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a² + b² = c²

63 pointsby niyazpkalmost 15 years ago

6 comments

waivejalmost 15 years ago
Cute... It reminds me of proofs my father designed into a barn he built years ago.<p><a href="http://waiveris.com/project/fractals/barnwindows/" rel="nofollow">http://waiveris.com/project/fractals/barnwindows/</a>
blahedoalmost 15 years ago
I like that it's animated; nearly every static "visual proof" of the Pythagorean theorem is nearly incomprehensible to me without a lot of explanation---I'm a <i>huge</i> fan of visual proofs but for most of them you really need a time dimension to make sense of them.
okmjuhbalmost 15 years ago
Another cute way that's more obviously correct without translations is to consider a square with sides of length a+b. You get an interior square of area c^2 and 4 right triangles with legs of size a and b.
vogalmost 15 years ago
Nice animation, but I think in the last step when c² is mentioned (after "a² + b²"), the c-square should be restored such that it is again visible as square.
mkramlichalmost 15 years ago
now let's do this for the rest of the education field!
jggalmost 15 years ago
If you like this sort of thing, definitely check out this book: <a href="http://www.amazon.com/Proofs-without-Words-Exercises-Classroom/dp/0883857006/" rel="nofollow">http://www.amazon.com/Proofs-without-Words-Exercises-Classro...</a>