Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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: 0.87.

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The machine reads it as

  1. Ler A B be 2 Church, Stceple, _c. Whose) cake the Angle FTO MI 60 degrees; a5 allo, the
  2. Heiphe is required; Vour Scarion beins aE D, BC-
  3. eeen Which ard che Balis of the Stceple there is
  4. a River, 10 char ic is inaccessible, thac is, you
  5. cannoc come ro. rhe LOOr ac B.
  6. FirA, LEOM D WLH VOur ONadranE, (Or ch.
  7. litce TnArUmenE) take che Angle of Altitude ADB.
  8. Which suppole 52 des. 30 min.
  9. 2. Remore Tout MMICLMent tO another Station,
  10. a5 to C; Were rake allo che Ansle of Alcirude
  11. AC B, 27 dez. 30 min.
  12. 3. Mealure IHC Manee Derweeo. the EWOSta
  13. HonS, DC, Wtich let bC 92. 7 FOOr.
  14. Ansle XOM 39 des. 54 min.
  15. Thiraiy, Meature cheDistance OP== 1 32 Fect.
  16. NTow, in che Trianole FTOF, You have giren
  17. the Anele HLO 10 dez. ihc Ansle (O L. 120 desi
  18. and ehe Distance LO F32 LOOE.
  19. Thenby Case 3. OF Oblique Angled Triangles,
  20. AS, S, CHO: OL:: 5, HL O: E1C
  21. 20 : 132: : 5, 40 : 218.
  22. Then by Case 1. Ol Risbt Ancled Trianeles, (M
  23. is Found 10 De 2I4 FOOF.
  24. Now, in the Frianole FMO, pou have siveri
  25. the Angle FO M 60 degrees, 2nd FO 248, 01
  26. Now, the crvo vilual Lines DA, CA, rogether the Perpendicular, E MI, 2I4 FOOF, requireu, the
  27. wich che Distance OC do makre the Oblique Anzled Base MO; twill be, a5 Rad: FO: : S, FO M:
  28. Triangle ADC, Wherein chere is siven, the An.
  29. Ble AC. B. 270. 30. and by che Anele A. DB
  30. 52 de5. 30 min. You hareche Ansle ADC 127 de
  31. 30 min. ies Complement r0 180, and consequene
  32. ly vou have che Anele C AD 25 degrees; and al.
  33. Coche Side DC 92,7 Fecr.
  34. So. That haring che chree Angles and one id
  35. eiven, che Side AD may be found by Case 3d. c
  36. Oblique Angled Friangles; For che Analocy is.
  37. 1555.
  38. AC: DC.: 8, ACD: AD
  39. 25,00: 92. 7:: 8, 21. 30: 102. 3
  40. By Wvhich means vou sai D che Hypoche
  41. huse of che Righr angled Friangle AD B; chen
  42. in the. Right angled Triansle AB D, rhere beins
  43. siven AB, ehe Hypochenule, 101, 3, and che
  44. Dendicular
  45. MO124 FOOE.
  46. AlSo in the Friangle KMO, there is sivem
  47. N1O, +24, and che Angle KO MI 39 dez. 54 mino
  48. required XCMI; Whieh by Axiom 2d. Plain Pri-
  49. angles is Found 10 bC 108, 7. FoOr, Wwhich beins
  50. subducted Erom FTML 214 leare 1053 FoOc For
  51. the Leiohe oF rhe TOVeE.
  52. ALTITODE, in astronomy, is oE che Sun, Stars,
  53. OF any Planer Or Point OE the LleavenS, an ArCH
  54. ot an Azimuth Circle, contained berween che Ho-
  55. rizon and any Parallet oE altirude, or betveen
  56. the Scar, Planet or astigned Point in the Lcavens,
  57. and the FToriZOn.
  58. Fo find the Suns Alticude ac any time by rhC
  59. Globe; Rectisie your Clobe and Ac rtie Duadrant os
  60. Altitude; ehen turn che Globe abour till the LTour
  61. Index Men che rime ol che Day, and Aay ic
  62. chere; after ehich bring che Ouadrant FO CuUF che
  63. Sun sPlace in che Fetiprick, and chen chac PlaCE
  64. ThaII chew the altirude on che duadrant.
  65. To Find che Suris Alrirude and LTour of the Day.
  66. when he is due East or West, and aboreour Ll0.
  67. rizon, by checlobe.
  68. Flavins Rectisied the Globe, and sicted che
  69. Ouadrane, bring ic ro cur che True Past Point
  70. and then rurn che Clobe rill the Surs Place in the
  71. Eeliprick cur the graduared Edpe ot etae Oua-
  72. dranc, for chen char place will mew the Atitudo,
  73. and che Index, che FTour
  74. Lo sind che Suns Alticude on any Azimth,
  75. by the Clobe
  76. Sec ihe Onadrane eo the Azimuth diven, and
  77. then rurn the Globe eill his place in the F
  78. cliprick touch che Graduared Rdge oF che. Oua-
  79. dranc, (0 MaII char place sive the Alcirude on the
  80. Ouadrane.
  81. By Triconometricat Calculation.
  82. 1. Totind che Suns Altitude, wtien ic is due
  83. East Oe WV est
  84. Hlarins che Lacitude ot the Place, and che
  85. Suns Oeclination Biren.
  86. Say. As the sine of the Laritude is to rbe Ra
  87. dius, so is the sine os ihe Sun s Declination, 10 ibe
  88. Sion of the Suns Aliitude required.
  89. Example, Suppose the Latirude be 51, 30
  90. And the Suns Declinarior
  91. Then torhe AC. Co. DEthe Sine oF 5F, 30,0, 106455
  92. add che sine ot
  93. Summ is che Sine oE
  94. 21 31 9, 300275
  95. 14, 49, 9, 406730
  96. Nhich is che suns atirude chac Day utien due
  97. Ansle ADB 52. 30 ris calie co Aind the Per.
  98. By Case 6. OFRishe. aneled Clain Friangles, Fe
  99. the Proportion or Canon is,
  100. Ad Rad.: AD:: 5, ADB: AB.
  101. 5, 90: 102, 3:: 5, 52.30: 80,5. LCC
  102. 3. Fo cake che altitude ot a Lomet, Stceple, dc
  103. or che likre, wrtich Handech upon aFTill.
  104. Tet FTK be a Tover Randing uxon a FTi
  105. aril sou candins ac L, desire cornon cheHleishE F ast OP West.
  106. Chereot abore the FTill
  107. FIrA, TakC the Ansle ITI M 40 degrees; a5
  108. al(O, The AEnSIC R L. MI, 22, deg. 3 MM.
  109. deebaaly hemiore doue toie ie ette eo b, ndti
  110. vado aud etol aoio ld ad ebe lcnine et be ta
  111. rieuct
  112. 20 6 Ana EdC duns Abrtuae on ans loue i
  113. the Equinoctial.

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/806933011:0060?run=74