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Post by Admin on Oct 21, 2016 13:54:08 GMT
Gary
On page 308 the second sentence of the third paragraph: "For example...every other", gave me the impression on first reading that all the ''rectangles'' in figure 27 chapter 6 would look the same to Poincarites, but of course Needham says each black ''rectangle''.
To make it even clearer I think it would be better to say that to the Poincarites, all ''rectangles'' belonging to the same ''ring'' are the same shape and size. So they see a picture like figure 29b chapter 3 on page 163, but centred at $a$ not the origin.
Maybe this was clear to you from the start, but I thought I was missing something.
Vasco
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Gary
GaryVasco
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Post by Gary on Oct 21, 2016 16:21:08 GMT
Vasco,
I can't give a deliberated reply right now, but I remember reading it and thinking "How would one know that the Poincarites would see them all as the same?" I think you are on the right track.
Gary
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Post by Admin on Oct 22, 2016 7:44:35 GMT
Vasco, I can't give a deliberated reply right now, but I remember reading it and thinking "How would one know that the Poincarites would see them all as the same?" I think you are on the right track. Gary Gary The explanation lies in figure 34 on page 172, plus the accompanying text for the elliptic case, and also figure 27 on page 308 and accompanying explanation, in that order. Vasco
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Gary
GaryVasco
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Post by Gary on Oct 22, 2016 19:42:42 GMT
Vasco,
Without looking, my guess is that every nth line is an h-reflection of n-2 for both circles and orthogonal circles. That would make the h-distances from line n-1 equal in both (orthogonal) directions.
Gary
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