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Leibniz-Handschriften zur Jurisprudenz LH 2, 5, 2, fol. 4v

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: 0.82.

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. 5r); this page is its left half.

The machine reads it as

  1. datio tum per anticipationem
  2. n
  3. n
  4. primi an aun componitur ex omnibus illis summis et praeterea
  5. ipsa pensione eo anno de 1000 nummis caedua seu perteptibili seu 50
  6. quae est 50. itaque tota prima pensio erit.
  7. 50 + scx 50 (3 s0o:os: P, = ( 1100. 125 = 50 (2100. 105 : 1 - (C2. lio0. 105. 3C + 50 ser 6 o8. 105. 1 - p. (100. 105
  8. 1- ((21) (100: 105 erit 50+ 500)
  9. t ergo opus est inveniri quantitatem seu summam terminorum numero
  10. finitorum progressionis Geometricae, quorum primus est 13)100: 105, secundus
  11. vero est 14) 105: 105, ultimus denique (2+ (6)(100: c05. quod semper fieri
  12. (2. 3) 100: 105 - (2 + 4 + (6))100:105
  13. 135100: 105 - (4 100-105
  14. B) 100: 105 - (3 + (5](100: 105
  15. 5: 105 aequ 1 : 21
  16. Ergo tota prima pensio tandem erit
  17. c
  18. a lequ. c+ 5 +g.
  19. Et secunda pensio erit e 21100
  20. 50 + 1050 (2+ C 100 : 105 = (2 + (6) 4(7) 1100: 105
  21. Et tertia pensio erit 50 +
  22. aibrc: ersig:: a. P.
  23. Quas aequationes ut resolvamus ideo compendis lausa, seribam
  24. (pro 1050, c. pro (3) 100: 105, d. pro (3+6) 100: 1 0s, e. pro B3 + (6B 100 0r f
  25. Unde patet P et q ers non quidem omnino pro arbitrio posse assumi
  26. alioqui enim et pensio de mille annis solvi posset quantacunque
  27. triennio extinguibilis, sed tamen admodum et infinitis quidem
  28. (2+(6) +)1 100: 105
  29. 1 81 eM ess1ovitos 1-. (E) r7) H8) r0B.:105 1- ((8) 16) H 8 sicv. 105
  30. B ((7) (100:105
  31. aequaegu
  32. aqu
  33. G+D
  34. Ergo ) (6) (100: 105 aequ AFE, seu (5) log. 100 - log. 105 aequ log. A +E
  35. seu (6) aequ log. A+E B: 1og. 100 - log. 105 v
  36. et (7) qu. log. AFE+F : log. 100 - log. 105
  37. et (8) aequ. log. AEHFAG : log. 100 - log. 105
  38. Est aulam A aequ 13 1002ros aego A- A (5, H
  39. Aaequ. C: 1- g rursus AF aequ Cg 1-g - E- FG
  40. Ergo C aqu cg - E+F1G. 1- g seu CC FFGd
  41. nempe vel erit Caequ = E+ F+G. umque c. sit quantitas positiva
  42. debebrit E+ F + G esse contra hypothesin, ponimus enim p esse
  43. affirmativam et majorem quam 50. Ergo erq erit affirmativa
  44. a multo major quam 50 et, s affirmativa adhuc multo
  45. major superef erpo at Aciamus 129 qu. 0. seu d equ. 1
  46. Auqu. A +E iis Ergo
  47. Unde alterntium faciendum est,
  48. seu C_=9 aequ - E +F+G 1-9 vel erit 1-g equ. 00
  49. modis posse variari. Notandum autem si p. q.r crescant, debere
  50. necessario etiam crescere ipsas qua numeros 6.7. 8. Patet
  51. esse differentias seriei
  52. 12+(6))100: 105
  53. A(C6) 108: 105
  54. raG+e
  55. aequari ptar sive)
  56. cf - ce9
  57. etiam quantitates p- 50: f1050, et 4.50; 1050, et s- 50: 1050
  58. vel potepit scuibi
  59. EFF+Ged
  60. aqor bo Ast daequ
  61. -Br nC: 1-D
  62. 1050 (2+ C1 + (7) (100. 105 - (2 + (51 + (7) + (3)) 100. 105 quae debet
  63. aureis asignam
  64. et ita porro, (si plures reperiantur,
  65. cujus termini sunt: (3(100:105
  66. et ita porro.
  67. A.
  68. aequ
  69. dd et arhrcedaequ. aalatare
  70. a jam eaqu.
  71. Ero atb
  72. ontp Za r eca B , rm - (61 +C7I H8) ( 100. 105
  73. vot e+ que equ.
  74. .
  75. a.
  76. ( + 1050 B) 100. 105 - (2t C)I1VO,1Oqu debet aequari. p
  77. 1(5) Hr ,8100. 10s
  78. 1 - (10. ( +) (200: 105
  79. 5 1. ( (1
  80. pro ((6) + (71 4(8) (100: 10), g. et
  81. -d
  82. vel ex, 50, 1100. 105 , B 1n0: 1v5 + 5 1100. 005 HC + 12+ (0) 100: 105 -. seu 50 + 50C = seu quia (21 aequ. (1) () )
  83. 1 - ((2 11) 100: 105
  84. potest eritque 0 aequ
  85. en O aequ.
  86. 2a, 105a
  87. 5
  88. u
  89. nempe (3 (100: 105

Cite

Leibniz-Handschriften zur Jurisprudenz LH 2, 5, 2, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068407:0008?run=74