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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: 0.87.

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The machine reads it as

  1. Thus, 7 a
  2. defectire, (eliere beine really ho Vnices in ic)
  3. it must ork on the Mupcana by Substracti.
  4. on; cheretore, in this Cale, ie Mulciplicana
  5. Nesatires; ilicretore the Detect ot he Multi
  6. Product = df
  7. abdc nnopgr
  8. II. RV L F
  9. TF uo Simple Ouantiries, wotiether like Or
  10. untike, are ro be mulciplied, havine Numbers
  11. Ox Coeficienes prefix d Belore them; srst mul-
  12. tiply che CoefficienEs one into another, and 1O
  13. ehe Product anneX EHC LCEFerS OF BOrh Ouanri-
  14. Negarire (bY che lalt) chuS,
  15. I6 mulciplied by - 2 gires = 12 inche Produet.
  16. ries; Lochisnem Ouantirr is che Product (oughc. duce Positives: For since Multiplication by a
  17. Thus 3 a mulciplied bY 4 b produces 12 ab.
  18. HI. RVL F.
  19. The multiplication oE Compound Onantiries are scemine Onites in thie Multiplicator; Whict
  20. depends on the precedins Rules: For every must necds produce Policire, thus:
  21. Member oF the One mult be mulriplied into
  22. everr Member oF the Ocher; respect being had
  23. 0 che siens; by che Caurion siven in ile Ge.
  24. neral.
  25. Thus,
  26. -- b - 1-
  27. a8 184 80- ba 1Bc-6155a- 5
  28. IV. RVL F.
  29. Somerimes, wihen Compound Onantities ate under Tens; c. ad vou lec here,
  30. to be mulriplied onc br another, it is commodi- and draiv à Line under chem. Then 365
  31. Ous co omit the Operarion, and t0 ser only the (aY, 4 cimes 5 15 20; I set down 0,
  32. WVord (into) Or (X) becween chem; having and carry tvo Pens ro the next Rank;
  33. 24
  34. srst drawn a Linc orer each Compound Ouan- (theretore 4 times 6 is 24, and 2 l Car = 1460
  35. riri, rO Me thac erery Member oF che One is ried is 26: L sec down 6; and Carey 2 730
  36. co be mulciplied by erery Member ot ihe Orher.
  37. Thus, Fo mulcipir ac a 3a a = 2 aa F 1
  38. b7 a a = 5.
  39. 6.
  40. Wrice ana = 3aa = 22a - ] L X Or into aa , a.)
  41. Thac in Asebraie Mulsiplication Litee Sien
  42. gire. L, and Intike =, in the Product; mas
  43. Dc thus demonstrated.
  44. I. Since Mulciplication is che Came chins 2
  45. adding onc Factor 10 ic selt, or repearins ic (0
  46. Otr as chere are Vnires in che orher;
  47. 2. Theretore, -- mulripirins 1, must pre
  48. duce -), since Posicires added rill produce 2
  49. Positire Sum.
  50. 3. A Positive multiplyine a eatde Must pro-
  51. duce a Necative: For ris only addins che NCga
  52. tive Factor r0 it selF, ox repearins ic (0 otten 25
  53. (ThaE i5 200) ro thie neze Rank. Itien
  54. there are Dnices in the octier. Nor many De-
  55. Fects added, must Aill beDefects, or musthare
  56. 2 Negatire Sion, thus:
  57. =6 mulriplied bY F 2 produces =- 12
  58. 4. Necatives multiplyins Positives, must pro-
  59. henpleto aellea a C AE
  60. duce depalives. Foc iohen che Mulciplicaior is) heauie Piouteo et pe Mulciplicator, idc D
  61. 1i0r
  62. must De substracted (or made nesarire) as Ot
  63. ten as there are Nesarire Onires in the MuITI
  64. plicator: Buc to tatee avar Positires, is to adc
  65. plicand is 1o be added or repeaced as otren a5 the
  66. Cale requires; and it lo, the Lloduet must bc
  67. 5. Negatives multipirinq Negatides, Must pro–
  68. Regacire, is the same as Substraction, aHe tub-
  69. Aracilns a Defect or Wesactre, che lame as ad-
  70. dins Positires; theretore ris clear thie Delcet ot
  71. ehie Mulciplicand must be luostracted (chacis the
  72. POMtIr Multiplicand adcted) (0 otten as there
  73. 6 Into = 2 produces - ] 120
  74. AVLTIPLICATION os Integers, in Common
  75. Arichmerick, is performed thus:
  76. Suppole 305, the Days in 2 + CaI, WeTC WDB
  77. nulcipet 63 24, ee LNburs in a NPacutal Day
  78. vrrire donn ele Multiplicator orderty under che
  79. Multiplicand, Onites Deine under TIniress Pens
  80. ICa) 4 TICS 3 15 12, dnd 2 I carried 8760
  81. make 14, (2. c. 1400) WtICE 14, DC
  82. caule Lharenour donc Wichiche First PI
  83. SC 4, I set donn, as rou sec. Then Ibegin
  84. Will 2, Che second Figure oF che Multiplicator,
  85. Wilen Hands in che place ot Lens, and (as.
  86. is under 2, the Figure char L multiplied by, F0r
  87. chat Rule must alvars be oblerred) and Cal-
  88. rsL. Then twice 6 15 12, and 1I carricd 18
  89. and carry r, asbetore. Lattly, I Cay Corcl 5
  90. is s; and +I carricd makes 7: WMICM Y I set
  91. down, as vou sec. LHen adding che EVO PrO-
  92. cor che erue Product.
  93. N. B. Wthen there are Cyphers at the end of
  94. either Factor, or after both, multiply the sis
  95. nificant Figures one int andisset, ad l0 i
  96. Risht Tand affix as mans ssers as vere in
  97. both = V. SI.
  98. 466000
  99. 400c
  100. evice 5 is FB; T Pet donn o under 6, (which
  101. 33 L set donon 3 on ille Lote Iland ot chelast,
  102. ducto, chus Found, rogemer, rou vill have 8760
  103. 126400000c

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/806933011:0555?run=74