Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. II. Y
  2. bie co che excels oE Crarity oF B above A.
  3. D.
  4. SCH O L FV M, by Mr. Diccon
  5. The Momenta OL Fluids preltine upon any
  6. Fund, mas be looked uxon 25 Products; che
  7. Chantiry ot Marcer Deins one oF che Factors char
  8. compose chese Momenca: The orher, che pressin
  9. Velocity, cravitatine Conatus, Or Whacerer else rou
  10. Deale rO call ic; only remember, chac in che fol.
  11. Lorvins Considerarions, L Mall make ule oF the
  12. Norus pressive Velocity, as beins che htrest L can ac
  13. eR OP.. IIL.
  14. Y the Body A (Fiz. 4.) be suppos d Beavier chan
  15. (an equal porrion os the Fluid in rhich it is im
  16. merged) it gravitates vith tho Lixcess onty of it.
  17. Gravity, above that of B.
  18. Demonstration.
  19. Lexche Cravitr oF BBC = X, and chat OF A. =
  20. -I y, chen chele cro Forces beins direct ly con-
  21. Erary, x and x destroy one anorher, (0 chac A only
  22. gravicares wirty, che craries by wotieh A excecds
  23. D. F. D.
  24. GOROLLAEY.
  25. Fence i is manilest, That of Bodies immersed
  26. in Water, or any ocher Fluid, ve only perceive
  27. the Disserence berween che Wcistus oF the immer.
  28. sed Body, and oF such a Ouanrier oF Water, Or
  29. any orher Fluid, in which che Bodr is immersed.
  30. whichis equal ro ehe Bulk oE chac Body.
  31. PR OP. W.
  32. Al Fluias press upon subjected Bodies, according +o
  33. their Perpendicular Altitude; and not accordins to
  34. their Laticude.
  35. presene chunk ot.
  36. In Vessels havine equal Alritudes, cho difterent
  37. Forms; the Momenta Will be equal Trom Prop. 4
  38. cheretore rheir Ouantirs oF Maiter, and pressive
  39. Velociries, will be reciprocally proportional: So
  40. in che Cxlindrick Vesel BC F F (Fig. 6.) and
  41. che Conical one L. C F, che Momenes beins equal,
  42. the Onarrier OF Mlatrer in che former, will be c0
  43. he Ouanrity oF Mlacrer in the larrer reciprocally, 25
  44. che pressire Velocier oF che whole Fluid in che lar.
  45. Ter, is co thac inthe FOrmer. Bur che Rario oF cheir
  46. Ouantiries oF Macrer, is Knovn From Geomerry
  47. cherelore che Rario ol cheir prestire Velociries vill
  48. be knonntoo.
  49. Ntrich is chus demonttrared.
  50. Water (Fi∞. 5.) chen because che Column B F is
  51. hearier (because longer chan HC;) tis certain,
  52. thac it ehe Vessel Wvas open aE FI, C HI woud ascend
  53. ill such time as rhe Columns B F and C FI, Wvere
  54. in an Equilibrium, or of equal heiphe; buc sceine
  55. he Vesset ax HI is Mur, and consequenely hinders
  56. C IItrom ascendins, the Pressure upards uxon
  57. IL, is equal Difference ot the ruo Columns BF,
  58. and HIC, 1. c. BL. And since all Precture is reci.
  59. 3
  60. In hc Vessel L C F, twin be un casie chine 10
  61. procal, i. c. a5 much as Elis pressed upvards by snd che Nomenta oF che Pluid pressine upon hc
  62. The Liquot, l0 lach ic presses the Liquor donn.
  63. sereral Imaginary parallel Funds, 25 C F, LR, C30
  64. vards acaint the Bouom eun l Re- action For che Nomencum oF L. C F, is ro the Momentum
  65. OFLIK: : 25 the Homenrum oF che Cplinde
  66. B CF FcocheMomentum oF the Cylinder OTKH
  67. Buc univerlally, che Momenta oF Cylinders: are aS
  68. their Alcirudes, by che last: Theretore set L CF
  69. bc whac Fisure it will, che Pressure upon a Fund,
  70. aSIK, is ro the Pressure upon a Fund aS C F intnC
  71. Vessel conrinued (O Far:: ASthe AbScisse L a, IS1O
  72. the AbIcisC LO; thac i5, 25 L a cO C O: And iF
  73. C09. dl.
  74. vou suppose ic a Parabolick Vessel, a5 L a g, 10
  75. Lexthere be2 Vesset A L BM HI CD F FuIl OF
  76. beins alvays equal one ro another:) IF e0 this Pres-
  77. sure be added the Craviir oF CHI; thie Presture
  78. uperi ihe Boriom C, will be the lame as il ic had
  79. ehic encire Column B LMucs apon ic.
  80. Lhe lame may be Demonstrare d oF all itie rest
  81. I ris cridene, Thacche Bocourot c renetL
  82. Tull OF. Water.
  83. . D.
  84. N. B. Wehere consider rhC Fund IK
  85. I5 ma.
  86. kins a distinet Vessel, and nor meerly an Imagina
  87. ey one; CocharL IK, andL.
  88. C F, may be conti.
  89. der d as uo diltinet ellels
  90. From. wwhat is said, max be found che proporri
  91. otthe equal Imaginar Corunns; aile comesme
  92. sustains as grear à Prenule, dslle
  93. on oF che prestire Velociries, in che Vessels L C P
  94. P. LK; For we know che Rario oF cheir MOmenta
  95. and the Rario oF cheir Magnicudes; Theretore chat
  96. allo et cheir piecire lelociies, rhe othter l’Abl06O
  97. e

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/806933011:0416?run=74