Suppose I have a line segment, divided into two parts
with $B$ fixed. Is there a way to divide the whole segments into equally spaced subintervals $\Delta x$, such that $AB$ and $BC$ are both multiple of $\Delta x$?
2026-04-01 19:26:01.1775071561
On line segment subdivision
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No you can only do it if both parts have rational length or are multiples of the same irrational number. So the greeks allready proved that you can not divide the diagonal of a square and the side of the square in the same finite $\Delta x$