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math.HO2026
Discovering Heron's Triangle Area Formula in a Morning in the Rain
Eric L. Grinberg
Motivations and derivations for Heron's triangle area formula abound. But how would one \emph{discover} the formula? We recount the challenge of designing a laboratory experiment t…
math.HO2026
Helly's Theorem--A Very Early Introduction
Eric L. Grinberg
We propose an interpretation of, and approach to, Helly's theorem that can be included quite early in the undergraduate curriculum. At the same time, the approach connects with con…
math.HO2026
A Wild Steiner-Lehmus Chase
Eric L. Grinberg, Mehmet Z. Orhon
We present a proof the Steiner-Lehmus equal bisectors theorem by applying the Law of sines in rapid succession to a side-by-side comparison. For nearly two centuries, the quest for…