PiDay 2022 crossword puzzle

So soon? Yes, it is that time of year again — PiDay, namely Mar 14 (from 3/14 in North American date notation) is less than two weeks away. Continuing a long tradition on the Math Scholar blog, we present a custom-constructed crossword puzzle to commemorate the occasion.

This year’s puzzle commemorates a well-known pi-related theorem, one of the most beautiful facts in mathematics, which was originally discovered in the 18th century. The theorem is stated, in full, in the completed puzzle (see clues 20A, 30A and 44A).

My spouse and one daughter, who solved the puzzle, agreed that in terms

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