In the latest Datafile issue (V31 N2) Wlodek MierJedrzejowicz says his best slide rule (one he actually never used as it was soon replaced by the HP35), a top of the range model from the German company Aristo, had 30 scales on it. They included the sqrt(1  x^{2}) and sqrt(1 + x^{2}) functions, which to this day, he says, are not available on calculators. Well, they can be implemented using only two steps each (four, if we count LBL and RTN) on most RPN programmable calculators, like the HP11C, for instance. Is someone willing to present these or other solutions?
Sqrt(1  x^2) & Sqrt(1 + x^2) functions


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