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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 92r

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: 0.68.

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

The machine reads it as

  1. a
  2. LFF
  3. 8∞10eo de
  4. EFF
  5. Se
  6. nto
  7. =
  8. rt id = ead n
  9. d.. .
  10. N
  11. L
  12. 2 e
  13. 2 in
  14. 11). 5 a X~
  15. ii
  16. a
  17. 2
  18. + +
  19. 25
  20. 8
  21. 12
  22. 4024
  23. 10
  24. 12
  25. E
  26. Ob =
  27. ale
  28. 1
  29. C
  30. 1 +
  31. 2 76851000
  32. 3
  33. e
  34. a
  35. 2
  36. E
  37. 1F ∞1
  38. a
  39. +
  40. d
  41. a-
  42. 41048
  43. 0c
  44. 4.
  45. d
  46. 409
  47. 1
  48. 2
  49. 6564
  50. 0000OFF=
  51. 655361==
  52. 34464
  53. 32768
  54. 69
  55. 1024
  56. 672
  57. 2
  58. cu
  59. E i
  60. i
  61. 5 53b
  62. 000000000000000O
  63. F=1110000(1010100000100000
  64. (13
  65. 3
  66. c 2FD
  67. e
  68. 160
  69. +eC
  70. re
  71. 2d
  72. e
  73. 1
  74. L∞I C
  75. 12 EIE 12 dy + 1D = 0 solvi poluss se supple dx 1 = =
  76. sed si sit my +u2dy + 121Z+22 dZ + 100 = 0
  77. +
  78. 2
  79. +
  80. E su =-
  81. ieC
  82. et euy+ 212 dy + 221Z + 212 dZ + 200 = 0 1eL il +
  83. opus foret simul Z et dZue solvi pesse. Faciamus y = v + pi Z
  84. et fiet UIV + 12 dv + 11I AZ + +12 pdZ + 100 = 0
  85. 112 deZ 1224Z
  86. 121 Z
  87. .Et similiter 2uV + 212d V + 211 NZ + 212 nd Z +200 = 0
  88. 212d p. Z 222 dZC
  89. 21
  90. e
  91. a
  92. 1le
  93. EAECE
  94. +2 +
  95. X ∞
  96. e+
  97. 3
  98. c
  99. E 5t dq = der + + pa
  100. FEsi, 1A+ p
  101. Ergo si I1IB + U2den + 121 = 211 (n + 212 d n + 221 prsummsponea 3122 =
  102. 112N 4 122
  103. 2121 + 222
  104. sconsantem, ut
  105. 12+ L22I
  106. 1I fy L 112f hy +121 fZ + 122f dz + 100f
  107. 121 fZ + 122 fd Z
  108. 221 a Z + 222 a d2
  109. 121f + 221 a = 221g + 121a
  110. 122f + 22a
  111. 222c) + 122a
  112. + 121. 222 f9 + 221. 4g222 ag +122 ca
  113. 224. 122aa
  114. + 121 122 af
  115. -221. 124fg - 121. ∞7 af lec
  116. 227- 222 a9 = 121. 222 aa
  117. 122H
  118. 22174
  119. 222d7
  120. 222
  121. et fint d+ sei ita d eranestit
  122. fit f9 = aa. itaque nit hinc
  123. Fquidsi 112 (M fI2E,: 1 = 21Z + 222C, 2
  124. Sptrmoa sit
  125. nestit nt222ge, : 212 evanescit
  126. e fit 1 deut ser et eam 5 et G
  127. + III. 212 ( +. 111. 222 (n (+ 112. 212 1d n + 112. 222 d p + 121. 222
  128. 1fgrS
  129. 121. 212 (n
  130. = 112. 211 Mer 4 122, 211 n s 112. 212 nde) - , 22. 212 d n = 122. 221
  131. H
  132. -. 112. 221 n
  133. efficiendum esset ut fieret 112. 212 = 1II. 212. Sed hoc ipsum est quod
  134. quantur
  135. fiat y = v + f(F et Z= gu+
  136. 112+ d nt + 112FMdt. + 100 = 0 Et eoiem modo pro ul ponendo 2
  137. fit 11∞ + 112 dv + in1 fnt
  138. si Aliter fiat
  139. fiet 11 V+ n Fao
  140. 121 V
  141. =122 dv
  142. simlliterque in caeferis numeris
  143. 1329d ut + 1229ndt fieri debet HS (uI f +1219) p + 11 5 + 129) d M
  144. 1219nt
  145. y2 L,
  146. aj. 5-
  147. (1125 + 1279)n
  148. (= (21 f + 2e19) at 312f 222g) a B, sed ita evanescit pra
  149. vient gati (2125 + 2229) n etsi infants
  150. + 111 f p F
  151. + 1219,n F
  152. 112 fdnt, - 12fn de
  153. iagdet =12g de
  154. =0 posito 100 et 209 fuisse destructa
  155. et quia evanescit i ponamus = 1
  156. fiat I11. f + 1219=
  157. 1124+1229
  158. 2I1f + 2219
  159. 212f+2229
  160. seu + (II. 212 f + 111. 22259 4 121. 22299 =0. hine datur f: g
  161. -21. F1L.. - 211. 12259 =221. 12299 lac eadem aequatio prodit
  162. et 121. 2125
  163. =2i. 112 G 4af si fiat solum 9 _v+ st
  164. pek sC 9E. quid mostit
  165. 9
  166. 4
  167. E
  168. C = i
  169. 0

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 92r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0183?run=74