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Leibniz-Handschriften zur Mathematik LH 35, 4, 5, fol. 18v

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: 0.76.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. sun
  2. 2
  3. omamus formam paulo altiorem a
  4. a.. .. . . 1 E
  5. 2
  6. (ab habhB.... 3
  7. ab (ab EB
  8. q
  9. 21.....6
  10. 2 5a..... .. 7
  11. (ab habhb... 9
  12. abC
  13. .. . . . 10
  14. c hac he .. 12
  15. .- 12
  16. abc fab E8.
  17. . 15
  18. ac Ec .. 16
  19. . 1
  20. bchc.. 12
  21. ad
  22. ababc
  23. a625 ab 5 a.... . -. 19
  24. b. -a.
  25. 1b..
  26. AbCG, ab Etini
  27. abC hac Ec.
  28. Ebe heiit
  29. b0
  30. vac
  31. bbaac
  32. aat
  33. baacb
  34. aac bs
  35. (b2..... .. . . 28
  36. b
  37. caab
  38. ca
  39. 1C
  40. abat
  41. cabab
  42. bc Ec. . 36
  43. gace
  44. ub
  45. e
  46. Eba
  47. E ab
  48. bbcaa
  49. bebaa
  50. cbbaa
  51. Hic ab inter resolvendum
  52. sccunit semel quia protit
  53. dividendo abc sper c sed
  54. C est invariabilis.
  55. abc occurrit similiter semel
  56. a b occurrit bis, qui fit ex abc
  57. diviso per bc quod variabelet
  58. abe occurrit bis quia prodit
  59. abc dividendo per ab
  60. a occurrit ter quia prodit
  61. ividendo abc per bc
  62. ab occunit s nam prodit
  63. dividendo abc per abc
  64. cujus sunt variatioves 6.
  65. a occurrit vicibus ar
  66. (computando eos quibus
  67. est in a
  68. dividendo prodit dividendo
  69. abc per abc cujus
  70. sunt pariationes
  71. 2
  72. Remini cum valores quarerem ipsorum a a a, a et per
  73. ipsas X, y (id est ab), 2sid est abc) etc similem haberi poocessum pro parte
  74. nest quod pro X nisi quod pro y vel y, vel y, etc de dant non ut hic 1, sed 2
  75. 3, 2, etc dant 3. Atque ita jam suppte occurrit modus construendi
  76. Cdefficienles formarum ex ssq X, 7, Z, in valoribus ipsorum a, a, 1 etc.
  77. Nempea sit fomma in exemplum forma jyZ qaelcreitenei quae hanc
  78. yy8
  79. dabit resolutionem et coefficientis investigationem yy2y
  80. 2
  81. y .. . . 2
  82. itaque ipsius coeffiniens quq coefficiens est 7, sare cum gyque sit septim
  83. quidus debuit esse numerus divisibilis, per
  84. Nn similiter Xy
  85. sic et ytus syt..
  86. Xyy
  87. y
  88. Xy (Xy hy.. . 2
  89. y7
  90. (y3.
  91. is
  92. exyhys...
  93. yy ....
  94. xyZue Cxyh ...
  95. XZIE..
  96. 7ZEZ..,.
  97. yyque 59y.......
  98. y2 EZ
  99. 2yy ... . . 2
  100. y
  101. .. . . . 1
  102. .2
  103. .
  104. .
  105. (yZZ (xyue (X7 E. niiia
  106. XZ E.... 3
  107. EG.-1. 3
  108. ....
  109. XZZ5YZ 13.n
  110. 2Z..........
  111. y22572hZ.
  112. e2
  113. 1. 2
  114. B.. 2
  115. si..
  116. od
  117. gy....
  118. -12
  119. yy7ue (472 1725Z... . . 3
  120. 922Z72EZ..
  121. 112
  122. .
  123. Eaddim mahodo inveligabimias
  124. 2
  125. . 3
  126. ubi ruasus quia x est septimi gradus prodit
  127. numerus divisibilis sier 7
  128. ubi prod quia sZ est _ underimi gradus
  129. prodit numerus divisibilis per 11
  130. Hinc jam offert se ratio
  131. porro X occurrit tot vicibus quot sunt transpo–
  132. sitiones formae quae fit xgyZ dividendo
  133. per X nempeu formae yyueque cujus trarspositiones
  134. sunt 6. multipl. per 1. quia ipsius X character est 1
  135. y (computando gy,) occurrit tot vicibus
  136. quol sunt transpositiones forme XyZZ, nempe
  137. quae sit dividendo
  138. sins
  139. per 2 quia
  140. charurter. es
  141. 2
  142. Eibus
  143. dem vi
  144. r multipl per 3 7
  145. Ergo coefficiens ipsius ryyZZ in patentia
  146. pro
  147. quid st
  148. valere ipsit a est + 6.1 + 12. 2 + 12. 3 = 66
  149. qui numerus (ut debet) dividi potest per 11
  150. Alio tempore (cum magis vacabit
  151. indagabimus etiam aliarum formarum
  152. Valores per X, y, Z, etc, uti jan
  153. habemus valores formarum qua con uniliterarum a, vel a vel a et
  154. se
  155. ss
  156. e
  157. S
  158. p25ab
  159. . 15
  160. 4
  161. 3
  162. e
  163. b
  164. f. 6
  165. .e
  166. ac
  167. o
  168. e
  169. Ab
  170. Ne sil
  171. ab
  172. abc sab
  173. e
  174. u rc.
  175. (Xy93

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 5, fol. 18v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068002:0036?run=73