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: 0.85.

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The machine reads it as

  1. adine in ihe Square A B C D, the Difference be
  2. eweon the Sides and Diaxonal = 6, or a, t0 finc
  3. eho Side os che squace.
  4. Then x - a = A C the Diax Mal.
  5. Bur(By 47 c. Y Fucl.) AC 9: = 2 A D 93 OF EO 2 X X.
  6. That IS X = 2 X a = a a = 2 X X
  7. PR OBL. F M IH.
  8. and becaule ihe Angle ax the Lop is a Rigti
  9. one, theretore p p == b x, WICH streS d-
  10. nocher mar oF exprestins p P. S0 hal,
  11. Cc
  12. b x and conseguent 0s
  13. Pransposicion.
  14. C = XX b x. whiich is an Adfected u2.
  15. drarick ot che trst Form. Muscibre,
  16. 50-
  17. i == X X - -. b X -
  18. pleacine che Square. Mud,
  19. a-
  20. Caner, V cc +--
  21. by com
  22. . e Lvolurion.
  23. Geometricat Construction
  24. Foin cogerher ac RiehE. anoleS C F = = b and F A
  25. ele B E D, and chrO thC CCnErC CMTAWIHC LMN A
  26. Expunge chen x x on both sides, and ic wilt be
  27. 2 X a - aa = X X, and then by Transposition,
  28. X X = 2 a X = a a. Compleat rtie Square.
  29. aud it will bC X X = 2 a x = a a = 2 a a
  30. WheretOrCx = a = V: 2 a e,
  31. And consequentts X = V: 2 a a - a =
  32. Civen one segment os the Base of a RCht- aneled Lr-
  33. angle, as also the Side os the Trianele Adjacent to
  34. the orher Serment os the Dase; tis required tofinc
  35. the rest, and ro form the Triansle.
  36. Suppose it done; and tet Me Desment b. and che Whence dra che rvo L ess B R and E A. S0 is B
  37. Side o, be both knonn ox siren. L. et x, the orher K A che Triangle (ougHE.
  38. Cerche Side Comehr be colled i, dud 6 = a.
  39. C, Then ivich thelauus LMeribe the Cir-
  40. OB, Ereet chen ac D che P’erpendicular D R,
  41. Which Limir, by Describins a Semicircle
  42. on BA
  43. thar Semicirele MaII cur the Perpendicular in the
  44. Poiur K, che Vertex oF chie Priansle required,
  45. WVADRATRE (in Ceomet) is a Curre
  46. Line chus generaced.
  47. Lex there De 2 Radius OF a Cirele, a5 AD, which
  48. imagine ro move on the Cenee A cont ie CI-
  49. cumterence of che Ouadrane D B, and at the same
  50. time lec the side OF the Square C D move equaliy
  51. donnvards, Pothac che Radius A D and che side
  52. Oche Square CD, may come tothe Line A B 1O
  53. gecher. Or ler therighe Line D A, and che Oua
  54. deantat Ark D B, be borh dirided ineo a lite Num-
  55. Det oF equal ParIS, as in this Cale chez are each
  56. into 8. And ro the Dirisions oF che Ouadrant let
  57. 25 ulans Radii be drawn trom the Cenere A, and
  58. chrouch che Dirisions in AD a5 mans Parallels 10
  59. CD, loe chen il a Curve Line be dcaron neactys
  60. Hlere cherelore, lille L. 1 hupposed 10Be a 1r
  61. Perpendicular.
  62. connecline
  63. Seoment oF che Bale, De Coughe; Which is all
  64. is necessary ro solve che Problem.

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/806933011:0684?run=74