Question 20
A $d$ segment divides the $s$ segment if there is a natural $n$ such that $$
n d = d + d + \stackrel{n}{n}^{*} + d = s
$$
a) shows that if the segment $d$ divides the segments $s$ and $s'$ with $s \lt s'$, then divide the segment difference $s' - s$.
b) Demonstrate that no segment divides on the side $s$ and the diagonal $s'$ of a regular pentagon (reasoning on the regular pentagon whose sides are contained in the diagonals of the given pentagon, without making numerical calculations).
n d = d + d + \stackrel{n}{n}^{*} + d = s
$$
a) shows that if the segment $d$ divides the segments $s$ and $s'$ with $s \lt s'$, then divide the segment difference $s' - s$.
b) Demonstrate that no segment divides on the side $s$ and the diagonal $s'$ of a regular pentagon (reasoning on the regular pentagon whose sides are contained in the diagonals of the given pentagon, without making numerical calculations).