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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 170r

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: 0.79.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 169v); this page is its right half.

The machine reads it as

  1. 40l = (2oll= 20. 3ol m + 30 ln)
  2. 4= 2. 20. 21 + 20.31 m + 21.30m + 2. 30. 3 n, : 40l = tot differamus 30, 31; 32, et consichremus
  3. 41 = 2. 22. 2 l F22. 31 m + 2132m + 2. 32. 31 n, . v42 l - f. vel solum 20, 21, 22,40,41, 42.
  4. = 22. 3(m 4 2. 32. 31M :+2. 20. 42l 4 30. 42m
  5. 2I = = 20. 381. = 2. 30. 319
  6. 2. 20. 21l. 2. 22. 21l +2.20. 21b 22 3m 4 2. 20. 2) l. E1. 32m 4 2. 20. 21l. 2. 32. 3In
  7. 1. 20. 31M. 22.31. m 1. 20, 31 M. 21.32m
  8. l, 21.30m. 223 1m
  9. 1. 21. 30 M. 21. 3rm
  10. 2. 30, 3(N; V3M
  11. 1, 20. 31 m. 2. 32.31n =C)
  12. 1. 21. 30M 2. 32. 4n
  13. 2. 30. 31 p. 2. 32. 2n
  14. aequ sed haec nimis prolixa
  15. 2. 30. 3IH, 22. 2M
  16. hotn
  17. 40 = 20l + 20. 30lm + 30In sit 5b + 40 = 20+50, et fiet 20+ 220 10+ 50 l - Wulrazolm
  18. et fiet 20= 5oll- 30 n,: 2.30l s 2 30 m - 5oll seu 20 = sol- 30n, :, 3om - 2.50
  19. et pari jre (42 = 22 + 52 et 10 22 = 52 - 3En :, 32m - 2. 52l
  20. +40 = (70 - 3on 4 30. 50m - (2, 50l, :, 3om- 2. 58l
  21. +)42 = (529 - 3 En + 32. 52m = (9, 52. 52l, : 32m - 2. 5rel
  22. Hae ex Temunis pumo
  23. et ultimo
  24. Ex Termino 2do fiff 40 = 220. 4l2 + 20. 3, m + 2130m F2.30. 3In, : + 2. 41
  25. Et duos ipsius 4) valores aequando, fit
  26. 1+ 2. 20. 21 l. 30m
  27. +293Im. 30m
  28. = 20. 31M 250l
  29. + 21. 30m. 3om
  30. = 21. 30m 2. 50l
  31. + 2. 30, 31n30m
  32. =2. 30.3112 2.sol gi7 4 2, 3oa a x soneso l
  33. +, 42 = 2. 2. 2el F 1. 2. AM + 1. 32. QIm 4 2. 31. 32a,:, (1)2.41. Et deos ipsius De valores quodo fs
  34. Rurjus ex Termino penultimo tit:
  35. 42. 2422 luem + 1. 22. 3Im Vm 4 1. 32. 21m 3en + 2. 31. 32n32m
  36. 1329m. 2.sil -2. 310n 3 set 3: , 2, 3 En -3. 32Mt 52
  37. sed quia a aequardo hos duos valores ad non necessariam ascenderetur prolixitatem, ieo quia
  38. _ = = 2.21. 22l252l - 1. 12. 31 2.52l
  39. in terminis penultimis non occurrit 42, ideo retineamus aeqta valorem ipsius 2, paulo ante
  40. inventum, qui est, et ibi qu contrahendi causa quaeramus 22. 40 -22. 41, et fiel
  41. +22. 40 = 4, +30n. sil 30 homsil 450l sisti, 30m - 2. sal, 32n - 252l( 26052 1319
  42. si + (+) ( 36n3 En)
  43. -2. 22.90l = 32. 40 m
  44. si esset 41. 414 2, 40.42 =0, foret OD 1H a0 qu’H = 0
  45. 2. 30. 31 n. 2. 2221l
  46. 2. 20. 21l 250l
