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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: 0.88.

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The machine reads it as

  1. COR OL L A R Y 11.
  2. To inseribe any Polyeon in a
  3. scribed, is lels chan che Cirele, as is mani
  4. Fest; because the chins containine, is alvays
  5. Breatee hanchechiims contained.
  6. The Perimeter ol every Polyson circumscribe
  7. abouc a Circle, is greater rhan the Circum
  8. ference ot thar Circle; and che Perimeter
  9. ot erery Polyson inseribed is letS.
  10. Hence,
  11. A Circle IsCGdao a Risht Ansled l1.
  12. whose Base is the Circumference oF the C in
  13. clequs andirs leishe he R adius oFiE.
  14. son conscribed, and sreater than any inscribed.
  15. (becaule the Circumterence oP the Circle, Wwtich
  16. is the Bale of the Triangle, is grearet than che
  17. Compass oF any inseribed:) Therclore it illbe
  18. equat co rhe Circle. For it chis Triangle De grca-
  19. ter than any ching that is bigger chanche Circle,
  20. and leslex than an chins that is lesser tlan the
  21. Circle; I Follos, thac it must be equal to che
  22. Circle.
  23. This is called the Ouadrature ox Squarine of
  24. ihe Circle; chat i5, 10 tind a Righr lined Figure
  25. equalro d Cirele; uxon this Supposition, YMac
  26. etie Basis given, is equal ro che Circumference ot
  27. che Cirele; blic accually eo tind a Righe Line c.
  28. qual to che Circumference Of a Cirele, 1S nO y et
  29. diseovered Coometrically.
  30. And erery Polyzon circumseribed about a Cis
  31. cle, is bigger than ir; and every Polycon in
  32. CDROLLAKY MI.
  33. For this Friansle Will De lesser than any Poly-
  34. Ditaa a che Diamerer oc che Circle, in.
  35. to ds mans equal Parrs a5 ihse Polyson
  36. IS EC
  37. Wwhole Diamerer make to Arks interlectuss Caliu
  38. Olites aue a5 in Z3 and lay z chro , Me se
  39. cond Division oF the Diametet, Whick vill
  40. find beleh cne LOIE p. 50 IS l Chord a Y
  41. have sides; ana cen Wia ihe Lensih ot thar
  42. he Side oF che Polyson required; wtich here is
  43. a Pentason.
  44. POEXGON Exterior, in Forrisication, is the
  45. Distance oF one Point oF a Bastion trom the
  46. Point of another, reckoned all round the Work.
  47. POLZCON Incerior, is cheDistance betweem
  48. the Centres of che truo Bactions.
  49. POLTGONAL Numbers, are Cuch a5 are the
  50. Sums or Ageregares of Series oF Numbers in
  51. Arichmerical Progression, beginning wich Dmes
  52. and (o placed, rhac ches reprelent rhe Form ot 2
  53. Polyson. Thus,
  54. are Friangular Dumbens, Because they are the
  55. Agoregares oE a cerrain Number of Points Pa
  56. ced in che Fom ot Trianoles. And
  57. oe
  58. aee Ouatranenlar Numbers, e i
  59. FOLTORAM,

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/806933011:0644?run=74