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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: 0.89.

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The machine reads it as

  1. 2. There is more Force regulrea ld male a Bod
  2. Roul, or Revolve, (as suppose a truly Spherick
  3. Borl on a Mathematical Lut) iBest to male it
  4. Clide alons with the same Celerits.
  5. 3. In all Clidins, or Slidins Morions, whe-
  6. ther Ontorm, Accelerated, or Rccatu 6c.
  7. Jhe Force in the mhole is alvays proportionable to
  8. the Produet of the Mass (or Duentity of Matter)
  9. multiplied by the Path, or Line, defetoa ) tBe
  10. The Incomparable NIr. Elaac NCWFOI
  11. thus expresses these rmo last lheorems.
  12. Wrhen the Celeriry is given, the space passed
  13. chro will be a5 che Time; and che Pime beine
  14. siren, che Space is as the Celeriry: WVheretore
  15. il neither be giren, the Space ill be as the Cc
  16. lerirs and Time conjunetly.
  17. When the Celerier is piven, che Pime is direct.
  18. ly as the Space mored chro; and etie Space BC.
  19. ins siven, che Time is reciprocally a5 the Cete-
  20. riry: Wheretore it neicher be giren, the Time
  21. is as the space directir, and as che Celerirs reci
  22. procalls.
  23. Frence isplain, che Morions oE all Bodies are
  24. 25 the Rectangles under rhe Velociries, and the
  25. Ouantiries oF Matter: WheretOre The MatTCT.
  26. and Celerier of Morion beine siven, the MO-
  27. mentum, Or Ouantier of Morion is given: And
  28. AF che Moment and Marter be siven, the Celerity
  29. is siren by diridins che Noment by che Onancit
  30. OE Matter, V. SY. Let the Ouantiey OF Matrer
  31. bea, che Ccleries c, and cheMomenem: Then
  32. will ea = m, and c == and a -
  33. AIo since che Space palsed over, or chro, is
  34. alvays proportional ro the Rectangle under the
  35. Velocir, andche Time; ter the Space be = 5
  36. the Time = P, andche Celerier, as betore =C
  37. Then willS = CT, and C = 7 and F =
  38. and since alto m = ac, n will be equat 10 7
  39. Oe, is F BC Biven, m = a5.
  40. Hence also may be concluded; ThatIF EWO
  41. Bodies are mored wich equal Velociries, che Mo-
  42. ments rill be as the Ouanciey of Matrer in cach;
  43. and vice versa, the Ouancier OF Matter a5 thC
  44. Moments: Wheretore it Bodies oF equal BuIK
  45. are found eo hare unequal Moments, Or Onani-
  46. ties oF Morion, the Ouantiries oF Macrer must
  47. be unequal: And consequenty chac which hach
  48. ihe last Moment, must have MOrC OF POreS OEVa-
  49. cuities interspersed chan che octer.
  50. For Instance: IF 2 Globes, one oF Lead and
  51. the Orher oF Cork, travins equal BulKS, are mo-
  52. red with equal Sitinels; since che Ouanries
  53. OE Mocion in the formet, Or ies Porce ro more
  54. other Bodies, Will be much sreater chan in the
  55. latter; irs plain chere must bemany more Pores
  56. Or Vacuiries in chis, chan in chat.
  57. Hr. Varienors Laus and Proportions
  58. about Motion.
  59. centre es corabits che Movins Body.
  60. vins da).
  61. Genelat lpe ot al Des Cartes S Staticks.
  62. Araced atrex D. Carres HiS MaNHET.
  63. 4. The Product of the Duration of all Eniform
  64. Motions, multiplied by the Force which DZ C.n the
  65. Motion, is alvays proportionable to the Product
  66. made by the Path, or Line os Motion mumplied
  67. by the Mass, or Ouantit) 8) Malter in the Mo-
  68. Let B, b, stand For che Body mored.
  69. M, m.
  70. Lor the Mass, OF Ouantiey oF
  71. Matter in ic.
  72. Dor Space, or Distance moved
  73. chro
  74. For The Time in eotrich the. MO-
  75. Then L CaY, F F: fF:: MS: m 5. OF anY
  76. cro Bodies in Mocion. Then
  77. 5. F: f: : MSF : m5I
  78. +:: MSf: msF.
  79. S. m.
  80. 5: f + d
  81. :5:: FY m: f+ H.
  82. 8. H F = 5, chen Mall
  83. C: 1: : M5: m s.
  84. M: m::
  85. C5 : 5t.
  86. tion 15 madle.
  87. Lo che Foree producins E
  88. Morion.
  89. Eor che Celeritys or che Morion.
  90. 3: 5:: Im: MF.
  91. And ReciprocalIY, WVhenerer TI, M m, 5s,
  92. are in any oE chele Proporrions; Then are the
  93. Forces which move the Bodies equal, Which is the
  94. 7. IF T = 1, chen Mall.
  95. F: f:: MS: m 5.
  96. F5 : fS.
  97. 5:: Fm: + M
  98. And So ReciprocallY, IE F, M, orS, Beinche
  99. PrOpOrtIONS; Ths Times vill de Equat. KIC HOLL
  100. MI: m::
  101. chis mas en eanet alt Machines be deon.
  102. :5:: S+: 5 I.
  103. : 5 =: F m: f N.
  104. :: Sf: 5F
  105. And Reciprocally, IFchele Proporrions bedis.
  106. coresed; men le Masces aue cqnat.
  107. 8. IF M = m, then ill
  108. 1. In all kind oF Motions Whatever, Rouline,
  109. Sliding. niform, Accelerated, Or Retarded, in
  110. Rishr Lines, Or in Curres, (90. The Sum of the
  111. Forces which produce the Morion in all Parts of its
  112. Duration, is alvays proportionable to the sum et
  113. che Paths, or Lines, which all the Poines of ch
  114. movins Body describe.

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/806933011:0550?run=74