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hamilton to de noailles - Alexander Hamilton, The Works of Alexander Hamilton, (Federal Edition), vol. 7 
The Works of Alexander Hamilton, ed. Henry Cabot Lodge (Federal Edition) (New York: G.P. Putnam’s Sons, 1904). In 12 vols. Vol. 7.
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hamilton to de noailles
May 5, 1800.
I observe that the French regulations, as well as those of several other countries, adopt a fixed measure for the pace (pas), without regard to the velocity, which, in the French code, is two feet French. As the measures differ in different European establishments, I have been causing experiments to be made, in order to discover, if practicable, a standard in nature relatively to the medium size of a man. In the course of these experiments, it appears that though two feet is about the natural length of the cadenced step—say seventy-five in a minute—of a body of men, yet they naturally increase the length of the step with the velocity.
This has led me to some new reflections on the point; and as I respect European precedents, in a science which has been so much studied and practised, I am desirous of knowing what reasoning has led to the adopting of a determinate length for all the direct steps, without regard to the velocity—that is to say, the same for the quick and quickest.
Nobody can better enlighten me on this subject than yourself, and I rely on your friendly disposition. I therefore do not hesitate to request that you will, as soon as may be, let me hear from you on the point, and as particularly as may be convenient.