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Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 32v

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: 0.85.

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The machine reads it as

  1. Oplune rem designabimus numeris dimensiones repraesentantibus:
  2. 1b
  3. sit 0 X + 1 X + 2 X + 3 X + 4 X + 3 X + 6X + 7 X + 8X + 9 aequ. nihilo
  4. ilem sit 10 X + n X + 12 X + 13X + 14 X 4+ 15 X + 16X + 17 X 4 18 X + 19. rgo nihilo
  5. abi nou
  6. 40. 11 40. 12 +0. 13 40.14 +0.15 +0. 16 40. 17 40. 18 40197 (3)
  7. - 10. 1
  8. +0. 19
  9. -10.9
  10. - 10. 2
  11. +1. 19
  12. =11. 9
  13. quas aequationes
  14. aequ. nihilo
  15. =10. 3 -10.4 - 10.5 - 10. 6 210. 7 -10. 8 - 10.9)
  16. +2. 19 +3. 19 +4. 19 45.19 +6.19 + 2. 19 4819 jaequa nitut
  17. -12. 9 - 13. 9 - 14. 9 -15. 9 - 16. 9 - 17. 9 - 18.9)
  18. 3 et 4, compendiose sic exprimamus, ut statim
  19. tum dimensio tum etiam significatio appareat
  20. 2
  21. 03, 04 05 06 07 08 09 aequ.. . .
  22. e
  23. 94
  24. 95 96 97 98 equ...
  25. uende statum scribere poterimus aequationes quartam quintam et sextam
  26. ta OI92 O orge egs eg6 brst sgr
  27. X
  28. 401.91 +01.92 +01. 93 +01.94 +0195 +c1. 9b 10197 101. 98 ag.
  29. 9202- 90. 03-90. 04 290. 05 -9. 06 -90.07 -90. 05 -90.09
  30. (6)
  31. 2+01. 98 02.98 03.98 04. 98 05. 98 06. 98, +0798 08. 98 2 aqu.
  32. 6 -90. 09= -9u09 - 92.09 - 93. 09 -9409 95.09. 9609 -97. 09
  33. + 1029. 139
  34. n i v-0. d
  35. X 0049 0039 0049 0059
  36. 0099 0199 0299 0399
  37. 0069 007g 00sg 0099 aequ
  38. nihili
  39. 0499 40599 0699. 0799 aequ itulo
  40. 003949 004999 005999
  41. e seu
  42. compendiose
  43. aequ nihilo
  44. Puto ex his, non difficuller haberi progressionem. Termini primi Aequationum 1. 3.
  45. sunt 8.
  46. ordonatus
  47. 4011
  48. -1. 10
  49. Melius puti enuntia
  50. buntur omnia es
  51. incipiamus semper
  52. ab altioribus terminis
  53. non adhibitis initio
  54. ulitimis, sed non
  55. ita brevitere ad calculum
  56. venietr
  57. +0. 1. 11. 19
  58. - 1. 1. 10. 19
  59. +1. 9. 10. 11
  60. ∞, 9. 11. 11
  61. 40. D.1219
  62. = 0.2. 10. 1
  63. + 2.9. 10. 10
  64. = 0. 9. 10, 12
  65. 0X + Y X + 2X + 3X erc aequ nihulo
  66. 10X + 1 X + 12 X +. 13X etc aqu. nihuilo
  67. 4(00 + a +3 2 er aeqo . ex 1. et 2 add
  68. +10
  69. in ir
  70. TA. ∞) + 18.1 +122 H0. 3 J ex a. et 2per hucem Mull. et subti.
  71. =B. 10) = 9. 11 -0. 12 - 0. B
  72. +10. 1 +10. 2 + 103 + 10. 4 ex 3 exaltata
  73. 20. 19 80. R 80. 13 40. 143
  74. +0.10.0 + 01et. +0.102. + 0. 10.3
  75. 40. 0. 10 +0, 0. 11 +0. 0.12 +0. 0. 15
  76. +10, 10. 0 + 10. 10 +10. 10.2 +1
  77. +10. 0. 10 410. 0. 11 4 10. a12 410. d 13
  78. 10
  79. aequatio quadralica
  80. Meota. tota C scribi
  81. pt compendiose pe
  82. per: 40. 1. 1. 9. = 0. 0. 2.9 vel d0399 00gge equ0
  83. haec enim quater variari
  84. possunt, quia semper binis
  85. praefiri possunt 1. veli
  86. binis simplicibus marcalibus
  87. deleminandum per regulam,
  88. quomodo debeant pomi signa
  89. plus et minus
  90. idem inquavis termino numeus
  91. trmensionum et coefficientuu
  92. vel 9049994 + 005999X g. 0.
  93. eqniones
  94. literaum
  95. bto omni-
  96. optrimum incipere
  97. plane ab ultimis
  98. et Mulliplicative
  99. eos sollere, ita
  100. e
  101. sine depressione
  102. Ccum summa
  103. dicarum laequa-
  104. tionum combinetur
  105. vel cum altentra
  106. ad id siet
  107. si nempe jam depresse
  108. cursus cum alteratir
  109. Ninetur habentur
  110. duae depresse
  111. ex tqvibus tribus depssi
  112. habebrinus duas
  113. bis depressas, et
  114. ita unaniter
  115. depressam nosi
  116. 0029 significat omnes combinatiores quatua literatum, quae o
  117. faciant simensiones H. lanemnt expresso insit guel 19
  118. lnvenes detennigile salie arte tte r tanturis re dm sunt
  119. aequatio, semp
  120. sed relinquatur
  121. undecim literae autem quatuor ingerventes quae tagedi
  122. possunt 0. ver 10. 1. 11. 2. 12. 9. 19. ea
  123. une deprimetu
  124. no gradu
  125. bis. si nem
  126. 5
  127. le duaebis
  128. depressae con
  129. cident
  130. dd prefixa
  131. 0.3
  132. 02
  133. = O. 12
  134. 10. 2 10.3
  135. Cermini secundi
  136. +0. 12
  137. D. 1
  138. per o entelligitur cgenaque termn
  139. ullunque per et quicunque
  140. senullimus
  141. CX F F aeq. 0.
  142. quo casu pro 9n scuibi
  143. +0. 2, 11. 19
  144. i2
  145. 2. 10. 10
  146. 40, D. 13. 19
  147. -D. 3. 10. 19
  148. 43. 9. 10. 1D
  149. = 0.9. 18. 13
  150. vorg +0039X aequ0
  151. en.
  152. suatoria
  153. 10. 12 10. 13
  154. debet 2 seu erit
  155. +0.0
  156. +10.0
  157. - 10. 10
  158. =011
  159. 10
  160. -10. 11
  161. 10. 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 32v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0064?run=74