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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. Curre, and hachics Velocier in a Subduplicare Racio
  2. O ihe Alcirude: And it a Parricle ot Lighe comine
  3. trem a siren Point, and pals chrousB a Medium
  4. ertose Rarier increases in a Subduplicare Rario of
  5. the Alricude or Dexch, ehen Wwill che Velocier ot
  6. che Parricle, or Ray oE Liphr be in a Subduplicare
  7. Racio oF such Fleighch or Dexth; and consequent.
  8. ly, lnce che Velociey becomes che lame, Wherher
  9. produced by che unitorm Action et Cravity, or
  10. By ene Raricy oF che Medium, ehe Line oF DC.
  11. SCenE Or Morion, Or the Curve deseribed will be in
  12. boch cases che same. There hare been publistred
  13. marts Mechods oE Investisarine che Nacure oF chis
  14. Curre; and che follorins one (wtich is MOrE.
  15. plain, and easie) recommends ic self e0 us wirh
  16. ehis Adrancase, char ruo noble Problems in rvo
  17. distinet Sciences, are solred ac one and che Came
  18. time; the one an Oprical one, cheorher a MC.
  19. chatricat.
  20. NToW lec the Lawr of che Rarity or Densey ol
  21. the Medium be wrhac ie wwill, e may thus in ge
  22. neral proceed, eo decermine che Curre. Lec ib.
  23. Medium FC D R be cerminated by che LTorixon.
  24. tal Line FC, r0 ertich A D is perpendiculer, ane
  25. is che AXoFthe Curre AH L wtose Ordinate i
  26. FTC; and ler rhe Ordinares TC Aill reprelene rhe
  27. Roxicies of the Medium in che Deprts AC, 0
  28. iotrich is all one, the Velociries of ehe Clobule ot
  29. Lighe in che Poines of the Curve M. The ineur.
  30. ved Ray, oe ehe semita ot che Globule is che
  31. Curve AM B, the nacure of irhich is eo be inqui-
  32. Ee
  33. red into. The Lines FC M and cn m aro paraI
  34. sel EO F C, and MLn paralel 1O AD. L et AC,
  35. a, C0 =M n = Y, C M =,, nm-y, A M- it
  36. NImq TIC D; and a a Rable quentity ca-
  37. ken at liberry. IE e Duc Mm For Radius, ris
  38. plain charnm is che sine ot che retracted Angle
  39. Cor ot elie Curres inclinarion ro rhe Verrical Line
  40. Nn aC the Poine M) cherefore since the Sires ot
  41. oF chose ansles are. (a5 Was laid betore) alvays a5
  42. che Celericies, ehem
  43. is, 2 is a constane Racio, (0 chat 7 = 2. (sor che
  44. Ruxions a beins raten equal, as chey may chen
  45. is also a ccable Rario) and a; =oz, and aa y7
  46. =00Z 2i but 2 2=y y + i ir, cherelore aa yy
  47. General Equation in Fluxions For che Curre AMB.
  48. No ris all ore Whecher re consider ehie Incre
  49. riries os che Mediums in chose sereral Points, chac menes of che Velocies as dependins upon rhe BC
  50. i5, asthe Velociciesot the Globule oF Lighe in hore) dium more or less rehstins che Globule, or ihe
  51. places; and since also chose retracted Ansles are scher abstractins trom all considerarion ot a Me.
  52. he Anples ofche Inclinarion olche Lines b e, eh, dium vre suppose chem 20 be che etects os ano
  53. 2C. 20 ihe Perpendiculars b0, ef, _cc. ris elear cher Cause, buc acting accordine ro che lame LaW
  54. hacthe Curre must have chis ProperFy, Thac ehe chac ras observ d in rhe former, since on borhe
  55. Lines of the Inclinations to a Perpendicular must sides the Curve is Suppoled to be run in the CitOrE
  56. be erery where in che Ratio ot ihe Celericies.
  57. est rime. Nou il ve imagine che Globule c0 be
  58. a heary Body, ana Graviry 1o be the Couse ob
  59. che Accelerarion, rhen che Curve A e si will Be
  60. che common Paca bola. sinec H C oc v reprelento
  61. Lec us imaxine che Medium AB C D 1O
  62. inace up ot Fluids ot several differene deprelsc
  63. DenREY, buE rhe Densiries (proccedins M
  64. rhe several Incervals oF rhe ParaIlelS AC, C e,
  65. Et Bo) eo encrease or diminim in a cerrairt L aB
  66. In chis lixample we II suppole che degrees ot la
  67. ciry in che Fluidsto encrease a5 Wve 80 tront 10
  68. vards B; (0 char che Ray a b is turned by l
  69. Retraction into b e, and b e into ch, and et
  70. into hI ecco. trom ehe P’erpendicular b 0, 0),
  71. ecc. at Ihe Points ot Incidence b, e, h. _. ec
  72. prick d Lines beins che leveral Incident Rays pro
  73. duced. The retracted Ray incercepted belleer
  74. ehe Poines b and o, viz. b ch l0 is a P0l)br
  75. made up oF alt che Retracted Rays, b e, 8B, ec
  76. erhich defect trom onc anocher by che Angles 0
  77. Retraction made ac the several Poines b, e, dc
  78. Voir it che Distances of che Parallels are lellertc
  79. intinicesy, che Polzson b c h lo becomes a Curve
  80. Lirie; bur al(o che Curve Ray in its paltase chro
  81. ehc serctal Mediums is suppoled ro cake luch
  82. courle, chac it comes trom the Radiacins Point c0
  83. che Point co be enlighined in che Morrestrime, ris
  84. evident (since eis lo every where chroughour the
  85. PolygoH b ch10) char che Curre inco wrhich char
  86. Dolyson degenerares (beins ihe Curve Wvhich che
  87. Ray by rhe continued Retractions is bene into) id
  88. ehe Lishr palles trom che Poine b ro che Poineo in
  89. rhe Morcest Time. And since che Sines ine le.
  90. sracted Ansteo ob e, feb, ecc. are Aill as the L a-
  91. Ebe Curre oF tvisteA MOriOn, Or thac By wotich 0 0yy +0DX X, and r-- 2, ehich is che

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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/806933011:0144?run=74