Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -

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.

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

The machine reads it as

  1. IVhence Tis plain, Thac Compound Interest
  2. Orounded uxon a Rank oF Gcomerrical Proporrie
  3. nals contimued; che laA oF wrhich is knomn by chie
  4. Numiber signitied bY (1) and i5 at.
  5. Seconcly, 11: at : : P: Z. Freo P at = Z.
  6. THat I5, As one Pound: Is to the amount os one
  7. Pound for any time proposed : : 50is 10, 100, 1000;
  8. or anx sum proposed: To its Amount, for the same
  9. time.
  10. Fromchese ivo Proponrions, che General Theo.
  11. rem P aF: = Z, is susticienty demonstraced, and
  12. max be cleartys understood.
  13. Ouest. 1. Suppose 250l. Bath been at iInterest se-
  14. ven Tears; What doth it amount to, at 6 Per
  15. CCnI. per Annum, Compound Incerest.
  16. Hercis siven P = 250l. 1 = 7, and a = 1. 06.
  17. FOr 100 : 6:: + : 1. 06 = a the ArA YCAF:
  18. Then il a be involved (0 otren, until is Index
  19. t, viZ. a = at; ahd chen mulciplied into P
  20. ic will produce 2 25 appears bY che ThCOreM
  21. BAE a = r. 06, involved 7 times = +. 50363.
  22. And 25OX 1. 50363 ==375,9075 =Z.
  23. From 250 l. havins been ar Compound. Interest lerer
  24. Ouest. 2. Suppose 375L. 18 5. 2d. vere to be paid
  25. Seven Tears hence; What is it morth in ready
  26. Flere vou have siren P = 250, 2 375,9075,
  27. and + == 7, E0 finc a.
  28. Generat Theorem, P a. = Z, F.r50 . = at.
  29. Thac is, at = ar, conseguenelys V 2. = a.
  30. Buc p (= 1. 50363 = Ca
  31. Thac 18, 375 l. 185. 2 d. is che Sum produced
  32. Tears, (25 abore propoled.)
  33. Let a = r - c.
  34. Thenri F 9r6 c F 21r5 e0 = a = 6.
  35. 7 r2 ) - r6 c - 315 ec =
  36. Dere io siven = = 375.3075, 5 = 7, and a =
  37. 1. 06; e0 find P.
  38. r0. L 3CC = - : rr = D.
  39. Etence chis Theorem, 7 - ( 3c=
  40. General Theorem i5, P at = 2, cheretore = P. -F 30 = . 18
  41. Buc a = L. ob and involved 7 rimes = 1. 50363. Dirisor = 1. 18
  42. Ane 375. 9075 (= 250 = P; chacis, vorch 2501.
  43. 1.50363 ready Money.
  44. Ouest. 3. Suppose, 250l. hach been at Incerest, tna
  45. the Amount 15 375 l. 185. 2 d. at 6 per C enE
  46. Compound Incerest; Non lons hath it been
  47. Here is giren, P = 250, Z = 375,9075, anc
  48. = 1. 06tor one Tear; chence to find t, che In
  49. dex ot che Povet OF a.
  50. Generat Xlcorem, P at = 2. F.r80, X = a1.
  51. Consequenely il at be continually divided by a
  52. unil it become : = r, ihe Number oF such Di.
  53. visions will Be F: For such Numiber oE Dirition
  54. discorers hon ost a was involved.
  55. e
  56. 250
  57. And L. 30363 ( = 1. 418518.
  58. T. OC
  59. 1.418318 (= 1. 338225.
  60. 2.06
  61. =C
  62. =rr. Lr0 +300= 75
  63. Mones, abatins 6 per C ent. per Annum, Com. Letr = 1
  64. Pound Incerest.
  65. Forborn?
  66. AICC
  67. Firs r = 2
  68. F e = . 06
  69. Nerr = 1.06 = a
  70. THen F : 2. 06 : : 200: 6 = the Rate OF che In-
  71. cerest required.
  72. 182. 5 D275, 4 == 273. 75 Days, and lo tor any oda
  73. Numiber ot Dayschar Falls becrixe luch erem Parcs
  74. And sOOn,
  75. ilt s acome
  76. 36=1, Wrhich wil
  77. be ac che sevench Operatior
  78. Then will + = 2. ihe Numbex oF Years requi-
  79. cd.
  80. Ouest. 4. Supoese 250 l. Bato dct sorboen sever
  81. Tears; and the Debtor is willine to sive up boch
  82. Principal and Interest, ossets 375 l. 185. 2 d
  83. 2o be cleared; Wat a o Interest per C Cnt
  84. +o the Creditor.
  85. (allorins Compound Interest) doth he hereby offer
  86. 1. 50363 =6
  87. 214804 = = (7: p
  88. 142857 = 7r
  89. ojigni = D (06 = c.
  90. 21480428 = 7 C
  91. .16051432 = 76: r5.
  92. .16051428.
  93. 000000004
  94. Bur il in any Ouestions, cither oE Interest Or An-
  95. nuities, che cime siren or (oughe, be noc cermina-
  96. cel by whole Tears, bul b Mecao Mths
  97. OuarEeES, TTaIF- VCAES, ThECC OUAKTEES, (9C. FOF re=
  98. Colrins such Duections, tirst reduce such broken ox
  99. FraCCIonal PaTIS OF the Tear MO La)S, oI L. 5
  100. 7D435, 72 = 30. 4 255, = 31. L3 215, = =
  101. Ot le Vear.
  102. This donc, sind an Ansiver, accordins co the
  103. Demand oF che Ouection (and agrecins e0 onc
  104. Pounc as vetoe) lore Lbet t ie Dass p
  105. Poled.
  106. chis tollomins Ouection.
  107. To vertorm which, it will be requisireto retolve.

Cite

Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0447?run=74