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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: 0.78.

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The machine reads it as

  1. Example.
  2. de equal to ehie Abloluce Lusiber siven; and etro
  3. liquarion wullbecbu a bimple onc
  4. And these ero Ouancities added cogether, mute
  5. 10 36 = t
  6. add64 = d d
  7. 1. 100=10 =1 2 d.
  8. buE = d = 8
  9. heretore 2 = a.
  10. In ihe Second FOrM.
  11. Tec a a = d a = R.
  12. Procced in all respects as in the FXI FO
  13. vou must at last add = the Coesticient t0 the RC
  14. Exrracted out ot che Ab(oture Number instead oE
  15. cakins it from ic, as betore; because here a repre
  16. Cens the greater ROOE; and rhuS, il a 4 - - 16 a
  17. F36. a Wrilt be tound = 10 18.
  18. Inche Third Form.
  19. LetS 4 = a a = R:
  20. Flere Becanse the hiohese Porver is Pepative, is
  21. impossible any Puch Roor ean be Founa chat Wuill
  22. and ed - = dd = 8c
  23. e = R I +dc
  24. VR. F : dd
  25. l 8
  26. I Wheresore a = VR + dd. d. P. F. D.
  27. And sirce a - L d = R -+ = d d: H exct
  28. Parc ot che Equation be Squared, there will arise.
  29. un nca a ad Y : d d = _ Y d d 1
  30. tus lreut a
  31. 51C
  32. Which is the orhex common Canon Por Solviné
  33. produce =aa; Wheretore rou must imagine aH Cuadracicks, by addins ro each Part the Square ol
  34. ihe Signs changed, and then ie will Rand THUS:
  35. halt che Coeslicient, in order ro complear che
  36. 5a- a a = = R, or purcins che highest Square.
  37. Pover tcA, a a - 5 a
  38. 1P. +1C
  39. Li. 1 c.
  40. 51.1IF. C
  41. Inthis Form, the Coessicient is the Sum oF the 10) 0c In the Second FOrm M
  42. Evo ROOS, and a mar De cither of them.
  43. Anahereche Absolure Dtumber is so decermined
  44. as chat ic cannor be greater iMan che Square oF halt
  45. iHe Coerticients: FOr,
  46. IE the Absolure Humiber be, = r0 che E D oC
  47. the Coessicient, ihe RoOtS arc equal.
  48. y. The Practical Rule chen is chis: ugstu
  49. Fromthe Square oE. half the Coefsiciene, take
  50. ehie Absolure Number siren; and Exrract che
  51. Square Roor oF the Remainder; Which RoOr ei
  52. cher added co, or Subtracted From halt che Coeri-
  53. cient, will sire accordinoly che srearer or lesser
  54. Value oF a.
  55. ThuS: IF20a = a a = - 36
  56. ceet sI ONOFAS a aa= L R
  57. Erom 100= =SS Ois ipC I
  58. Fatte 36 = R OiOC lo Bopzol
  59. iet ni
  60. l3 17 3(1133 1Cd ON
  61. :31 V: 64 == 8 1a3 sel 133519 05ts 10 131951C
  62. nOV 1O =)= B = IB FC GFEATCF ROOFL ds 10 1
  63. 3and 10 = 8 = 2 the LoNer ROOr. 1110) à100,
  64. 1005 2 35
  65. esite
  66. i espC. IlSA.
  67. a 11 e 2 l
  68. 13i aBd Ca 2 d d uF a
  69. Ldese added make c e d d =F R. e 1
  70. Theretore ee=
  71. bocti
  72. aud e
  73. du e.
  74. Lllccce
  75. Nherelore
  76. R. I = d d
  77. In any oF the Three Forms, il the Coericiene
  78. have a lesacire Sien, pur e. L = d; buc it ic hare
  79. an Aftirmarire Sign, pur e-= d, instead oE a, the
  80. ROOT oE che hishest untnoun Pover.
  81. Then will ec F e d F = d d = a
  82. dd
  83. =4 - 2 8.
  84. .2-7 =4 8.
  85. Sue O the Equarion be Squared, ron will have,
  86. ad ddad = L d do
  87. Wrhich is che comtuon Cahion tor solvine Lqua
  88. HI. Fo Solve Quacrariek Adtected Equarions, by ionsbs compleatins che Square.
  89. tating amay the Second Perm.
  90. 10 c d + i d d = 7
  91. .1 431
  92. In che First Form;
  93. 64 = 30.
  94. d a = R, OF a a-
  95. ex e = d=
  96. Then uill ec = ed. + : d d = ac
  97. hich addedrogett. makie ec = = d d = F
  98. Theretorec
  99. And consequems
  100. Buce= Z
  101. Theretore e=
  102. a
  103. oe a a F. 16 a = 36
  104. Conteguentls a Y L d = VR. F = ad
  105. Then 150e-( e d = d d = a
  106. And since a = = d = V: R L Z ad; i eacte

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/806933011:0681?run=74