Does this prove the Inscribed Rectangle/Square Theorem?

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  1. Imagine a circle, with four points on it forming a rectangle.

  2. Twisting and bending this circle along those four points, any curve can be produced. $blacksquare$

Is this a proof of the Inscribed Rectangle Theorem? I thought this up the other day and it seems fine to me.



If this is actually a proof, then isn't it possible that the four original points could be forming a square? Wouldn't it prove the Inscribed Square problem too?










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    up vote
    2
    down vote

    favorite












    1. Imagine a circle, with four points on it forming a rectangle.

    2. Twisting and bending this circle along those four points, any curve can be produced. $blacksquare$

    Is this a proof of the Inscribed Rectangle Theorem? I thought this up the other day and it seems fine to me.



    If this is actually a proof, then isn't it possible that the four original points could be forming a square? Wouldn't it prove the Inscribed Square problem too?










    share|cite|improve this question

























      up vote
      2
      down vote

      favorite









      up vote
      2
      down vote

      favorite











      1. Imagine a circle, with four points on it forming a rectangle.

      2. Twisting and bending this circle along those four points, any curve can be produced. $blacksquare$

      Is this a proof of the Inscribed Rectangle Theorem? I thought this up the other day and it seems fine to me.



      If this is actually a proof, then isn't it possible that the four original points could be forming a square? Wouldn't it prove the Inscribed Square problem too?










      share|cite|improve this question















      1. Imagine a circle, with four points on it forming a rectangle.

      2. Twisting and bending this circle along those four points, any curve can be produced. $blacksquare$

      Is this a proof of the Inscribed Rectangle Theorem? I thought this up the other day and it seems fine to me.



      If this is actually a proof, then isn't it possible that the four original points could be forming a square? Wouldn't it prove the Inscribed Square problem too?







      problem-solving alternative-proof interactive-proofs






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      share|cite|improve this question













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      edited Sep 8 at 6:11

























      asked Sep 7 at 9:34









      user5011

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