Euclid Book 4

Proposition 2

Construction

Statement

[an error occurred while processing this directive]

Statement HTML

To inscribe inside a given circle a triangle similar to a given triangle.

Construction steps

[an error occurred while processing this directive]

Construction Steps HTML

  • Let the circle through the point A centered at O be the given circle and DEF the given triangle.
  • Construct GH that is tangent to the circle at point A.
  • Find a point C on the circle such that CAH = ∠DEF.
  • Find a point B on the circle such that BAG = ∠DEF.
  • Join BC. ABC has been inscribed in the given circle and similar to the given DEF.
  • Original statement

    ϵἰς τὸν δοθέντα κύκλον τῷ δοθέντι τριγώνῳ ἰσογώνιον τρίγωνον ἐγγράψαι.

    English translation

    In a given circle to inscribe a triangle equiangular with a given triangle.

    Computable version

    [an error occurred while processing this directive]

    Additional instances

    Dependency graphs

    [an error occurred while processing this directive]

    Classes