Publisher's Synopsis
Excerpt from The Theory, Practice, and Architecture of Bridges of Stone, Iron, Timber, and Wire, Vol. 1: With Examples on the Principle of Suspension
In the Philosophical Transactions for the year 1697, it appears that David Gregory first noticed this identity, but his mode of argument, though sufficiently rigorous, appears not to be so perspicuous as could be desired.
In one of the posthumous works of James Bernoulli two direct solutions of this problem are given, founded on the different modes of viewing the action of the voussoirs: the first is clear, simple, and precise, and easily leads to the equation of the curve, which he shows to be the catenary inverted; the second requires a little correction, which C ramer, the editor of his works has pointed out.
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