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: 0.87.

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

The machine reads it as

  1. in EF, che Ouickhlret Monid norvictiltaridins Be j Bur hereir oughero Be Considereu, LHAC LII C
  2. Tound ac the same Perpendicular Ileighe as vetore,
  3. since. C L Deino longer chen C I, ris cerrain ehere
  4. Cravicy oF ehie Fluid in the Tube P P, be lessened
  5. in proxorrion co the obliquier ot the Tube, vet au
  6. must be C MCC) Cean Mal, itet Mene lae time the Pressure uxwards is weakenedo
  7. Pochis L Ansiver:
  8. hindered in che same Proportion, the AngleS R P C
  9. and F P EL beins equal; (0 chat here is a sorr
  10. et compensarion made, and etie lame force wtrich
  11. Kecps ihe Mercury suspended in P HI, will be no
  12. De Fioure oF the Surtace oF che Mereilry in ehe more then susticient eo buoy ux that in F. F, oF an
  13. Base F OF the Tube F G, Wwill become FIiprical,
  14. and consequem enlarsed by his Oblique Posicion
  15. equal Alticude wich etie Former.
  16. AIIO, lince Tubes and Vessels havine the lame
  17. Forcho ir Will be of rhe same Breadeh Aill, ret ic or equal Bales and Alcicudes wich Cylinders and
  18. Will be s0 mueh longer as is che Rario oF che Dia-
  19. Prisms, may norwichltandins, contain more or less
  20. meter L, ro che Diameter C; i. c. a5 is che rrans. Mercury chen chole C fncers and Prilms (a5 is ap
  21. verse Axe oF chac EIliplis ro irs Conjusare.
  22. Bur TMall Demonstrare, That the Diamerer ot
  23. che Bale C, is co che Transverse OF the Base P::
  24. As che Censch oF che Tuhe C I, is rothe Lenech
  25. For luppose PCM rhe Bale oE the crect Cylin-
  26. der CD, urtrich will be a Circle; and NCO che
  27. This.
  28. OF the lube F Fi
  29. lipsi5.
  30. Base oF ic cur Obllesters, uet wilt be an Fit
  31. Parene trom Fis. II.) ic may very realonably De
  32. asted, Why che Nercury Rands at che same heiphe
  33. in aMd viz. Why in the Tube CH, wich a roune
  34. Hlead, che Mercurr Mon d Rand acthe sameheighe
  35. chac ic does in che Crlioder CI, upori che lame or
  36. an equal Based And etiy in the Veset DKB, id
  37. Mond norrise higher rhan it does in F D B F 3
  38. The Reason ot these two Phaenomena, I take l
  39. bechis.
  40. First, Inthe Tube C FI, che Mereury contain d
  41. inche Llead, vichoue che inscribed Tube CP, is
  42. noc supporred by che Base C, bur by etie sides ot
  43. itie Hlead ot che Tube, and consequencly the Prel
  44. sure uxon C, isthe same in boch Tubes C FI, CI.
  45. cheretore che Alinide oF he Mercury in borh ot
  46. em must De CamE.
  47. Secondly, AItho che Vetset DK B, be much
  48. similae: For rhe Anples at C and L are rishe, and lels rhen che circumscribins one, ver it trill be an ea
  49. che ansle LL
  50. Theretcte
  51. II LecM each ot chem, Sic macter to acconne for. che Nercurrs risine no
  52. hieher in chac chen in chis; For ac thole parrs ot
  53. the Base, a5 C, Where the Mercury Has a free
  54. alcene, ic arises ro a cerrain decerminate heighe, 25
  55. CL in che Veset DK B; but che a(cent oF the
  56. ot che essel DK and R B, as much as it FDB
  57. (Fis. 9.) LOC che Base P oL Ihe Obque LaBC L C,) Prest uxon ic; cheretore it cannor tise any higher
  58. Then ter he Cylinder C D be rectined into ch.
  59. POSITION P C, IO ThaE N CO may bCCOME NLC
  60. 5. C. in an Florizontal Postion; rhe CAHeT L L
  61. Wvill be equal eo an crect Cflinder upon che same
  62. Flliprical Bale L L O, ale DelWeen che lare Pa-
  63. Fallels LLF, NO: From F cheretore let FaHF C,
  64. perpehaular 10 N F O produceu, ase os chis
  65. tricans we all haveche Triansles F P C and PN L
  66. FOFeTREE WIIII L L N makes a RLI∞hE AnslC:
  67. C (1SCI):: NE: L L:
  68. 2 NV P: 2. L. L. -. Or a5 the BasC L: 1S W The Ba(C
  69. Mercury 15 Kepr suspendca I L.6, Catt 1 C 13
  70. And now che Reason plainty appears, Wtrmore orher Pats D P and E B, is impeded by che Sides
  71. is as much prearet chan che Bale C oF cheerect chan the Mercury in che circumscribins Vesset
  72. Tube C D:: 25is the L enorh ot cu Loher, chan F DB F.
  73. Buc chen it may De surcher enquired, Wty in
  74. the cvo equal Cstinders P F and PFI, (Fiz. 10.)
  75. chan in che latrer: Since Dr. WN allis has Demon-
  76. Atraced, C ap. 2. Prop. 19. Thac equal Bodies Bra
  77. ricare in Proporrion eo cheir Declivicies; and con-
  78. sequenes ne Graries ol the filuid wichinche lube
  79. E F, beine Wreakend By IHC OOnguIEY Ot the
  80. che Lensch OF chelacrer.
  81. ehe MercurY LOuId noc lIIC Me i che tormer
  82. Tube, ris buereasonable co suxpole, thac the Ner-
  83. Cury Mon d be rais d 1o a sreater heiphe chen ini
  84. etie ereet Tube PII, irhose Postion does noc acali
  85. menhes oe hicgere pee 6 fariaaieua ol ee etuice.

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/806933011:0418?run=74