Leibniz Legible

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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: 0.83.

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The machine reads it as

  1. ertrich since accordine ro che Equation it is to b
  2. aerila by r s, make 25 r = s: PB = l ex + 99
  3. 8. IF chis Equarion
  4. First sind a Fourch Proxorriona l eo m, by ala L
  5. lxtrich lec ic be p, cheretore pm-hk and conte.
  6. quanelys che Equarion will Mand chus,
  7. cheretore m: P:: k: X, 10aCHI.
  8. on
  9. =2 vecc monotes.
  10. Construction OF aM thC THrCE FOrMS OF Duadra-
  11. Mechod ot Solurion.
  12. Dran ruo Concentrick Circles, a5 in the Fi-
  13. eure, and ler the Diamerer oF che grearet de cal
  14. led S, and he Diamerer oF the leser beD.
  15. Which Lerters Sand D do represene chie Summ
  16. ricke Equarions, accordins co Mr. Oughereds
  17. and Disterence of the Rods Wouna; a5 I and d do
  18. che halt Summ and halt Differencc.
  19. PB: 10 a LMd Proporrional,
  20. 3. In chis Fquation a
  21. n
  22. =
  23. n: p, 2 Fourth Proxorrie
  24. nal; chen vist anc nes(
  25. Since theretore his Theorem lS. Tha
  26. 4R: Let V: R be imade d Langent r0 che lester
  27. the Hyportienuse LI, ane Cast etie Base oF che Tri
  28. anele d
  29. Then Will HFF d d= R, (ThaF I5; = SS- bD
  30. =R. ) Wheretore NH--R + d d; and cheretore
  31. E= V. R + d a3 chus FY, iF required, is toun
  32. iC ex had been siven, and d lequired; non since
  33. HF B dd, cheretore VHH R = d
  34. And havins chusiound IT arta d, chen H FC
  35. ) the grearer ABOc a; and H-
  36. che lesser Roor e. Which will Be
  37. Adrmarive or Nexaci accordins cophe form
  38. OF che Equation.
  39. cher Mechod, in imirarion ot Des Cartes.
  40. In the FirstFOrm, WIILI 1S, a a f d a = R.
  41. DD
  42. Circle, and a Riphr Sinc in che greater, and deaw
  43. : Ot
  44. DC X TOuBHE.
  45. First, MakC, 25 a:
  46. in Case 3.) c + d : b- 3. 4: 1.
  47. Or vou mient, (a5 in Case 2.) have le
  48. and
  49. mean Proxorrional berween a and b, a5 al50 Bc.
  50. eween in and n, which beins called (as there
  51. and q. che Equarion voula hare A00d Thus,
  52. DP -94
  53. Fa
  54. : Then harins raker AB = B, and (DF OC BL=. d, 1. e. halt che C0. eficient.
  55. on ic a5 a Diamerer deamn a Semi cirele, and ap.
  56. elgins in BC =g, the Square ot AC will be =p
  57. qq Wotich since ix is co be divided by c L i
  58. matie, ad c+ d: AC:: AC. y, che Quanciry
  59. Couxtr.
  60. 4. Dec etis Equarion a abe = 2, be propotect:
  61. First sind our (p) a chira Provorrional 10
  62. and a chen fp==aa; the Equarion will Aand
  63. tus, C = 2 chatis, DC =
  64. Seconcly, Find a Pourch Proportional (9) 10 f.
  65. and b, laving, a5f: p:: b: q ihen will fg
  66. pb; and consequentu the Equarion will Aand
  67. chus, F2= = Z. chac is, 2E = 23 and cherctore (as
  68. Reule 1.) 8: 4: : d: Z. Couxte.
  69. COHSTRDETIOH Os Ouadratieks attex ano-
  70. LeF FC= a, the lesser OF rhe EWVO ROOIS, and
  71. dta; and conleguenitus
  72. EL L6, 6y 36.
  73. D. Euelid.
  74. Then i
  75. intu

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/806933011:0214?run=74