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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: 0.88.

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  1. The. Line C. d. _. Hill. lessen uxwards, Vet thes sit = verero be dirided by 2 he Quotient L5 will
  2. cannever become nothine, because no Line drann
  3. Trom a ca any pare ot de thouph never (o remore
  4. ean postibly erer coincide wich che upper Paralle
  5. Sec also che Learnea Mr. Keit S, act Philosopbica
  6. Lecture, reda In cul Onivertier ot Oron, and lare
  7. Ana Chac ihC Lails, ot Solid Bodies are almos
  8. infinicely (maII, and chac cher are capable oF be
  9. ins divided wondertul minurely, cho II. MIF. Boyl
  10. Mens by chese Instances.
  11. . A Piece oF Silver Wire was dramn (0, snallo
  12. chac che Weiphe ot bur a Crain vould. re2ch 10
  13. 27. F0or or 324 Inches in lensch; and since an
  14. Enelist Inch can casily be divided into 200. cquat
  15. Pares, one Crain ot rhis Wire may be dividod in
  16. 20 64800 ParrS. And since ehis Dirision relaret
  17. only co che Surtace of che Wice, ies Solidiey may
  18. exsilys be conceired ra conist, oF many Millions, o
  19. tuch. PaFES.
  20. 2. One ot ihe Oval. Cases os silk. vorms vas
  21. dramn our inco a Lonpch char much excoeded 300
  22. Vards, and ver weixhod bur cuo Grains and a1
  23. halt; (0 char cach Cylindrical Crain oF ehar Silt
  24. vas ac leaA 120 Vards in lengch.
  25. 3. A Grain ot Leat Gold was extended into an
  26. Arca ot above 50 Inchess and chen supposins che
  27. Area reduced ro a Square, and irs sides divided
  28. alcer rhe manner vetore menrioned, 1. e (0. chav
  29. chere be 200 dirisions in an Inch: PF Paralsel Lines
  30. be luppoled ro be dravn chroueh chole subrile di
  31. vitions, che Area will be dirided inro na tels chan
  32. ruvo Millions ot lirele Squares
  33. At vou suppolo che Silver Wiro montioned a
  34. bore co be eilr wich Gold sand allovn for ch
  35. Gildins 8 Grains of Gold 1o an Ounce ol Silver,
  36. Which ver is more chan is commonty ulcd) vor
  37. will tind an Ounce ot Cold may. cover as muct
  38. Nire as will reach c0 r55? Miles in lenech.
  39. 5. By dissolrins onc Crain ot Crude C opper in
  40. pood Provorrion oC Spirie oC sal armoniac
  41. dcep Bluc Colour was produced, and alcor chis:
  42. 800d Ouancier of distilld Wacer was pur coic, re
  43. dilure ic, ver (0 25 thar rhe Blue C olour did Aill re
  44. main vilible; and on che comparins che WeiphEo
  45. be much bisger chan che Diridend 3, hecause 25
  46. 1.400 165. (1. e.) 25 one is eo che Dirilor:
  47. Co is che uorienz co the Dividends buc I, is ereat.
  48. the Liquor vich che Crain ol Copper hrc distol.
  49. ex than = Or =, Wheretore LS must. al(o be PrCatEF
  50. thon 3.
  51. thereducins che Dividend and Divilor eo che torm
  52. Thusit ab ivere robe divided by cd, ic must DC
  53. Placed chus, , ane MHac Fraction is che Onori-
  54. enr; chouph some choole ro vrire ic chus, 0d) a b
  55. Or ab=cd. Wrtich last Mark is che commori
  56. Character For Division.
  57. parrins a sensible Colour c0 abore 5i3620 times
  58. eins or parcms et ans me ma us propet Larts
  59. and is onty a Compendium et substraction, tor ehe
  60. Divisor is (o many rimes concain d in rhe Dividena
  61. as chere are Dnits in che Ouorient; lo thac lub
  62. Aractins concinually che Divisor trom che Divi
  63. DIVTSION in Species oe Mlebra, is in penerat
  64. ot a Fraction, whieh Fraction is rhe Ouoriene.
