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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 256r

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: 0.84.

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The machine reads it as

  1. pagina priot
  2. quae pomponuntur oxheis torim intellegi pe, deet
  3. 1a romsitu de coiua solum de columuis nostresu t pseo pt
  4. +E 11a + 12 ab + 13 abc + 14 hbc + 15 abcd + 16 abcde + 17 ab cdef
  5. re aliis quibuscum
  6. d-1a + 12 ab + 13 abc +14 abcd + 15abi d ef + 16 abcd et + 17 abcdefus = 8
  7. 1 a ∞2 ab + 4 abc
  8. 10g ab +103 abc
  9. eup 1. 1. I. 1 a +. L. L.H ab
  10. L1. 1.2.12 0, + 1. 1. 3. 12 abc
  11. in quolibet valore, coeffi
  12. cientis ut 10y. sumatur
  13. integer inclusus in yH: 2
  14. 2o nunero, te mini priores,
  15. seu medietas vel plus
  16. quam medietas valoris
  17. est regulata, vg. in valoreipsius ra
  18. acter esifficient iX, nn praeter ummiros
  19. progr. Giom duplae, multiplicabitur vrdine
  20. pet (ec a, et per Xnionem remm G2
  21. vefficiens ia, constat
  22. Ex. 9. in valore 10
  23. ex partibus, quae prodseunt si fstAb. 4. 1
  24. siguis alveratis t etq, pultiplicentur respective
  25. nu si g dup Si partes ex quibu
  26. constat , nempe 1. 4. 6 4 +, signis alter.
  27. natis ducantur repecti si
  28. si quaternio rerum 2 seu E
  29. si 7 rerum quaterniodu nempe 35 mulli
  30. - B abcd + 16abcdF - 32 abedet +64 abcdetu
  31. +1. 1. 4. 14a. + 1. 1.5. 14 abede
  32. dumnos progs. Heom doplis s. tro fucmtos nis poudats quorum muxns est
  33. plicetur per productun u
  34. IF , nempe 1. 4. 6. 4. 1 multim
  35. maximus 2, seu 64 qui sunt 14 - 8 + 1b- 32+64
  36. ubi Qui imparis exponentis affecti sign,
  37. sed alter major ditcultas est in alteraedietat1.
  38. signo-, qui paris signo +
  39. +105 abide +10b +b1d5) + 107 abcd et =
  40. +1. 1. F. 12 abcd
  41. od sit parres ipsiat respective
  42. cum 2 e veluli in 107, quaeritur quid + 16A.
  43. aficiat cdefficentem IX, porito X excedere + IB).
  44. medietatem ipsius y+1, ut cum in valore ipsin 107
  45. 41. 1. 5. 151. + 1. 1. 6. 15abedef
  46. = 2. 2. 10. 14
  47. +4. l. 10, 12
  48. +4. 3. 10. 13
  49. Y4. 3. 10. 14
  50. + 4. 1. 10. 15
  51. - 8. 1. 5. 11
  52. - 8. 2. 10. 12
  53. - 8. 3, 10. 13
  54. + 4. 1. 20. 13
  55. - 8. 4. 5. 14
  56. ta his Termriais, maximus celut 1 seponamus ultinum seu maximum
  57. +4. 3, 20. 14
  58. +4. 3. 20. 15
  59. + 4. 1. 20. 16
  60. - 8. 1. 15, 12
  61. - 8. 3. 20. 13
  62. -8. 6. 15. 14
  63. -8. 4. 15. 15
  64. - 8. 4. 15. 16
  65. + 16.2, 15. 12.
  66. +16.5, 6. 15
  67. +16. 1. 6. 1b
  68. seu 1y, et sumamus 1(G.1), 1(Y. 2), (3. 5); in his adhileantur partes iptu 111 = 1. 7. 21 3 y, 217
  69. quaentur per quae multipexetur 15
  70. ipsus 1E, pro(9- 1) demta una prima et una tellim dempe 7. 21. 35. 37. 81.7 absibengut
  71. ocu 2 deratas duabus prims et duabus ustrmus, nempe 21.35. 33. 21, Et pro (Y. 3 et pro appleto - 3 2. 1. 8. I1
  72. semlis 3b9 primis et tubu, ullimis estat 35. 35 Numeri omissorum ex ultimil adubetur 1.
  73. loco supplendi sunt unus idemque Pio (Y - 1) est unio ab y rerum 5, semel ing.
  74. pro (y-2) est binio remm s bis, seu bis 21, pro (y. 3) est 3nio recum y vol 7 ter, Senter 35
  75. et ita in caeteris. Hi numeri hoc modo dispositi, quam tam priore, quam suppreti
  76. ratnales in qui, in totilem biniones sed
