Type:

Other

Description:

Given a point Z and an inversion circle ... with center at point Q and radius ... , consider the following construction to obtain the inverse Z' of Z in ... . Draw the circle centered at Z passing through Q; let it intersect ... at points A and B. Draw two circles ... and ... centered at A and B both passing through Q. Their second point of intersection is the inverse of Z in ... . We justify this by the following reasoning: if we invert ... and ... in ... we obtain (red dotted) lines passing through Z; these lines intersect at ... and Z, hence their inverses must intersect at the inverses of ... and Z, namely Q and Z'. This Demonstration lets you drag the point Z (red); the construction works for all points Z at a distance from Q greater than ... .

Subjects:

    Education Levels:

      Keywords:

      EUN,LOM,LRE4,work-cmr-id:398110,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/InversiveGeometryIVInvertingAPointWithACompassInThreeSteps/,ilox,learning resource exchange,LRE metadata application profile,LRE

      Language:

      Access Privileges:

      Public - Available to anyone

      License Deed:

      Creative Commons Attribution 3.0

      Collections:

      None
      This resource has not yet been aligned.
      Curriki Rating
      'NR' - This resource has not been rated
      NR
      'NR' - This resource has not been rated

      This resource has not yet been reviewed.

      Not Rated Yet.

      Non-profit Tax ID # 203478467