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Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 1r

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: 0.75.

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The machine reads it as

  1. summa potestatum a Naturalibus
  2. Fet(XHC) = X + E X C + es 1
  3. 12
  4. P.2 2 + es C. 1, C. 2 7 C. 3 3
  5. C
  6. 1. 2. 3
  7. e. 1, C. 2, 2. 3,B 4 4
  8. C e
  9. intelligatur ab X Brmo incusive ad utimum et. lisivel
  10. 1.3. 3.4
  11. summa numerica
  12. Ergo X ult. = X prim. : e = sum X et et XC.2C + et C Cs FC + E. 1a sXC + et e r
  13. et
  14. 1. 2, 2 nG
  15. (XC). - X :e = G A e- 1 e 2, L , e-t. C. L p C. 23,
  16. sint X numeri arithunticae crescentes per d sereniani E. Et x pri puemsit ala in 25 qui asumitur, X
  17. p + 8.) s sum XC. 2 e. BB2 3 (um XC2 + .1, e. 2 C 2) _ X
  18. (2)
  19. st
  20. itinim oslibus fg
  21. siet Xult X prim E sum X verbigr 99. 9 summ x a 49 ad 10 inclusio seu
  22. simolbinst
  23. summa autem intelligitur, ab verbig
  24. ad X. vC
  25. sie erit
  26. sit e = 1. fiet K B x X K X X ult - X prim = = sum. 1 sed verb. gr. si c =1.
  27. Xult-XprimE
  28. 40 terminorum X, a gu usque ad 10 inclusive vel 5 4t4 3E
  29. et e siet
  30. 1, +2
  31. bC= et x pri. X ult sit 6 et X prim. sit 2. fiet 6 22 = b- 8 +5
  32. e
  33. vil G. a +8 274217. 2.
  34. Ergo s, 1+141H1 = 62
  35. A Verb. gr. sit C, 1 et Xult 6, et prim. 2. fiet
  36. 6 -2 = 6-5 +5-4 + 4 -3 + 3-2 = ( 2 (6 - 2) 1
  37. +1
  38. sit C =2 siet X ult - X prim, : 2 = C summ. X F sum X
  39. + 1
  40. 6- 2
  41. ab
  42. aequ et 5+4 + 3+2+ 140 = 6. - 5
  43. 6-5 +5 _ +4-3 a
  44. uequ
  45. 18t2
  46. aequ
  47. a+ q
  48. sit e = 3 fiet X ult - X prim, : d
  49. 67253 35
  50. fiet 6- 2 = ape
  51. 2545+ 5 = 301
  52. Cs- 36.6- 46+8
  53. 216 -8, 13 = 208: 3 =
  54. 69+ 3
  55. 36, 6 L 216, - 1258
  56. tet
  57. CEx
  58. Au
  59. aequ.
  60. aqu
  61. 31
  62. 5.G
  63. adeoque 25 + 15 +9+4:
  64. Eadem methodo 125 +64 + 27 + 8 =
  65. (3 - 2
  66. 91;: 3 = 30t
  67. adeaque 25 + 16+9+4 =
  68. 8 2. 27 -7 d 35
  69. + 53-4
  70. aequ.
  71. 16
  72. 2. 1
  73. 1.219
  74. P-2
  75. + e3 =
  76. aequ.
  77. 1.2
  78. 123, - 2
  79. 1. 2 = 7. 23
  80. 6-2 X (72
  81. Eadem meltabo quia 6- 125+ 3 25+ 2. 2 5 + 3. 2. 1 5, seu 6 -5- = 12
  82. et 23 + 16 + 9+4+, +0 = 6-
