102. 11. 13. 20
  38. = 103. 14, 20
  39. 16. 35= 10, 25 - 10. 11. 24 + 18. 11. 1123 -10, 1P. 22 +10. 1, +21
  40. = 115. 20
  41. -10. 12212
  42. + 18, 12. 21
  43. -10t. 12. 23
  44. = 18. 1B. 22 +10. 11F, 21 = 11.2
  45. +18. 11. 12. 32 =3. 10. 11. 12. 21 419. 11
  46. -10t. 13. 22 + 10. 11. 13. 21 ∞10,. 11. 12.20
  47. + 13. 137. 21 23,10.11, 13, 20
  48. 10. 14. 2 + 2. 10. 12. 13. 20
  49. +3. 103. 11. 14.20
  50. -18. 15. 20
  51. 1ouch. 22 +101
  52. -10. 14. 8
  53. Eit 10. 11. 12,20
  54. ubi calculum continuo, quasi
  55. altiorsfuisset assumti multiplicantes
  56. 18, 25 = 10535 + 10. 11.34,+10. 12. 33 410.1332
  57. en 10. 35 = 18. 25 - 187. 11.34 -10 12.33-
  58. , 16t. 13. 32 - 10. 14. 31 - 10. 15. 30
  60. E2. RZ PtS HH - 18 410. I1. B3. 2) L2.10. 11.13,20
  61. L1d
  62. + 10. 113. 12. 20
  63. 0
  64. - 10, 11. 12.20-=
  65. +10. 11. 14. 2C
  66. L1D. 1(312. 20
  67. 2. 16. 11. 12.20
  68. (B, 103, 12. 13. 20
  69. = 102. 11. 13. 20 X
  70. = 10, 12. 13.20
  71. + 103. 11. 14. 20.5 ==
  72. -10t. 15. 20 d L
  73. E
  74. Et ita patet propessus in infinitum.
  75. oanes lege
  76. 10. 13, 20
  77. +10t, 14, 31 + 10t. 15. 30
  78. 102. 12. 23 + 193. 11. 12, 2242. 15, 11. 12. 21 +2. 10. 113.12. 20
  79. C
  80. 16. 25- 10.11. 24 + 10. 11. II. 23 =10. 12. 23 +18, 11. 12. 22 - 15. 11.12. 21
  81. cc4.
  82. 5
  83. exdentur, sine potentia
  84. nogeneorum convenientet
  85. 12
  86. etc
  87. sec dra.s. semper
  88. un eodem coniisle
  89. gradu
  90. conveninut
  91. tam formali quam cirtuali. id epan Numeri praefixi sunt tropospositiones forenam facientes
  92. semodum literas i possibiles formam facientes. Signorum haec estregula generalis
  93. I facilis, ut, si ex 11, 12, 13, etc. componatur paris gradus dimensio sit signum plus:
  94. siu impar, minus.
  95. +10 H YX
  96. uib
  97. Regula ergo generatis huc redit
  98. st 10, 20 X + hI a XFaaX + 2XX424CX FVaKX tESax +ya CSoSan Iarsm Eushra aeia
  99. pt
  100. 20X + na XX + 12aa X + 13a3
  101. equ. Bo L 3ia X 3r aa X + 33a taa
  102. fiet 10. 20 10.21 10.22 10.23 10.24 10.25 10.26
  103. e
  104. aequ.
  105. aequ.
  106. 1030 10. 31 10. 32
  107. 11. 30 11. 31
  108. Homogenectum formalem
  109. v
  110. 12. 30
  111. et
  112. aeq.
  113. aequ.
  114. 10.33
  115. I1. 32
  116. 12. 31
  117. 13.30
  118. 1034
  119. 11. 33
  120. 1232
  121. 13.31
  122. 14. 30
  123. aequ.
  124. 10. 35
  125. 11. 34
  126. 12.33
  127. 13. 31
  128. 10. 36
  129. II. 8
  130. 2. 34
  131. 11. 2f
  132. 12. 35
  133. 1.
  134. 21
  135. 10. 35a + 10. 3a t 10 ra Cuu mondes
  136. L1. 37
  137. 10X uax+ B aax + 13ar3
  138. ubi ad generalitem pro
  139. pro 3, 2, l etc licobit ponere C, e1, e-2
  140. m, m -1, n - 2
  141. pro 4, 3, 2, 1, ek
  142. pro 7, 6, 5,4, et C
  143. eam etmul; et m., et
  144. +3 Et fict 50 =20 10. 31 = 10. 21 - 11. 20 16392 = 10. 22. 10. 11 2H. 1,
  145. 15. 30. 15. 31 103. 33 = 10. 23, 16, 11. 22+ (10. 11 - 18, 1221 F . 11. 4 2. 10. 11. 12 -11. 13)20
  146. 14, 31
  147. virtuaum. ipsa 20, 21, 2C, etc non constituunt
  148. utati ordine litranum il,athete camisa
  149. x
  150. 12. N L 2. 15. 1112 -18. 13)21L (11L 3.10. 11. 12
  151. +2, 10. 1I. 13 F10, 12- 163. 14)20
  152. seu
  153. seguum +gaias.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 66r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0131?run=74