Leibniz Legible

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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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The machine reads it as

  1. The Lenoths OE Pendulums (wvhich are alv 27S
  2. accounted from the Cenere of Oscillation, rorhe
  3. Centre ofthe BaII Or B0b) are ro cachother in a
  4. Duplicate Proporrion r0 the Times in which
  5. cheir Vibrations are respectirelr pertormed; Or
  6. are as the Squares ot cheir Vibrarions performed
  7. in one and the Pame time. WVherctore the Pimes
  8. must be in Subduplicate Proportion i0 the
  9. L. engtHS.
  10. Nr. Nemcon demonstrates, Cor. 2. Prop. 54
  11. Princip. Thar il che Force ot the Movement ot
  12. 2 Clock required ro keep a pendulum in Morion
  13. couid be so componnded ivith rhe gravicarins
  14. FOrcC OF the Pendulum, chat che whole FOrCC OF
  15. Pendeney donnvards, Mall be as the Line
  16. extrich arises by diriding rtie Rectangle inder
  17. the Semi-arke of the Vibration and cheRadius, is
  18. ro chie sine of thac Semi-ark, then aII chc Oscil.
  19. lacions Mall Aill be made in rhe lame space 0.
  20. Fime.
  21. mate any assigned Number os vidiaions
  22. Minute.
  23. TEF tHC NNIMIDEE OI VOracTOnS OC 50, C
  24. Tenech o a Scrine conned trom che Point of
  25. Suspension, 20 che Centre ot Oscillation, ot
  26. oE che Buller or Round Ball ac chie end oE ic, 1d
  27. required.
  28. Since the Leneths of Pendules are to cacti o-
  29. ther as the Squares oE their Vibrations. And chat
  30. a Pendule Vibratins Seconds (or 60 rimes iu 2
  31. Minute) is by Experience found 10 be oE ch
  32. lensch oF 39 Inches and, 3 oF an Tuch.
  33. There ule Sit Jonas Moor S Compucation.
  34. Say, a5 the Square OF 30, (vtich 15 250)
  35. cothe Square ot 60 (wtick 15 3600):: S0 is
  36. 39, 2 : o the Lengchof the Pendulum required
  37. aotict ill be tound 10 be 56, 4 Viches. dec Me
  38. Nortio
  39. OF the PTumiber oF Vibrations astignd, and che
  40. Ouocient will sire ihe Lenorh of a Pendulum.
  41. chac Mall. Vibrace just s0 mans rimes in a Mi-
  42. HuTC.
  43. in a sitinure.
  44. Checctore la7. Asche Lengcheeren Luppole 36, 4
  45. co The Lensch OF hC SCalCaTA LCHCMILIT LWIII
  46. ins Secotus, dz. 39, 2. 50 is the Square ot the
  47. Vibrations of che Scandard Pendulum, ro che
  48. Nork.
  49. chere yon curided by che oquare ot che Vibrae
  50. ons 10 find chie Lenorti.
  51. PR O BL F M S.
  52. I. Tofind the Lensth os a Pendulum mhich sta
  53. eROBLEM
  54. TBC Length of a String and Dlummet beins Lnomn
  55. (reckned as before from the Point ) Suspenston
  56. tothe Centre of the Weisht 3) T0 find the. Num-
  57. ber of Vibrations such a Pendulum shalt matae
  58. This is the Reverse of the Formex Problem:
  59. Squares of he Vibiations us. he
  60. A556, 4 : 39,2 : : 3600 : 2500, d5 WHBC
  61. Found by orkins che Golden Rule as betore
  62. AIt eC Square RoOE oF 2500, Will bc 50, e
  63. umber ot Viotalions Toughe
  64. Buc For ule (hesC aS IM CHC LOMIHEK FTOVICIM)
  65. rou need onls diride 1411200 by che Lenoch,
  66. and ic sires the Sguase Ot MIIC VIOLaLOUIS, a
  67. Bur For ready Practise; since in chese Ouesti-
  68. And chelo rvo Problems may Bc of excellene
  69. ule, both to Regulace the Motion oF a Clock Or
  70. WVarch. and exactr ro meature Time without
  71. cicher; wrhich may graritie and aNist che Curi
  72. ous in obserrins Fclipses, especially chole oF the
  73. ons the Produet of che mean Terms rill alivays
  74. Satellites OE Fupiter, and in che. Pransis oE he
  75. bc 1411200 (chat is che Product of che Square
  76. OF 60 Mulriplied bY 39, 2.) 1. c. 3600 = 39, 2.
  77. Moon under che sx d Scars, and her Occulcari-
  78. ons ofchem: Whose Durarion may be chus ea-
  79. sily measured, irhour Clock, Wacch, Or any
  80. such vas ot distinguittins Time.
  81. AS For Instance, Suppole rou vere on a Tour-
  82. ner or Voyase, or lome place where rou cannor
  83. hare che conreniener of a 800d Clock or Wacch.
  84. C9c. and vet rou vould willinels obserre che
  85. Duration oF an Ecliple; wrhich by vour Tables
  86. rou kno will happen such a Niehe, and near
  87. such a cime OF II.
  88. Flaneins ux 2 Sirine ane Wciehe on 2 Fine.
  89. Pin, and lecins ir sivins just ac che Fncrance oF
  90. the Straco on the MoonSOrb; let 2 C OrrE-
  91. spondent or Serrant caretulls couneche Vibrari-
  92. ons, and martins chem donn with a Pencil, or
  93. lome such war; (morins he Pendulum dexte-
  94. rousY also chac maz chac ris goins, when ris al
  95. mostac rest, by a genele pustr of his Fland, and
  96. by chac means kcepins ic in constane Morion;)
  97. che Number oF the Vibrations will be known
  98. durins che whole Eclipse; which nore donn on
  99. a piece of Paper, and Meaturine exactiy che
  100. Lensch oE jour Scrins in Inches, and Decimat
  101. Pars ot an Inch: Divide (By chis Problem)
  102. TAIF
  103. 00 by rhe Lenoch ot rou Lhautum, anc
  104. the Ouoriene will aftord vou a Number, Wose
  105. Square Roor is che Number oF Vibrations, e
  106. Pendulum rou emplor d made, in, one utule
  107. Vouncedons divide chac Humber byche Sguace) Diride cherelore uneumber et al ihe ion
  108. 46 2500 10 3600.. 1039, 2 l0
  109. 39, 2
  110. 7200
  111. 32400
  112. 0800
  113. 25100) +4F+2 100 (56, 4
  114. 2.

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/806933011:0611?run=74