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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. 2. AS Radius is ro che Sinc :: (0 is c)
  2. Can
  3. Called a Fansene: And il a Righr Lie De ataton, Wo che langene. lhacis, CO: OR:: C S
  4. insich che Langene MM Sy at LICSCIs Callee
  5. a Secant, and they boch limit one another, (0 25 rO
  6. bc etic Fangent and Secant oF etie AFKEOT: F N
  7. is the Con Parigent, and C N che Co- Secanc oFcte
  8. Tame Ark; but rhey are che Lansent and Secan
  9. ot the Complimental Aek O F.
  10. 6. The Line I L’intercepred berreen cheRish
  11. Sine and che Tangent, is called ihe Versed dinc
  12. and by some sasitta.
  13. 7. Wiaterer Number ot Dcorces an Ark wan
  14. oF a Semi circle, is called iis Supplement.
  15. 8. THC L Ine C R, Which is che parE OF the R a
  16. dius C T lving Delheen che Centre and che RigHE
  17. Sine, is alvars equalro, and mar be catten for chie
  18. Co SinerO; and Cr is equal ro che Rishr Sine
  19. DR.
  20. the Radius and Co. Sine, I ie Versed Sine: Thus
  21. DF, O.
  22. Ehe C0 decatitu Mahe a ti B a 1
  23. etie ruvo tormer.
  24. dut
  25. 3. A5 the Sine is to the Radius:: (0 is che R a
  26. dius corhre Co-Secant. THat Is, OR: OC::
  27. L C: CN.
  28. . Aeche Taneentioro ehie Badius:: Sois Ra.
  29. dinsro che Co. Tansent; dd ST: IC : : F N.
  30. Theretore che Rectangle berween the Tangent
  31. and C0. Tansenc oF any Ark is equal coche Square
  32. Ot che Ladius.
  33. FI. Lvery Prianslehas Ex Parrs, oF Whichchrce
  34. are Sides, and chrec Angles; and ot thele iti ve
  35. have chrce siren, we can tind che Fest, (except in
  36. the Case where the chree Angles only oF a Plain
  37. Trianste ace Biven.)
  38. For From chence the Sides cannor be found, be-
  39. cause ro Friangles may be Equiangular, and vet
  40. hare che Sides by no means ot che lame lenerhs
  41. We can And the rest, Ilar, it supposine cheRadi-
  42. us dirided into any Number oF equal PATES, We
  43. can bur discorer hon many of tuch parts any sine
  44. Tansent, or Secant ot auy Ark or Angle doth con-
  45. cain. No chis is reads done r0 our Llands, in
  46. che Table of Sines, Lansents, and Secants, wtich
  47. ve have, wich prodisious Induster, in Books rea-
  48. dy calculared For this purpole.
  49. 12. Wrhen cheretore any Friangle is siven t0 be
  50. resolred, the Arst chins e hare to do, is to consi-
  51. der, Thar there is in the Table oF Logarichms,
  52. Sines, Tansents, and Secants, a Friangle exactiy
  53. similar, and equal ro thac wtrich e are required
  54. tololre, and Wrhose Sides are to one another inthe
  55. very Came Proporrion ot chole of che Triangles
  56. proposed.
  57. 2. Ie must understand wrhatever Ratio one
  58. Side oF the Friansle siren, hach eo the orter Side
  59. about che lame Angle, considered as Lenerhs esti-
  60. mared or numbred br any knomn Meature, 25 sup-
  61. Pole Inches, Tards, Miles, Leagues, (9c. the rerr
  62. Tame hach checrro Sides abour che lame Ansle in
  63. che Triangles in che Tables, or in the Tabular
  64. Parrs: Which cro chines vell’ understood, do lead
  65. us inro he wole Mytters ot Frigonometrical
  66. Calculations.
  67. 13. Frixonometr, is cicher Plain ot sphericat:
  68. and boch may be relolved by che means oF 4 Pro-
  69. positions, which becaule ot their excellent Vle, are
  70. Called Axioms.
  71. 24. The hrst or wohich relaces 10 Rectansle. Plain
  72. Triansles; qere jo chid.
  73. S. A Pine, as Y Se ronchine e Circte in che
  74. Poine P, and Perpendieulax to che Radius CT, 16
  75. chroush Otrom the Centre ot che Circle C) meet
  76. 9. LLaHIY Ark DC lels chan a OuadranE, 25 FC
  77. che Disserence berirech he Radius andrhe Co. Sine
  78. drant, as che Ark Ol dorh; chen che sum de
  79. is che Verled Sine R T; buc il ic exceed a Oua
  80. DC Y C R =DR che Versed hine oF che AC
  81. 20. The Radins with che sine and Co. Sine ot
  82. any AEk (25 FO) do makre a Righr-angle Trian-
  83. BIC, 25 OCR, erhich is similar roche Triansle
  84. S L, mace OY che Radius, che Tangent, and
  85. IHCSCCanE. AHO ie Radius, the Co- Tangent, anc
  86. sence ris plain,
  87. 1. Thar as che Conine is co the Sine, (0 is che
  88. Eiplio p0 ste Tauveru. Thalio. CP: A D

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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/806933011:0846?run=74