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RE: A picture "proof" that 3=1
Yeah you are on the right track. The blue line has two directions. Take the sum of the length in each direction separately.
Yeah you are on the right track. The blue line has two directions. Take the sum of the length in each direction separately.
Well, the sum of the length in the horizontal direction needs to be 1, otherwise the whole thing wouldn't make sense. Leaving us with a vertical length of 2. I am not sure how this helps me though.
If you look back at the picture with the green and blue line. Imagine n goes to infinity are there still vertical lines left?
Of course there are, they are just infinitesimally small. Their sum doesn't change, it's still two.
My previous question was poorly phrased.
The blue line converges to the green line. But the green line has no length in the vertical direction. So where did all the vertical lines go?