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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 344r

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: 0.78.

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. 343v); this page is its right half.

The machine reads it as

  1. o= 91+IIa +21b +31C ex ∞4. 15
  2. 0= 02+12 a 122b+32C ex aeg. 16
  3. o= 03+13a+29b +33C ex eg. 17
  4. l
  5. 1= 2 13 =h
  6. O1 = 2. 16. 520 - 2. 30 - 240 11 = 318 15204 5a. 130 2 = 2. 30. 510. 530
  7. O2= 2.13.530 -220 -2. 10 12=220. 520.530
  8. 63- 2. 552 6. 630-2. 10 - 2.40 19, -2. 10.510530
  9. 13. 2i 3i
  10. 31 = 2. 30.510.550
  11. 22~10.516+ 20. 520+ 39336 32=2. 20, 510. 520
  12. 23= 2. 10. 510. 520
  13. ubi oanes simplices u termini non nisi n
  14. 33 =F0, 510 + 20. 520 + 30. 538
  15. Obi omnes litere velorem habent auius membri preter eas quas
  16. et 11, 22, 33 sunt copositi ergo earum
  17. impediantur et, et, ot, et
  18. ubi valore, ipsarum 01, 62, 83,
  19. ex solicatio differatur, caeteris ergo explicatis fiet
  20. = 8.10.20 3. 90. 520. 170)
  21. + 4. 10. 30. 510. 530, 10. 510∞. 520+ 30.130
  22. +4. 10. 20, 510. 520 10. 1d1 20. 520830. 53d
  23. 61. 10, 2030. 90. 52a538
  24. 3(. 10. 510 10. 5id 138. 5d
  25. 20 qu. 3rd. Be e i sio s
  26. +4, 18 5105, E3OH -4. 600510,525gC
  27. 3.40, S10. 52M = 4ba. 510. 50. 2
  28. 520 53C) 49 360 5IB. 520 5d)
  29. =4.40+ 10. 51d 12.1020) f2, 000. 20. 570R
  30. L2ionosio Sib tEtoge uis E ro2sosio 3 6.
  31. 18 20. ga to. 310. 10) . q uno sed su
  32. 403. H. L2= =420. 30528536 13
  33. - 03. 12. 21 = - 4. 2030520.530. 03
  34. e1. r2sso = id d peio nd
  35. a
  36. -13 2231
  37. 119. 20. 519, 5210,
  38. 3.18. 30. 310. 530
  39. 3. 10. 25. 510,530
  40. 3. 20. 30. 520. 53
  41. (3. 20. 30 520. 536
  42. = - 14, 1B 2c. 515. 528, Gorsti 2 Sd 4 3aso 10. 510
  43. = 418. 1. 518. 530)0. pi t 1e s9 130 330
  44. itaque tandem fiet:
  45. 250
  46. 2( 230 =
  47. elo aeeu acentens instirioe, ut ro cete
  48. e dem modo tractentur
  49. Unte simliter habentur 120 puo, 0 eto porntado 1010
  50. -20. 30. 31b. 530
  51. Calculatio hujus paginae etsi non minus prolixa quam paecedentis tamen in eo praeferendus est
  52. = 20. 3. 52, 530
  53. Nominator autem in onnibus his valoribus est idem
  54. ubiquse in medio quod ut ubique in media operatione leges justitiae servantur, quae
  55. paginae non ubique apparent, etsi postremo sub exitum rursus apparere debeant
  56. unde etiam in etror ibi admissus, quem aliquotres licet respiciens non deprehendi
  57. Eodem modo ex irationalibus ob V habentur valores ipsarum, 120, 130, 230, tantum pro 10, 20, 30 po-
  58. et si subesse aliquem satis viderem
  59. neudo 11, 21, 31. et pro 240 penendo 2. 4 + b; et pro 000, ponendo 001. dit ita fuot
  60. 2.+ 41+. Ll. =00. 510. 52b, 4. H. 510, 5. 30 11. 510 = 21. 5W 141. 238
  61. 26 222 27 41r 2 b 001. 51a 530, 14. 1L. SIa 10, 1131
  62. (24) 11 + 40 L. b = a1. 5pl 520, 23 h e s1B sEC + 21. 1. 3, 5. 5) 5 - 2. 2. 31528. std
  63. 5eo 4317. 53
  64. si
  65. 230= p 510 = 11. 1. 510. 51 + deces 1. 21. 31515. 520. 330, =. 1251
  66. +23546 = II. 25. 510. 520
  67. pro 2p. 3( ponnt + 31. 535 - Ho 31. 518. 630
  68. = H. 35 510. 510
  69. = 21. 31. 520. 530
  70. Et 15d pro ei ospuou
  71. jam bines valores ipsarum 120, 130, 230 aequando interso oportet aequare inter se
  72. - 21. 31. 528. 570
  73. 120= = 1200, 1230 13 =1300: 1230
  74. et 230 2 2301 2 1231 et 2 1202 1201 : 1231 et 130 2 1301 : 131. Et pet
  75. 2300 = 1230
  76. causa sib ex aeq. 21 fint 290 =
  77. quoniam licet novam facere arbilravam latentem in ipsis. xab et i X b, ac, in, an latentem
  78. 1230: 1231 2 2300 : 2301 2 1300: 1301 = 1400: 1201
  79. arit forta liceset facere hy pothaesiu servientem ad compendiam calculi, ut si h = 0 = 11= 22 = 33, licet
  80. id nis facial incidee in imaginarias.
  81. ad o lu 170 cano
  82. +G. 10 20 0. 5ub. 110
  83. + I1it2: BC
  84. +ol. 1223 L 4. 10. 20. 510. 520. 530. 01
  85. -ol. 13. 22 = ∞ - 2. 10. 510. 538. O1.
  86. =62. 11. 23 = = 2 10 510. 52
  87. +02. 13. 21 = + 4. 10.30. 510.520, 538. 92
  88. = 10. 30 520 3t0, oi aap ite 1 0 pso (101 10)4 20 17d 430 530
  89. 20 + 40 - 660. 51 530, 4. 10. 510. 520, 110. 510 + 20. 520 - 30. 530
  90. 410. 510 + 28.528+ 38. 530
  91. 10 4 40 - 000. 520. 530, 2, EF, vo s eitiso ge. Sid. 19o - 7. 20 30. 528. 36
  92. + 10. 51 - 10. 10. 51. 52 L(, decies 10. 20. 30. 510. 10 538 = 1210
  93. -10. 20. 51.520
  94. = 16.30. 510. 530
  95. = 10. 38. 510. 530
  96. A30 + 40 -000. 510. 520, 4. 10, 510,530, +r0. 510 - 20. 520 + 30.530
  97. calculo prioris
  98. = (+8. 10. 2030. 518,520, 530
  99. =+8, 10. 20.30. 510.528. 538

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 344r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0683?run=74