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Mengoli`s Series is presented visually .
A wide-ranging discussion of the question in the title of the paper is presented.
The probability of losing in exactly \(n\) steps of the gambler`s ruin game is investigated.
The authors exhibit two differentiable functions for which the integration by parts formula does not apply.
The author analyzes the motion of a hollow ball with a viscous fluid center as it slowly rolls down a slightly inclined plane.

Three new proofs of the fact that the point \(A\) on the circular arc \(BC\) for which \(AB + AC\) is maximum is the midpoint of the arc are presented.
