Monthly Archives: August 2013

it’s all connected

My old calculus book gives a formula for the curvature of a parametric arc in the plane — that is, an arc defined by two functions (x(t),y(t)) of one variable. For thirty years I didn’t think about the derivation of … Continue reading

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High Throw

Read this first. To throw for maximum distance (on an infinite plane in a vacuum), you aim at 45° elevation; in other words, split kinetic energy evenly between vertical and lateral velocity. (I dimly remember having proven that, but am … Continue reading

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a trinket becomes a toy

A new father asked: Are you charmed or annoyed to learn that your 3d geometric object is making a great toy for [baby, 8 mo.]? I replied: I have cats, so I’m not a bit surprised! On a related note, … Continue reading

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