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An Introduction To Algebra, fol. 93

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: 0.79.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. d
  2. 2
  3. 1
  4. -
  5. dd
  6. Resolution of Problemes.
  7. A Proposrion
  8. Ein an oblique crianole, a perpendicular be let FaIL FTOMM ANV
  9. thenis che
  10. Dupon the oppolite lide ichin or michout the trianele;
  11. iHference oFche squares oF the sides (AB, and BC)
  12. conteimins che Caid angle equal to the difference oF thie lines
  13. AD and CD) conteined betreen the perpendicular and BOFh
  14. d
  15. encs oEille ue (et oppohce lice atorelata.)
  16. b
  17. 2.
  18. 1 AB =-aa 1 2ab 1 bb
  19. AC + CD = d 1 0 = AV
  20. SH AD. =dd 1 2de t ee
  21. E BC =CC
  22. (OAC D = eC
  23. C+ D AB EsBC = a A t 2 ab + bb - cc
  24. c2 1 AD DCD =- dd- 1 2de
  25. 23) aa 1 2 ab t bb - c0 = dd F 2de a5 Cay es ch PropOlicion
  26. 14
  27. 15
  28. Demonstration.
  29. aa 1 2ab + bb, dd- ec- 2de = BBD
  30. C6 e6
  31. =HBD
  32. 16 aa l 2 ab + bb dd - 2de - c0 =0
  33. 17 aa- + 2ab t bb - c0 = dd 1 2de 25 above in (+3) 9. C. d.
  34. And alter ehis ray may all sorts oF Geometricat PropOLi
  35. tions Dedemonstrated.

Cite

An Introduction To Algebra, fol. 93. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/827130880:0109?run=74