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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: 0.85.

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The machine reads it as

  1. S R
  2. astigne Denominator, and set rhe PFoduct over (3)
  3. and ris done, and sands chuS 24, For che Num-
  4. ber 8 is Mulriplicd by 3, and chien chai Product
  5. Divided by 3, Whict matces ic oF etre same Va
  6. lue nou 25 betore.
  7. V. 20 Reduce an Improper Fraction into it.
  8. equivalent misd Number, as suppese .
  9. Bivide (39) ihe Numerator, bY (12) che Deno
  10. inator; the Ouorienc (+1=). Will be elie mix
  11. Number Couslrr.
  12. VI. T0 Reduce a Compound Praction into e
  13. Sinsle one.
  14. Mculcipli alI Ehie. PFumerators Cottinually Cor
  15. heto NuIeratOr, anet all che Denoiminators Cor:
  16. riew Denominatot.
  17. Thus oF = oF 5 reduced, Will be L l.
  18. VII. T0 Reduce Fractions of different Denomina
  19. tions, 10 otbeis os ehe same Value; havins ehse sam
  20. common Denominator.
  21. 1. Reduce them alvays 20 Meir leaAt Ferrus.
  22. 2. Tleh Mulciply Ill elie Denoininaiors tor
  23. comimon Denominator; and Mulciply continuaIII
  24. ste Numetaror of each l’raction ineo allctie Deno
  25. ininatOrS, excepe ses oon, and chac, ill sire nem
  26. NumetatotS, 10 bC let orer che commion Denorii
  27. natot.
  28. Thus, Il il vas requir d eo Reduce:, and , anc
  29. int ore Common Denominator.
  30. I Car, 3 inco 7, ino 6; produces 126, E0F 3
  31. COIHON ExnOMINATOE.
  32. TheH, 2 X 7 X 6 = 84. Merelore; = 1 7.
  33. And 3X 4 X 6 = 73, cheretore = = 1 24
  34. AIIO 5X 7X 3 = 105, CheretOrC 3 = 1 5
  35. Addition in VulsaE FractionS.
  36. 1. s che Fractions proposed have equal Denomina
  37. cors, only add che Nuimetators, and sei che Sum
  38. orer elie cornimon Denominatoi.
  39. THS 1 16 = 1
  40. 2. BuE iF chey HaVE HOE L COmMOn DenOmINATOE
  41. eher must De Reduced ro orters oF che lame Valre
  42. etiat have a commion Denomminaroe; ehen add as ix
  43. Ehe Arst Rulc.
  44. 3. IF Compound Fractions are siven 1o be adcec
  45. cher must sest be reduced ro sinsle ones oF the lame
  46. atue, and etren eey wilt FaII incer chele ewC
  47. Autes Torexoinz.
  48. 4. Irtien Fractions ot differene Denoiniriatione
  49. are siren eo be added; thes must De reduced inte
  50. Fractions os che Patrie Denominacion, Cor wlrict
  51. have hc Tame common Inces er) by che Rule FO
  52. Reducins Componnd Fractions.
  53. Thus, il SoE a Poind, = ot a Shiltine, and 2
  54. et a Fenny, vere proxoled 1o be added iogertier;
  55. es cere alt ve roes e pras tes boerome aon
  56. oncretei
  57. Etius _ ot a SMillitis i5 ot, 3 oE a Ponnu
  58. (Wuseh reduccdisot a Pouta). 503 ot a Pen
  59. and . may beaddes alo
  60. 5. 20 add Mixe d Nambers.
  61. 1. Add che lirepeis in Bort Numibers rogecher.
  62. ehen add che Fractional parrs, and il their sum be
  63. a Proper Fraction, oils annex it tortie Sum ot rtie
  64. Inregers.
  65. eo its equiralene MIX a , a au
  66. Incegral part co che fiest Suni ot etie Integers, le
  67. che remainins Fractional pase aliex rhe HICBCtS
  68. Suberaction os Vulsar FractionS.
  69. t. IF ctiey hare a common Denominator, Subetact
  70. the lesser Pumerator trom che srearer, and set che
  71. Remmainder over ttie common DenominiOF.
  72. Thus, Tromstake,5, and chere renixins. 7
  73. 2. IF etes HarC NOE a COIMHON DEnOMLInALOES
  74. ihermust be redtuced to Fractions ot che Lame Va
  75. lue, havins a COMMOM Denominator ; anet itien as
  76. in chC YH Rulo-
  77. FIuIS, 5 3 = 35 38 = 55.
  78. 3. Fo Subrract a whole Humber Frohe a mixe
  79. Tumber, or one mix d Number troin another.
  80. Reduee ehie wtole or mix d Numbers co limipro
  81. per Fracturto, dien procced as in che +A Or 2d
  82. UId.
  83. ricular futes, wtrict in lorse cales are mOtE
  84. Expedirious; asoo
  85. Partieulat Rules.
  86. 1. Fo Subrraet a Mhole Numibes srom e. Mint.
  87. Suberact ehe Whole NumBex Rom etie Incesrat
  88. PATI DE EhC Min d Numbee; etreo 10 chC Remain-
  89. der, aunex ete Fractional parc ot isse mis d Num.
  90. bet
  91. Thus, 3 FCOm 5 = leares 2;.
  92. 2. Fo Suberact a Praction from L or Enit.
  93. Subrraet the DTumeratox from the Denominaror
  94. and place che Remaindex orer ilie Denoninator,
  95. and eis done.
  96. Thus, = Hrom 1 leaves :
  97. 3. To Suberact a Fraction fromi any nhole sot
  98. Sreater than Duisy.
  99. Suberact che Fraction Erom Units (By 2d) cteri
  100. From che wtiole Number siren Suberaet chat Onir
  101. and place che remainine Inteser belore, and che
  102. Fractional part (hrst soine) alter. ii S0 Mall pha
  103. mix d Numiber beche Remainder TouBHi.
  104. i
  105. ny i5 3 o(= + ot, ot a Pound, (which beins re
  106. and tisdone
  107. duceds is Then chele wo fractions 2
  108. 2. Buc. is ic be an Tniptopet Fraction, reduce il
  109. Ttus53 - 4 3 = 105.
  110. N. B. This Rute iS General; ver rtiere are Par.

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/806933011:0358?run=74