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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. jected by ehe directione
  2. lven in Spherical Geometry; che Angles may be
  3. likevise tound, wichour Calculation, and cviit
  4. Nand chus. LhC Friansse Will BC C Z. D. Wotere
  5. In a Spherick Priangle, thar is Righr angled or
  6. Onadrancal, the eruo pares vrhich are adiacenE +O
  7. che Rishr angle or Ouadrant, cogether wich che
  8. Complemenes ot che orher chree, are called, by my
  9. Lord Neper, The Five Circular Parrs. And if ihc
  10. chrec pares wrhich enter the Ouestion, (viZ. 2 giren-
  11. and i’required) have no incerruprion, (no cho a
  12. Rishe ansle or Ouadrant come betveen, ris nOt
  13. connced an Incerruprion) chac parc irtrich is be-
  14. cveen che orherrvo, is called The midale part, and
  15. then the orter rvo are called Extreams adjacent, Ox
  16. conjunet. Buc il chere be an Incerruption, rhac
  17. parr which is separared trom the ortier tvo, is
  18. Called The midale part, and the Other LWO aVC FX
  19. treams opposite, or dispunct. This beine premisd
  20. Neper, alcer a diligene vie oFthe Solurions oF aII
  21. the Cales of Rishr angled and Ouadrancal Prian-
  22. Eles, has obserred, Thac chey all agree in onc OF
  23. ro Proposcions, viz. Thar the Radius multiplied
  24. by the Sine os the midale Part, is equal to the Rect-
  25. ansle or Product made of the Tansents of the FX
  26. creams conjunct, or to the Rectansle of the C.0. fines s
  27. the Extreams disjunct.
  28. is Propolition was Invented by che Lord Ne-
  29. per, purely For eale oF Memory, and has been ap.
  30. lied in aIl ies Cales by most Authors; as palucu
  31. arlY, by AIT. Nemton, Normodu, Al f. Moor, WV ard.
  32. dec.
  33. Some more F.xamples os Oblique Spherick Triatus
  34. in Numbers.
  35. In che oblique Frianele BP D, ((ee ihe Fipure
  36. Collomins. )
  37. I5 et
  38. C 1 0L L+lL.
  39. he chrec anxles beine piven, 10 find a Side.
  40. The Aneles adjacent ro che Side requir d, cali
  41. Tegs; and che Angle oprolre, cal Basc: Then
  42. Work as in the rrch Case.
  43. For, such is che Operation in che Suxplemental
  44. Friangle, whole Angles and Sides are equal toche
  45. Supplemenes ot che Sides and Anples ot ihe Trian-
  46. ele propoled: Bur Arts and cheir SupplementS
  47. have che lame Sines and Pangenes.
  48. Fxample in Numbers.
  49. Inche Frianele BDP, chere is given che
  50. P = 143. 0, the SunsAzimuth fromthe NortI
  51. AneleZ B = 15. 04, the Ansle os the Suns Posirion.
  52. CD = 30.00, the Nour from Noon.
  53. Required che SideP D, wtichis rhe Complemenc os
  54. ibe latirnde.
  55. Comp. Ansle P = 370 0012 Ar. C0, OF 50 220537
  56. Ansle D = 30 00 5theSines 20 302030
  57. Ansle B = 13 04 = Ansle op.
  58. Sum = 82 04
  59. Sum == 4+ 02
  60. =Sum = Angle op. 25 585
  61. dines L9 817233
  62. 9641323
  63. The sum oE che + Logarichms equat 19 980113
  64. Iis haltis ihe CO sinC OL 13 13 9 990056
  65. Which doubled, sires 24 261 equat P D equat
  66. Complement os Lacitude: Wrheretore che Laricude
  67. mult be 65 dez. 34 min.
  68. PD = 24 d. 28. Z Laloraat.
  69. dd. E a sai nio fiomctoe tonto esre e
  70. dC D. 2 iue taritier
  71. Suppose chere be piren the Sides
  72. Ethe Complement os ihe Suris De
  73. BD == 73 d. 004 clination, or his distancefront
  74. B=
  75. 52 d. 34
  76. the North Pole.
  77. Complement of ehe SurS
  78. altitude.
  79. Fis required 1o find che Anele.
  80. 2 che

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/806933011:0865?run=74