this post was submitted on 21 Sep 2024
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A square has all right angles inside the structure. This thing has two inside and two outside.
Parallelogram.
But arent the ones from the circle 90 degrees on the inside of the circle as well? The squares could've just as well been placed on the other side of the (circle) lines.
No, the two angles are not equal. Outside/inside angles add up to two π radians. A square has four interior angles of 1/2 π radians, and four exterior angles of 3/2 π radians.
This is true, however now it has 4 inside and two outside the structure, so it now has something a square doesn't has.
If you add that to the definition, you could still have a “square” with a segment of a circle connecting the edges in the middle
Then that section would be of a shorter length.
Ah, got me