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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: 0.86.

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The machine reads it as

  1. ment oE A, Or ot the scclatole A B, Wil bc
  2. OF A3, WDC S A A = a BC-I ABC -I - AB
  3. And in che likce manner il n reprelent che Index o
  4. any POver OF A, che W A, W V
  5. EA AB and E, be all equal: and chonche n
  6. a A = a B - A b, and FhC MOMIENE OF A B
  7. i
  8. WhereLMew, Thac O) IBe Ooctrine ot
  9. nitely smell TnCTCMEHES OF L
  10. elle mes ins su Assctens ot TucH
  11. Nemion, Calls Very Properis bY chis Name OF FLuXI.
  12. ons: FOr, as Indeterminate ana raMaBIC CMaTCI
  13. ties, d2Z. ICI as II M CCMCLaCOSOL CMMIIIICdL
  14. e are ro understand rhe Arichmetick oE che Infi
  15. ReMMeHES OF In
  16. minate ex variable Ouantities, Or 25 Tome call chem
  17. rariable Ouancicies. These Infinicely Call Incre
  18. MENES OF Decrements, our Incomparable MIF. IaaC
  19. atet VHeL LISCICS, B) LDCat MOLIOM, alC CONFINU-
  20. ally Increasins or Diministins, he righer Denomi-
  21. nates, Flomine Ouantities: AS DCMB ACM aS are
  22. Pespecttalls augmenced or lessen d by the FluX OF
  23. MoOI a Linc, Sursace, _c. S0 he calls ehe
  24. Celerity Or Velociry oF the Augmentation or Dimi-
  25. HuIO OL These Llomins Ouantities, by che Name
  26. OE Flurions. And because aII Figures may DC COn-
  27. ceired ro be generared by Local Morion; 25 is
  28. nom rels commoniy supposed amons Geometers:
  29. Thelctere us much more Natural ro conceire che
  30. IntinirelY (mall TnCFeMenES Ox Decrements OF the
  31. variable and Flomine Ouantities, under the NTorion
  32. OF Fluxions, chian under thac OF Moments Or Inf-
  33. nicels mall Differences, 25 Leibnits, Niementiit
  34. and che Noble Author oF Analyse des Infiniment
  35. Petirs elule racher to takre them: Tho even chat
  36. ay also is not wichour irs se in many Cales.
  37. LHC LXCeIlenE MP. Nemton suppoles the absciss
  38. et a Curre, or ary orher Rowvins oe variable
  39. Ouantiry cobe unitormir auxmenced, and chere
  40. Core FOruS Fluxion he purs r, orVnier. And che
  41. other Rorvine Ouantiries he denores ulually by che
  42. Letters V, x, y, Z, and expresses cheir Fluxions by
  43. onts repearins che same Letrers W LOITIS OF
  44. Pricks over C FleadS; WHUS, 8, d, 3, Z: Nhich
  45. are the Fluxicts of the former Flovins Malsusties
  46. And chis Mocdu I5 much moro nacural and MCor
  47. Whecetore since multiplied by A = 1, et
  48. NlomenE Os muliplied by A, cogecher wict
  49. muliplied By a, will Be che Ploment oC1; char
  50. is, nochins.
  51. Furcher che Moment oE 7, Or A, id
  52. Aud generalliy since mulcipsied bY Au =
  53. che Momenc or an mulciplied bY A ropechet
  54. wich- mulciplied by n a A F E, will be no
  55. chins. And consequenelys ee Moment os.-, c
  56. A = willbe = A n 4 1, 8, E, D.
  57. C AS F. Y
  58. And cince A into A produces A che Momen
  59. OF A = into 2 A will be a (bY CasC 3.) andchere
  60. Sore che Momene os A will ve 2 A : or2 aA
  61. and generatty, il A ù be put equal 10 B, An Mall
  62. Beequal ro B; and consequenty ma Am equa
  63. con b BF, andm a A = F equalton bB = 2, 0
  64. n:And cheretore aA is equaliob
  65. i c. Is egual to ihe Momentos A n. 8. F. D.
  66. Vi
  67. EADE N.
  68. vions
  69. leter.
  70. ter chan NiementiiiS, Ox the French one wich che
  71. Disserenctal a Mulciplicd inco rhe Flowins Ouanri
  72. Y, cocenore the Fluxion.
  73. And becaule these Fluxions themlelres are also
  74. Indeterminate, and Variable Ouantiries, and do
  75. concinually Increase or Decreale, Or grou srearer
  76. Ox lesser. Theretore he considers the Velociries
  77. ith which cher do s0 Increase or Diministr, 25
  78. che Fluxions oF che Former Fluxions: And chose
  79. mas be called second Fluxions, and are noced wich
  80. Evo Points orexthem, thus; y, X, Z. And if vou
  81. 80 on arain, and consider che perpetual Augimenta-
  82. tion or Diminurion oE these, as their Fluxions al(0
  83. vou mas make chird, Fourch, or fitth Fluxions, (9c.
  84. vohrea will be nored chus, y, x, Z; y, X Z:
  85. i Z: And P0 on ad Infinitum. FEthe FlOWinS
  86. Ouanrity be 2 Surd or a Fraction, hethus exprettes
  87. Eiey A B is che Nomene ot An malriplied by B
  88. cosether Wich the Moment oF B mulriplied into
  89. A thac is m a p = Z -) - n b B, = F. Arid chis
  90. Whether the Indices OF rhe PONerS BC IHECGeES OE
  91. Fractions, Afirmatire or Negatire.
  92. And che same Reason holds in the Products oc
  93. ans Numbers mulciplied by chemselres continually
  94. LHc a Bumels ot che Algorirtm or Arichme-
  95. ablors as you pleale, or ro ad hrixh Porvers as yoû cict ot Fluriono, contins in chele cro Thines.
  96. vill. 8. F.
  97. ons, accordins to our way ot Norarion, may be
  98. chusestablisted; as Lhare betore Meved in 2 800d
  99. meature ac che end ot my Agebra, Paβ. 115.
  100. ils Fluxion: Lex che Surd be V: a=b ies Fluxion
  101. is Fluxion oF the FractiOM
  102. 12y 1d 4:. Sec Dr. Wallis 5 Lat. Fdit.
  103. 128. 392.
  104. Wrhoretore rhe Momen DE ary perierated Ouan.

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/806933011:0339?run=74