  47. +32.40
  48. Ergo ex aeq. 5 fat mattilicat pert, fiet
  49. 42 = 1ill + 2232 lm + 3E ln)
  50. 41 = 4 20. L4 20 21. d m. + 4. 20. 2 23du Ex duobqualoribus ipsius H1. fit
  51. ait ida
  52. 1. 20. 3M, 2 22. 2l
  53. 1, 21. 30m. 2. 22211.
  54. -30. 92
  55. + 32A50l
  56. zen zon
  57. + 30 50m3 2
  58. 3252m sil
  59. (+32. 307. 34
  60. + 32.52M 30n
  61. - 32. 30 n2. 5iI
  62. (A q0. sE a zom
  63. 3. 3en 250
  64. asol n
  65. aso sntgotum
  66. S2l 3n 1:, 30m -2. 50l, 32m - 2.52l
  67. +5et col
  68. -32. 20. som 32m +32. 50l 3 2m: 3om -2 5ol, 32m - 2. 52l
  69. (+32. 30. 5om 2.42)
  70. = 30.5C32m 3m
  71. (3032. 52m 250l
  72. Ergo landem fiet 21_: 31 = , 2(30. 52 +. Jigob IM
  73. -50. 5t lm- 70. 32 ma.
  74. 32. 50 l2.52l3
  75. 4 30gt 30m . 3om -2. 5ol, 32m - 2. 52
  76. 2s 250l
  77. D30. 3ummn - 4. 20. 3E lnn
  78. 2. 30.52 Um - 2. 303 clan
  79. = 30. 32m 3- 2. 30. 32 mn
  80. Ergo landem 21 =
  81. = β30. 52 + 3250) Cmm (F 2 50 sillm)
  82. 50. 92l - 20, 32n In q
  83. in pituo valore ipsius q primum explicemus 20,
  84. 4 +2. Elgel Ahemsol
  85. 2. 21on s dan 3on
  86. t (2. 50 l 2. 32M
  87. An prestabit dissim
  88. r o
  89. sibstitamue hunc valorem fiet
  90. tom
  91. =Whom 2id 23031n 2. 50l.
  92. are explicationem 20 et 40, et prim 3 valor, piu 4) dos
  93. 30.sil 73. 30n. 30. s2b 9:, 4. 40l, 30. sil 232 sol. 30. 32m. sed video
  94. superest utsima aequatio t nempe medii termini
  95. B05er so
  96. iponento
  97. Valorem fit
  98. Lonrap
  99. ulopene Am, 32. g2. 40
  100. icetur 20 quoq
  101. ajoris securitatis causa videamus a
  102. non multo megorem esse prolixitatam
  103. secundo
  104. qualores in ventos, idem puideat, quod ex primo valore ipsius A, uti certe oportet.
  105. oim on. doges ante quam id sactamu
  106. et tu cum peta tanuoa e at nen
  107. ipsius at valore sub initiam hujus paginae, pro 20, et 2
  108. 43032min
  109. - 30. 32n J In - mm)
  110. 4 50. 52d
  111. = 30.521
  112. e
  113. 21 = 12. 50 llu sil (qp. sogl) et Zomnsosil Ligo. colui sosil (18olm los. 3orano ul re colu. 30. sil 7.
  114. 2130 3om
  115. substatuem
  116. 230.7dn
  117. visosi
  118. =(2oget 3raosntitosels En, : 27l + Z m
  119. 4 30. Zemm -3. 30. 3 uln
  120. -5052lmm (-30. 32 mmn) =2 (30. 52 + 32.50) 1mn) +4. 50 selln
  121. seu - 210 A 2 (20. 52 4 32050) lnn
  122. +4 (2. 52 +3250) Un
  123. 30. 52+ 32.5ol= 30. 32m
  124. curs
  125. FBosrtreso)l 2 (a ln - ma)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 170r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0339?run=74