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Where's the ACS, AHA, and ALA when We Need Them?

In the mid-1950s, R. Wesley edited the resource textbook Mathematics For All. It was a British text designed to provide "a popular approach to mathematics in everyday life."

It included this problem: Construct two lines at right-angles, a circle, two semicircles on the same line, a triangle with two sides produced, three-quarters of a circle repeated once, and a circle. Place these seven figures in a row. The answer will soothe your nerves.

Seems a harmless problem, right?

Can you solve it?

What does the clue "soothe your nerves mean"?

As I could not make sense of the problem, its format, and clue..I stole a look at the solution:


Hopefully times have changed, and destructive situations like this no longer occur!