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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: 0.84.

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The machine reads it as

  1. Position E
  2. Double 16
  3. Position fase. Conctus. crue
  4. l. 28li 3: 220l. : 20l. 1
  5. 40 B
  6. 160 C.
  7. Ducat pa 64
  8. boch - J) andche Remainder 28 is cheDiridena.
  9. and the lesser Frror r substracted tromthe srearer
  10. ErrOr 3, leares 2 For the Dirisor; the Ouorient
  11. oE which Dirision ill be 14, che. Numibet
  12. TOUBHE FOT A. and then by consequence B. HIIIIC
  13. have F0: For2 taken trom 10, and added ro 14
  14. 220 ProOF. make 16 = twice 8; 2 raken From 14, a
  15. Pur 10 50, makies r2 boch alike.
  16. Fixst
  17. Positio.
  18. Ar01
  19. 20 Position.
  20. 3. I- Error.
  21. Ouection, then For more lacilur in Proccedine
  22. calce such a Number for the Position as may bc
  23. equally parted by che Paris exprest in the Oue-
  24. stion.
  25. In Ouestions propounded, ic happens some-
  26. imes thac a Number Aands unalterable by the
  27. Fractions siren, and s0 mar be subtracted trom
  28. the sum siren, and set by till che Operarion bC
  29. made writh the rest, and then restored again.
  30. Parrition in the Numbers to makce a Proportion:
  31. Theretore rou must makie a Supposirion tvice
  32. proccedins cherein accordins ro The Tenor ot
  33. the Ouestion; and it cirher ot the Cuppoled
  34. umbers happens eo solve che Propolition, chc
  35. Wock is done; bur il not, obserre ThC PFTOFS.
  36. and whether cher De sreater or lesser than che
  37. Relolution requirech, and marke the PFrONS aC.
  38. cordinslr, wich che Signs -1 Oe-
  39. Then Mp conlassise che one Position
  40. by che other Peror; and if che Frrors be boch
  41. 100 great, or boch e00 licrle, Cubrract che onc
  42. Product from che other. and the one FrrOF From
  43. the ocher, and divide the Difference oF the PrO-
  44. duets by che Difference of thC FrrOrS.
  45. But il the errors be unlike, as che onc - 1
  46. and the ortier -, add the Products, and divide
  47. the Sum chereof by. the Sum oF the Frrors ad-
  48. ded rosether: For the Proporrion of the PrrOrS
  49. is the lame wich che Proporrion of che fixcesses
  50. or Detects. ot the Numbers supposed, 10 che
  51. Numbers soushE.
  52. B. replies, L’had emo of jours, i sould have
  53. just as many as vou have: ITo mans had cach :
  54. Bur cher Tould BC CGuat, CHCICIOTCche Position
  55. artrich is noc egual; cesciere a e again
  56. 15 3 t00 nuch.
  57. by ThC SII LTOT, IHC LIOUMIL 26 1S CaCM
  58. Products 24 = 20 = 14 ( 14 A
  59. Errors 2. = 2 = 2 10 B.
  60. Bur il che Suppositions are 20 and 10, theri
  61. the trrors beins tound unlikce; the Sum oF che
  62. Producto must be che Diridend, and che sum
  63. oE c too che Diritor.
  64. First
  65. Second
  66. Posicion 20 x20 Posirion.
  67. Frror 3. ] 2 2 - Error.
  68. 30
  69. 40
  70. Products 30 -] 40 = 70 p 24 A.
  71. Frrors 3. ] 2 = 5 10 B.
  72. O
  73. 2
  74. -
  75. 28
  76. 14 st
  77. 10B.
  78. e
  79. 10
  80. Products 48-
  81. Etale
  82. Frrors
  83. 20 2 = 12 sequal
  84. ddtC.
  85. EE che Supposicions hadt Been F2 and 50, che
  86. Aood inuo, as atore, because hC LTTOIS atE
  87. Errors being Doch -, ue Spetation wouldhave
  88. First
  89. Costobi.
  90. Error 1.
  91. HE there be a Fraction or Fractions in che
  92. POstLIOL Double, is Wrhen there can Deno
  93. oatole.
  94. Second
  95. 20 Position.
  96. 2 C11d1.
  97. Noce, T. That ad well in che Sinele a5 in che
  98. Double Rule of Posion, ho che. Numbet
  99. suppoled be nerer (0 Falle, a Relolurion
  100. mar be had cherebr: Xec, tor more Palc
  101. in cheOperation, suppose a Number rhac
  102. mas De parred equallr into (o manr PaFES 25
  103. are necessary co che Relolucion of che ne
  104. Rict
  105. Tuo Mem L. and B. discoursins of cheir NO-
  106. ner; A. PaYS CO B.. I P had tuo os jour Pieces,
  107. Esoula hade Turce as many as you habe; eo ertrich
  108. Srippose L. had 16, 20 wrhich 2 beins alueul
  109. makes 18, Wrhich is twice 9; bur havins raken
  110. e Trom chelce, it must de by chis dupor
  111. thac B. had sL: WHesciore 2 lakea Irom 16,
  112. and added W 1L, Atakes 13 i1 b. and A. +4.
  113. iS erroneou, a LOL COD MHCHB) L.
  114. Asain, Suppole A. hacl20, theM 20) 2 = 22.
  115. that is tvice FT; bur From thence L Deins Fa-
  116. ken, B. must have x3. Now 2 From 20, and puc
  117. 10 +3, Sres 1 1OI b. and lcares 18 FOr H.
  118. Then mulcipirins r6 che GrA Posrion, bY 3
  119. 2. Tet the Second PositiVi D aL Wa)S LIdMo-
  120. seneal, or oF che lame kind wich che firit:
  121. That is, belons boch LO OnC MTan, OnC
  122. t Et
  123. ehe second FFrOK, and alto 20 the second Polition,
  124. crom che Product 48, (becauie ihe LrrOro atc
  125. 2

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/806933011:0648?run=74