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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: 0.89.

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The machine reads it as

  1. R
  2. 6. The Line BH = DH is che side ot che s drano chconet ile Beginuine or che chird siom
  3. a Righr-Line, to che oppolite Concave Circumte
  4. rence, and chence anocher Kiehe Line ro che end
  5. ot che Diameter B.
  6. Thus, c. 8. c0 divide che Circumterence ince
  7. chree equal Paris, divide ihe Diameter AB inre
  8. chree equal Parrs, and chen omierins crvo oF. che
  9. chroustiche beginnins of chechird, or chroueh B;
  10. dram the Righe Line D3, and From Z che Linc
  11. B, Wrhich last will be che Side of che Priangse
  12. o be inscribed; (0 + B will bc che Side ot
  13. Square, B5 che Side ot 2 Pentason, B7 OF an
  14. Freptacon, _c.
  15. Je Plane ot any Circle may be considered as
  16. made ux of an infinice number of Concentrical Pe
  17. ripheries encrealins trom che Cenrre in Arichmeri
  18. cal Proporrion; Wheretore a Rank ot luch Peri
  19. pheries will beco a dikee Number equal eo th.
  20. Greacest, 25 120 2. Wheretore the Arca ot L
  21. Circle is co the surface oF a Cylinder whose Feiphr
  22. is equal eo rhe Radius, and ier Base thac Circle, 2
  23. 2+02. And consequenely, it che Lleighe ot cho
  24. Cylinder had been equal co che Diameter oF chc
  25. Cirele (which is ehe ease ot a Cylinder circum (eri.
  26. bine a Sphere) ihe Curre Surtace ot che Cylinder
  27. ronld be equal r0 +rimes che Bale OF ic (1. e.
  28. che Surtace ot a Sphere is quadruple ro cho Ares
  29. oF onc ot is grear Circles; For the Surtace oF che
  30. Sphere is equal ro che curred Surtace oF such 3
  31. Cylinder; as is proved elsewhere. Sec Cylinder.
  32. The Proportion of the Periphery of a Circle rC
  33. is Diamecer is sels chan 335, and prearer chan
  34. 33
  35. 1
  36. The Area ot any Circte 10 che Square de ile
  37. Diameter:: is 45 i OF che Periphery co che Paid
  38. Diameter, a5 is proved under Cylinder
  39. The Area OF any Circle is incommensurable 10
  40. the Square oE ihe Diameter; and (0 is also che
  41. Periphery 10 che Diamerer. Sec Sturmiuss Ma
  42. obes. Fnueleat. Prov. 43.
  43. CIRCLE. Pquan, in che Prolemaick Aistrono.
  44. my, is a Circle deseribed on the Cenere oF the F.
  45. quant; ies chiet ule is ro sind che Variarion ol che
  46. tiest lnequalicy.
  47. GIRCLE os perperuat Apparicion, i5 one oE che
  48. lesser Circles parallel ro che Equator, beins deleri
  49. bed by any Poine ot che Celestial Sphere wtict
  50. couchech che Northern Poine oF che Horizon, anc
  51. carried abour wich che Diurnal Morion. AII ehe
  52. Scars thar are included ichin chis Cirele never ie
  53. buc are alvars visible abore che Horizon: And
  54. Thc.
  55. CIRCLF os perperuat Occulration, is anoche
  56. Circle ac a like diltance trom che Equator, 2n
  57. contains all chole Scars which never appear in ou
  58. lemilphere. Buc che Scars siruared becween chele
  59. Circles incestany rise and set ar cerrain rimes.
  60. CLES of Altirude: Sec Almieanters
  61. ZCLFS os Declination on the Globe: S0 Pom
  62. Nricers call the Meridians on wtrichche, Oeclina
  63. tion or Diltance (xom che L. guator of any Planet Or
  64. Star is aCCOnHICa
  65. CLESos Lonsu, M Ide Clobe, are prea
  66. Circles pakinz chrough che Scar and che Pole et
  67. che Fctiprick, where chey determine che STar:
  68. Longicude reckoned trom che besinnins ot Aries
  69. On chele Circles are accounced che Latirudes ot
  70. Pevrazon.
  71. The Line AR (which is che Chord oF ha
  72. L LALK AF) is che B
  73. ot an Octason inscribed
  74. 8. The Line DL. (etich is 3 oF cHC AI.
  75. B AD, i5 che side OE a NonaGon
  76. 3. Lde Line E. L is ihe lide ot a Decason.
  77. eroblem II.
  78. L0.avide ihe Circumterence ot 2 Cirele in
  79. ans numbet be ciscrat Paits.
  80. Opon ehie Diameter A B (OF che given Circle)
  81. make an Fquilareral Triangle ABD, and divide) The ScarS.
  82. ehe Diamerer AB into as many equal ParIS aS
  83. CIRCLESof Posicion, are Lces PaMIBS Cy The
  84. rou desson chere Mail be Sides ot che Polyson eo common incerlections oE che Forizon ani Mcridi
  85. De inlcrisea, or as the Circle is eo be divided in- )a aH CMFOVSI a cestee or the Lcliprict, on
  86. ven
  87. Co; and omierins en d, l. 8. , pe Cenrre ot ans Scas; or ocher Poinc in che fiea-

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/806933011:0161?run=74