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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: 0.89.

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The machine reads it as

  1. Righe again, and it makes 4456320, ortich i
  2. ihie Number nearty correspondins W Lo
  3. rithm 6. 648976.
  4. Addition, Substraction. Mulriplicatior
  5. and Division in LoBacichins.
  6. 3. In che Addicion oF cvo or more Locarichms
  7. rosechier, obserre rhete Rules.
  8. 1. H all che tndices be Incexers, acdl chem 25
  9. is usual in common Arithmerick.
  10. be Carried in Mind are asfirmatire, and are rO
  11. er Fractional Inde
  12. Obserre whether che Dirisor will eventy di
  13. 2. Ff the Indices be some Inregers, and some vide che Index, rhen there is no Difficuler; bur
  14. che Indices oF Parrs, Or Fractions, pher ill be il ic do noc erenty diride che Index, add 1o che
  15. untite; and cheretore it wrhen added cheir Sum Index Co mani Onites, eill it may be erenty di
  16. bero, or abore, cast aar 10, the Remainder vided, Setrins che Ouorient donn for a neu In.
  17. is che Index oE Inregers; il under 10, Decimat
  18. PattS. TmuS,
  19. 2. 237242
  20. 9. 875062
  21. 8. 698972
  22. 0. 811275
  23. dex, augmentins the next Figure by (o many
  24. 2. 440470
  25. the Sum; it just r0, then add Unitr; it abore
  26. 10, Cast 10 avay, and the Index chus gorten is
  27. 9. 875062
  28. 9. 87506F
  29. 8. 574033
  30. 4. Substraction oF Losarictms.
  31. 1. H rhe Indices be Integers, then proceed a
  32. utuallr.
  33. 2. It che Indices De cirher ot them, or boch
  34. 3. 80614
  35. 8. Muliplication os Numbers by Ehe Locarictms.
  36. Add the Locarithms oF the Numbers tOsC.
  37. cher, and che dum is the Losarithm oF the PrO.
  38. 3. IE che Indices be all Decimals, and when duct required.
  39. added make a Sum under ro, then add 20rO
  40. alvars Decimat Parts. Thus,
  41. 3. 39794I
  42. 3. 273003
  43. 8. 698972
  44. Mutriplicand 32 1. 505150 5, 12 0.709265
  45. Mulciplier 52 1. 316003 1. 55 0.899497
  46. 1664 3. 221253 7.936 0,899497
  47. 9. Division of Numbers by Logarichms.
  48. This is done onty by substractins che LoGA
  49. rithm oE che Dirilor Erom the Locarithm ot che
  50. Dividend; and che Remainder vill be che Lo-
  51. sarithm oE che uorient.
  52. Dividend 7286 3. 862489.5512 9. 654369
  53. Dirisor 32 1.505250 0315 8. 4983IF
  54. Decimal Parrs, obserre Whether che Indez oF Ouorient 227. 8 2.357359 14. 32 T. 156058
  55. the upper Ouantiey be a Tinaller Numbex chan
  56. that oF the Suberatend or the lorver; it ic be-
  57. add 10r0 ir; and is che upper bc oF a greater
  58. Valve than the lorver, (thar is, 2 bisger Index
  59. by Place) chen che Remainder will be Incegers:
  60. it nOE Decimal ParES.
  61. Examples.
  62. 10. Extraction of Square, Cube, eC. R0ot5
  63. by Logarichms.
  64. To extract che Square ROOFOF any Number,
  65. is t0 divide the Locarithm oF char Number bY 2
  66. For the Cube Roorby 3, (90. That is, in general,
  67. divide che Losarithm oE che Number by che In-
  68. 2. 03342F 9, 875062 9, 875062 2. 235781 dex ot che Pover.
  69. 9. 875062 2.033421 8. 574031 3,572141
  70. Number 75832 L05. 4. 879852
  71. Tor the
  72. 2. 158359 7. 84164F 1. 302031 7. 66364059. ROOF 275.37 2) 2. 439926Z59. ROOI.
  73. 5. The Logarictm os a Fraction is thus found.
  74. Cube ROOT 42. 327 3) 1. 626624
  75. Subslract ihe Locarictm oP che Denominaror 2I. F0 find a mean Proporrional vetmixt emo siven
  76. Trom the Locarithm OF the PHUMeTATOF; che Re
  77. mainder sires the Locarithm of the Fraction,
  78. 25 0F3; The Locarithm OF 4 15 0. 602060, OUF
  79. OF C Losarithm OF 3, 0. 477121, che Ditlerence
  80. 9. 875061 i5 che Losarithm OF Z Ox 75.
  81. 6. To Mulciptus a Loxarictm.
  82. IF the Index behegarire, obserre tharin mul-
  83. Numbers, by Logarictms.
  84. FTalF the Sum oE cheir Locarichms gires the
  85. Losarithm oF che mean Proportional betwixe
  86. chem.
  87. 0. 954242
  88. TheNumbers ae Z , 6 1. 204120
  89. Sum 2. 158362
  90. iplsies che Fioure neac che tndea, ihe Leno 10) Mean Pcoronional 12. i L = 1. 079181
  91. de decueted out che liouner F elle hegatire
  92. Indicco. L
  93. 2. 5452TF
  94. 5. 62963
  95. 7. 563210
  96. 2. 057827
  97. 9. 641031
  98. 1. 902T4
  99. 1. 936070
  100. 7. Fo Divide a Logaricum, havine a Nesative
  101. times 10 as rou added t0 thc first.
  102. 3) 5. 321412 2) 5, 62228

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/806933011:0480?run=74