  77. totidem tiniones seu timemares g. 2; in totidem zaiones pro y- 3. A suppletus constant,
  78. = 32. 1. 15. 14
  79. +4. 1. 35. 14
  80. ducendi sunt ordine seu resq ectioti
  81. qui sunt ex ipsis iet
  82. 44. 1. 35. 17.
  83. -8. 1. 35. 13
  84. -- 8. F. 4. 35. 19
  85. reperendus, in tot partes x ex poledo 14 pro coeffienta IX vig. in 14, trais contento in 107
  86. t
  87. 8.6. 35. 15
  88. 8. 4. 35. 16
  89. 5ter supplotus, mulliplicatur 1. 4.6. quae suultres partes priores
  90. in 114. Derige adintola
  91. m. 8. 1. 35. 17
  92. +16, 1. 21. 12
  93. +16, 6. 35. 14
  94. 116. 5, 21. 16
  95. 8 +1b. 4. 70.1
  96. + 1b. 1. 7. 1 itquod pro
  97. 1oi ottertaerm 1o 4. b. 2s i
  98. 102 = fF1. 1. 2. H1 (Y F. l. C. 12) -0
  99. +1. 1.3, 12 + 1. 1.3, 13 =12
  100. +1. 1. 7.16 a. 9
  101. NI = 1. 1. 10IC) = 0 11 =C
  102. =8. 1.6) +4. 3. 7.
  103. 8. 1. 4 - 8. 1. 1
  104. +.l. 8. 13 a .M
  105. -28. 21. 15CC
  106. + 1. 1. 9. 18a.. 1
  107. 105 = f 8. 1.5 11 44. 110. 12 2.1. 10, 13 +1. 1.G. 14 + 1. 1. 5. 15
  108. +1. 1.5 1) -8.2.10.
  109. + 4. 1. 56. 15 e
  110. + 4. 1. 84. 16
  111. +4. 3. 84 17
  112. +4. 3. 84. 18
  113. + 4. 1. 84. 19)
  114. +c. 1. 120. 17
  115. +4. 1. 120. 20
  116. = 8. 4. 70, 15
  117. -8. 6. 70. 16
  118. - 8. 4. 70. 17
  119. = 8. 1. 70. 18
  120. s. 1. 126. 13
  121. - 8. 4. 126. 16
  122. -9. 6. 126. 17
  123. -8. 4, 126. 18
  124. 71b. 10. 21. 15=+ 16. 10,56. 11
  125. +16. 1. 126.1
  126. +1b. 3, 126. 3
  127. 1I6. 5 126. 18
  128. +16. 1. 126 19
  129. +16, 10. 126. 16
  130. 116. 5. 56
  131. 16. 1. 56. 18
  132. +1610.2 17
  133. +459065 1g. . 10(=1
  134. +16. 1. 53 F16. 1. 1.
  135. = 201. 15. 14 + 1. 1.6,3
  136. 2310 (8 20 - 2. 2. 104. -2 1. 101.
  137. +1. 1. 90. 19a.. k
  138. -32. 1. 15. +16,5.6.)
  139. 32. 1. 7. 11) 4 16. l. 2113 - 9. 1. 35) 13 +4. 1. 35.14 --.12
  140. +64. 1. 7. 1ar 1 . fib. 3. 3 7. 8. 9. 3
  141. +l. l.11. 2baC
  142. . Esdi 34. 355. (+26. o ha F1
  143. noeit . 35) 154 2 o 2
  144. + 1. 1. 12. 214..1
  145. 24 + 1. l- 13. 23
  146. 2.2.3= = 2. 1. 3,-1
  147. 9. 1. 3 44. 1. 1d
  148. 114=) 19. 1. 4. 11 -2. 1. 6. 12 41. 1. 4, 13 + 1. 1. 9. 14
  149. -8. 1. 4 +42.6. 26- 2. 2. 6
  150. -9. 1. 70. 14
  151. +16. 1. 56. B
  152. Ob = A1B. 1. 6,1)- 8. I. 15.12 14. l. 1613
  153. 32.1.65.) 11b. 2.15.C
  154. 32.1. 15). +1b.3. 20
  155. 8. 3: 20l.93-8. 6151.
  156. = +16. 4 +8.95 321.20= +16. 4. 155
  157. 2. 1.66.20
  158. - 8. 1. 252. 16
  159. - 8. 1. 462. 17
  160. 8. 4. 462. 18
  161. -8. 6. 462. 19
  162. 8. 1. +62. 20
  163. +1b. 1. 252.15
  164. +16. 5. 252.16
  165. 416, 10. 252. 17
  166. 41610,. 25218
  167. + 16. 5. 252, 19.
  168. + 16. 1 252. 20
  169. +16. 1. 462. 16
  170. 116. 5. 462. 17
  171. +16. 10. 462. 18
  172. +16, 10. 462. 19
  173. +16. 5. 462. 20
  174. 116. 1. 462. 24
  175. +R. 1. 220. 19
  176. +4. 3, 220. 25
  177. +4. 3. 220. 21
  178. +4. tr 220. 22
  179. + 1b. 1. 792. 18
  180. +16.5. 79218
  181. + 16, 10. 792, 19
  182. + 16. 10. 792. 20
  183. +16. 5. 7et 21
  184. + 1b. 1. 792. 22
  185. = 2278, 22
  186. x4. 3. 286. 2
  187. +4. 3. 286. 22
  188. X4. 1. 296. 23
  189. = 8. 1. 1287.19
  190. 8. 6. 1287.20
  191. 8. 4. 1287. 21=
  192. = 3. 1. 1287. 22
  193. 4 16- 1, 1287. 18
  194. +16, 5. 1287. 19
  195. +16, 10. 1287. 20
  196. +16. 10. 1287. 21 +
  197. +16. 5, 1287. 22 34 11 11
  198. +16, 1. 1287. 23

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 256r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0511?run=74