  83. Eadem nethodo 125+64 + 2718 =6-2 -72
  84. sufficit seponere summaspro calculo, uit enim e = 25 + 2
  85. 6-5 = 1Et 65 = 3 + Et
  86. v. 25
  87. 1. 2.3
  88. pro
  89. aequ.
  90. 6-2. 21
  91. 1. 2.3.C
  92. 12
  93. 6=5 +2. 1 6-5 et 125=
  94. 1. 2 1.2
  95. 2.3
  96. 3-
  97. 2
  98. 1. 2.3
  99. 1. 2. 3.4
  100. l. F 3
  101. 1. 2.3 2
  102. 1. 2. 3
  103. g_.. ge2 + g 2 3, e -4
  104. A h
  105. + t e-4
  106. 3.82. 625
  107. 1.2.3
  108. 1. 2, 3.4
  109. 6 -5,: C = 5 +.1 5e 2 +8-1,8- 25C. 3E ( 198-2, C- 35 4 4 (21, c- 2, C. 3, - 4 5-5 +
  110. 1, 2. 3. 4.5
  111. 1. 2. 3. 4
  112. 2.3
  113. .2
  114. 1. 2. 3. 4. 5. 6
  115. 2. 3,4. 5
  116. 1. 2.34
  117. li f-
  118. - 3. 2. 1 6-3
  119. (. + g. C -3, 8 - 4, e-5 .. et
  120. 1. 2. 3. 4
  121. + el B. e- 4, 8-3. .. et
  122. 1. 2
  123. h, 6- 507,:, 3 =
  124. sed = Z = 1. 2. 3, et fiet h_ = 2 -1, C- 2, e, 3
  125. 1. 2 1.2
  126. 1. 1; 1.2
  127. gF 1.2.3
  128. l= e- 1 e2 2, en 3 en4, = 1, 163, (2.) 1, (.2 3. (1 2. 3e)
  129. 2. 5. 4
  130. M = C = 1, C-2, - h, - 4, B- E,, + 12 (= 1. 1. 3
  131. 1
  132. CL) Bra
  133. = C-1 et C. P-4
  134. 1. eK. 4
  135. - 1 (1
  136. et
  137. 12 et g - E.1. 82 = e-1, en 2- 1 (L
  138. 1.2
  139. e-1
  140. 1.2. 3
  141. at e e seu d= (12 = 5) -1, e- 2 Et h = - ( - L) e-t. B- 2 8-Z 4 8-1. 822, e23 = G-1, 8-2, C-)
  142. 12
  143. (e
  144. 62
  145. 3. 2 6-5X 1 212 2 1. 2L12
  146. 1.23 3
  147. 5= 6 -5 - + 6- 3 25= 6 25- 6 5 + 1 6-3 125 = 8 5 - 6. 5 + 265 065
  148. t
  149. 1,62- 5 3i, 2.2 =
  150. 7. 2. 3
  151. 6-2 - 63 2 -6-2 + 16, 3
  152. 4. 3. 2. 1 et ita porro.
  153. et 6 =5 = 625 + 4- 125 + 4. 3 25 + 4. 3. 2 6 + 1. 2. 3. 45
  154. 1.23
  155. 1.2.3
  156. Et exempli gratiant
  157. 2CC sum. X + 2. 1. C3 summ X. Coterisque te
  158. 12 2
  159. 6-2-
  160. V
  161. l.h
  162. . ti 6 (7. 2 2 6 =2 + (3 2 12 1. 2. 9) 627) - 2.1 (6. E - 6 2
  163. -2
  164. tandemus 25 + 16+9+4 = b
  165. 2+2
  166. C summ X-
  167. aequ
  168. vi
  169. 1.2. 3
  170. et
  171. 102
  172. 1. 2. 3.4
  173. seu d= ete et h=0
  174. sou d U 1.2: 1. 2. 3
  175. in + - L. = e- 1 et .4 1
  176. 1 27 1.2.3 43
  177. 25
  178. 220
  179. Fi et. Y; 1. 2.3312,
  180. 3. 4.50
  181. in
  182. emendodatur
  183. ammonicus
  184. 3- -
  185. 2
  186. .2. 3
  187. 112 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068072:0001?run=73