As for the Weber triangle problem, which is a generalization of the Fermat triangle problem, it was first formulated by Thomas Simpson in 1750, and popularized by Alfred Weber in 1909.
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His work in that field was distinguished by his acumen, his philosophical understanding, and extensive study of the major pioneering works of Durkheim, Toennies, Max and Alfred Weber, Simmel and others in the British Museum Library in London, while resident as a student in Oxford.