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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: 0.89.

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The machine reads it as

  1. and also substractins 50 from it, or ix trom 50,
  2. Wwillmake 16 Dcgrees: Then chis Sum and Ditre.
  3. rence caken trom che half Tangenes, and set cach
  4. Way From P che Pole oF ihie Oblique Circle, ivill
  5. sire che Diameters cuo Exircams a and b, ox the
  6. Poines ot ehe Incerlection ot che Parallel. and then
  7. the Midale Distance becweena and b, is elie Center
  8. otche erue Parallel Circle P a b, wvtich is Parallet
  9. to che siren Oblique Circle AB C, and ae the gi
  10. ven Distance oF 40 Degrees; or che half langene
  11. oF 84 ser trom 8, Wwill sire b, and che halt Tangent
  12. ot 16 Ocerces Pec also trom e, will sire che Poine
  13. a che civo ends ot che Parallel Cireles Diameter.
  14. PR O P. XXI.
  15. Problem 10. Xo measure any Projected Arch of a P a
  16. rallel Cirele.
  17. Eere will bechree Varieries.
  18. P. HF ic Be Parallet to the Primirive, chen a R uler
  19. laid chro the Cencre and che Dirition oF che Limb,
  20. Wwill Diride che Parallel into che lame Degrees, Or
  21. Vecermine in che Limb che Ouanriey oF any ArK
  22. Parallel t0 its
  23. 2. YF the Circle be Parallel 10 a RiphE OniC, 25
  24. a b dis, in Cale che second ot the last Propolirion,
  25. and ic erere required eo Meature chat Ark a b, OP1O
  26. diride it inEO PFOPeF DegrCCS : Since ThaL Parallel
  27. Circle i8 66 Decrees, 30 Minutes, dictane From P.
  28. che nearer Pole oF theRishe Circle A B, anid conse
  29. quencle 1Y3 Deerees, 30 Minutes, distane from ies
  30. Othet Pole, rake che halF Tangene OF PL3 DeorCCS,
  31. 30 Minutes, or the Tangent ot its hialF56 DCgrees,
  32. 45 Minutes, and wich thac Distance, and oh the Cen-
  33. rre of che Primirire, deaw 2 Circle Parallel co the
  34. Limb: And divide chac halF OF ic, wrtieh lies cO-
  35. wards che opposice Pole oF A B into its Desrees
  36. wvtrich is casilr done by a Sector: Thena Ruler laid
  37. From P, and che Pqual Dirisions oF thar Semicir-
  38. cle, Mall Diride a b, or Mealure any ParE
  39. OFIE.
  40. 3. FoMeature or Diride che Ark OF a Circle
  41. hichis projected Parallet eo an Oblique onc.
  42. As supposethe Circle a b which is P’arallel eo the
  43. Oblique one AB C, in Case che ihird (Fis. 2.) OF
  44. the preccedins Proxontion: And at che Distanice ot
  45. 40 Degrees: this Parallel Circle beins 40 Dcgrces
  46. distant from the Plain oF the Circle A B C must be
  47. be 50 Deerees distane From irs Pole, and conse-
  48. queney r30 Desrees trom thie oppotite Pole. Pake
  49. FherCFOre Fhe HaIF TAnGCNE OF FZO DEGFCCS, OF LMC
  50. Tansent oF its halF65 Degrees, and with chat a5 a
  51. Radius, deaw a Cirele Parallel Eo the Limb oF che
  52. Primirire; Wrhich Circle Divide IE InEO PFOPeF DC-
  53. orees: Thien MaII a Ruler laid chro P, and che c
  54. qual Dirision ot thar Circle, cure the licele Circle
  55. A b intoits proper DegrCes; Or truly sire thie Mea-
  56. Ture oF any partOE ic.
  57. SPHERTCK Trianele, is a Space included wict.
  58. in che Artes of chree great Circles otche Sphere, In-
  59. cerlectins cach orher on che Surtace oF ihe Globe.
  60. and erery suchi Priansle is cirher Duadrantal wticti
  61. harhon one Side (ac le aMt) a Ouadrarit and onc AN-
  62. sle RishE. Or non duadrancat ertrich hach aII
  63. Inche Righe angled Spherick Frianglo YR 83
  64. FT = 54 Degrees 15 Minures, the Suns Longi
  65. eude From the nexe Pquinoctial POInE, OE 24 DC.
  66. Prees +5 Minures OF 8.
  67. B-
  68. S1 Desrees 52 Minures, ihc Suris Rixhe
  69. AsCenSOn.
  70. e
  71. nation.
  72. 18 Degices 15 Minutes, ihic Sunis Decli-
  73. S = ehe Angle OF che SunS POTTION.
  74. Y, che Ansle oF che Suns ercarest Decti-
  75. nacions
  76. lo malee the Triancles
  77. Nich60 DCorCeS OI a LHIC OL CHOTAS, desctiDe
  78. the Cirele Z CIE C Wvhicti is the Limb, or Pri-
  79. mitire Circle, and here represents che Solstitial co-
  80. lure. Deaw che Diamerer PC, wrtich ill be
  81. the Equator e here represented by a Righe Linc, be-
  82. cause the Fye is aF Y Or , in irs Plane. Take
  83. 23 Derrees 30 Minutes trom che same Chord, and
  84. set ic trom RroC, (0 Mal C IE be che Bclipriek
  85. utrich wvill be a Ristit Line also for rhie Came
  86. ReaIOn. Then cither etie Suns Place set From Y
  87. on ehe Peliprick, or his Righe Ascension Per From
  88. etience on che Equator, will gire che Point S, Or
  89. R, accordinsly. Then drair Z N at RighE AN
  90. eles ro ihie lquaror, and (0 rou will hare chree
  91. POintS Z S NV, Or Z R HI, chro which che Circle
  92. oE Declination Z S RNI, mas be eatilys dravno
  93. L0 Mensure the dides ana AnCleS.
  94. Tured on the Scale oF halF L’angenes, by Prop. 6. OF
  95. Sphericke Geometry; and che side P ismeasured, by
  96. Andins l, che Pole oF che Oblique Circle Z. 8HI;
  97. and from chence laving a Rulet eo thC ENO Fxrre
  98. mirie softhe Side P, (3. 0.) thro 8 and R, in Or-
  99. der ro reduce ehem to rhe Limb in P and e; che
  100. its Sidesmore or less chan 90 Degrees; and all IIS. Ark P. C, mealured on che Pame Line of Chords,
  101. Amslesbisser oc testet chari Kight Oneo.
  102. ill sire che Ouancies oF ehc hide S H == 18De
  103. BiceS, 15 Minures.
  104. Lhe Application of Sphericke GCOMCEEY, tn
  105. the Construction aud Mensuration of a
  106. tbe Parts os Spherick Frianeles.
  107. The Sides FI and B DeIHS Mall Lhes; aremea-
  108. An

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/806933011:0767?run=74