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Updated: May 6, 2025
"But how much do you know of prismoidal formulae, or logarithmic secants? not to speak of segmental ordinates, or the cycloidal calculus; or even of adiabatic expansion, or torsional resistance, or the hydrostatic paradox, or the coefficient of friction? Now, these things are the very A B C of mechanics, as you'll find to your utter confusion."
If now we state, in conformity with the laws of Pfeffer, that the product of the osmotic pressure by the volume of the solution is equal to the absolute temperature multiplied by a coefficient, and then look for the numerical figure of this latter in a solution of sugar, for instance, we find that this value is the same as that of the analogous coefficient of the characteristic equation of a perfect gas.
But this constancy cannot be obtained. The coefficient of friction varies with the condition of lubrication of the surface of the pulley, which alters during the running and with every change in the velocity and temperature of the rubbing surfaces.
Thus reducing the friction, notwithstanding the increase of the coefficient. This is very ingenious, and the only objection to it, if it is an objection, is that only a purely empirical adjustment of the friction can be obtained, and that the range of the adjustment cannot be very great.
The tendency to closure of the eyes noted by Roubaud, to avoid contact of the light, indicates dilatation of the pupils, for which we need not seek other explanation than the general tendency of all peripheral stimulation, according to Schiff's law, to produce such dilatation. Vaschide and Vurpas, "Du Coefficient Sexuel de l'Impulsion Musicale," Archives de Neurologie, May, 1904.
Again it is necessary to call to mind that any momentous innovation which rests on popular sentiment will take time; that consequently anything like a plébiscite on the question today would scarcely give a safe index of what the decision is likely to be when presently put to the test; and that as things go just now, swiftly and urgent, any time-allowance counts at something more than its ordinary workday coefficient.
It is assumed on all sides that the ether is a continuous, incompressible body, possessing rigidity and elasticity. Lord Kelvin has even calculated the probable density of this ether, and its coefficient of rigidity. As might be supposed, it is all but infinitely tenuous as compared with any tangible solid, and its rigidity is but infinitesimal as compared with that of steel.
The coefficient of friction between the cast-iron and steel is considerably less than that which would exist between two steel parts, and there is less tendency for the skirt to score the cylinder walls than would be the case if all steel were used so noticeable is this that many makers, after giving steel pistons a trial, discarded them in favour of cast-iron; the Gnome is an example of this, being originally fitted with a steel piston carrying a brass ring, discarded in favour of a cast-iron piston with a percentage of steel in the metal mixture.
The determination of this coefficient has been made from experiments where the pressure has not exceeded four atmospheres; within these limits the value of the coefficient, as is generally admitted, is independent of the pressure.
"Of course, life, that is to say real, intellectual, or, as some would say, spiritual life, is, after all, the coefficient of that totally unexplainable thing called thought which enables us to explain most things except itself. Time and space and location are only realities to us in so far that we can see them.
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