Leibniz Legible

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An Introduction To Algebra, fol. 173

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: 0.86.

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The machine reads it as

  1. o LlX Problem
  2. For Example.
  3. In che first line OF Pa9, 266, 7. 3: : 20. 60 -: - 7. Or 7. 5:: 12, 60
  4. 650
  5. BuT 16, 7:: 25, 205-16. Here theloneer Racius== isto che PhOrrC
  6. 25641049. In the second line (marked mith = ) 23, 7: : F20.
  7. 34C
  8. E
  9. MOPTEF = = 4522510269.
  10. IF non this question vere proposed ro vou.
  11. Pind Eleven commensurablericht lines; mhereos
  12. TheEira marbe the Radinsof a Circle
  13. Thelecondthe Tancent of an arch of that circle.
  14. Thechirdthe Tancent L
  15. Thefourchche Secant S
  16. of the doubled complement of that arch.
  17. ThCFECthe Tancent of athirdarch of that Circle.
  18. 84C
  19. - - OF 3
  20. 240
  21. TheGXEThe Fancent 2of che donbled complement of that chird arch.
  22. The sevench the Secant 3
  23. The ciohe a Radius of anocher Circle.
  24. Theninchehe Tancent of an archof chis otter cirele.
  25. Thetenththe Tancent
  26. The elevench the Secant. Fof ihe doubled complement of chis fise arch.
  27. Thc tenth line is equaltorhe third mith ticethe second.
  28. as alsorothesixt mithtmice the fist.
  29. Alsothese threc Rectangles arc equalto one another:
  30. made of the se cond line uxon the first and fourth.
  31. of thefift upon the first and seventh.
  32. of the ninch apon the eichth and eleventh.
  33. le requires no great skill to discover thacthis Qveltion is but Our ZZIL P1
  34. blem disouised: and thac che ansivers are innumerable. Wheretore, From else
  35. Frstline OF P39, 266, 267, You may BOrrON C. f. 8. l. m. n. P. 9. r. and FrOM
  36. his page eno semidiameters.
  37. 05
  38. bers by 7 cimes 26, thatis IX2, eo calie array che fractions: TOu Mall have
  39. INTCGCF.

Cite

An Introduction To Algebra, fol. 173. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/827130880:0189?run=74