Unimodality of Probability Measures 87 Geometry has fascinated philosophers since

Geometry has fascinated philosophers since the days of Thales and Pythagoras

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as the principal part of this paper

Unimodality of Probability Measures 87 Geometry has fascinated philosophers sinceLabor omnia vincit improbus. VIRGIL, Georgica I, 144 145. In the first part of his Theoria combinationis observationum erroribus min imis obnoxiae, published in 1821, Carl Friedrich Gauss [Gau80, p. 10] deduces a Chebyshev type inequality for a probability density function, when it only has the property that its value always decreases, or at least does l not increase, if the absolute value of x increases . One may therefore conjecture that Gauss is