Does this prove the Inscribed Rectangle/Square Theorem?
Clash Royale CLAN TAG#URR8PPP
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- Imagine a circle, with four points on it forming a rectangle.
- 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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up vote
2
down vote
favorite
- Imagine a circle, with four points on it forming a rectangle.
- 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
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
- Imagine a circle, with four points on it forming a rectangle.
- 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
- Imagine a circle, with four points on it forming a rectangle.
- 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
problem-solving alternative-proof interactive-proofs
edited Sep 8 at 6:11
asked Sep 7 at 9:34
user5011
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