  65. ved, ic Wwas found, chac Grain was capable of im
  66. irs Bulk ot Liquor.
  67. Por the performine the Worte of Division Alcebrai-
  68. cally observe these RuIes.
  69. Ist. Rule. Wten ihio Dividend is, equat. 19 etie
  70. Dirilor, che Ouocient is Onicy, and must bc
  71. placed in che Ouoriene, because everr chins
  72. contains it selF once.
  73. 2d. Rale; Wstenche Duorient is exprossid tiractin
  74. on vays (a5 in Simplee Division) is eHe Came
  75. Lecters are tound equally rexeaced in every
  76. Member oF che Numerator and Denominator
  77. cast amar chose Lerrers, aud che Remainder
  78. ab. le. 8c
  79. 3d. Rule, Wten chere are any Co esticients, dix
  80. vide ehem as in Common Arichmeriek, and
  81. ro he Ouocienes annex che Quancicies ex
  82. pressi d by Lerters, hus, 360 ab (- 15 a
  83. 24. b
  84. gth. Rule. The general way ot Division ot Com
  85. Pound Ouancicies is likre che ordinary ivay in
  86. Common Arichmeriek, respect being had id
  87. etie Rules of Algebraick Addirion, Subduction
  88. and Mulciplication, a5 allo, phar like Siens
  89. sire F, and untike= in iho Ouorient; ta-
  90. kins care r0 divide erery part ot che Diri
  91. dend by ies correspondins Divisor (i. c.) chac
  92. whole Lerrors Me il os ete lame Kinc
  93. wich ihe ocher) 10 prevent a Fraction whict.
  94. vould orhermise arile
  95. chus, a +b) a a + a b c a cb (aie
  96. dend, and accouncins an Onice For each rime, the resolvino che chins inco irs PaerS) cheretore since
  97. vided is Lallea the oacna Chac by itnch jou
  98. divide ehe Bo, a Muriber oF cimes Mac could produce che Diridend; etieretore, it theDi
  99. y sublised.
  100. DErISIONY in generat hsmnes ene aucribu-
  101. Sunm ot ore Onus is che Duatient:
  102. he: Dioraena CaM lHe Boyor so caceu feu
  103. Thae thie Pame Reason for litee Sipris sivine
  104. posicire and untike à nesarive Duoriene, must holg
  105. in Division as Wellas in Mulriplication, is clear Feori
  106. consderins che Nacure of Division, (Which is only
  107. every Dividend is nochine else bur rhe Produet ot
  108. the Guoriene muct consist ot such siens itrich
  109. vicen de causMantiey chac hach a limi-
  110. rient or Duore. And lomerimes rho Parabola, che lar Sien wichu, ce Olibelehe muut be policire:
  111. Reale et irhich lec under thac mord.
  112. Ih all Division, as one is ro cheDivilor:: (0is
  113. ee Ouoriene ro che Dividend; Wheretore chouph
  114. ler Numbers che Ouorient must alivays bc
  115. it by L Quancicy tavins a dissimilat Sien, ic must
  116. be Hegacives
  117. It may be a Gegerat Rule in Compound Divi
  118. non in Algebra, alivays ro place suck a Lerrer ir
  119. less chan che Diraen, vec in Fractions ic mule ehie Ouorierie, as will, irtien mulciplicd into che
  120. alvass be greater
  121. Thus, lec 36 be divided by 4. the Quorient is
  122. 3, le(s chan 36. because, since L. 4.. 5. 5.
  123. Divilor, produce che Dividend; Por thar is a)
  124. pisor lecarere ede pe egitee ade de don
  125. riege.
  126. In D: Disto. InC LIL et Canciry ro b0 di cheDivisor and Guocient mylriplied by eacti orter
  127. ins tels Man 4: 9 must also be lels rhan 367 bur

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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/806933011:0265?run=74