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Updated: May 6, 2025
We had also measured the refraction of different gases, which, up to that time, had not been attempted. A determination, more exact than had been previously obtained, of the relation of the weight of air to the weight of mercury, had furnished a direct value of the coefficient of the barometrical formula which served for the calculation of the heights.
"Now then what is this Integral Calculus of yours?" "It is a branch of Mathematics that has for its object the summation of a certain infinite series of indefinitely small terms: but for the solution of which, we must generally know the function of which a given function is the differential coefficient.
Slowly he heaves and pushes, now at this, now at the life-line hitching on knob, handle, lever or projecting peg on anything or nothing in that maze of machinery; by involution and evolution, like the unknown quantity in a cubic equation, through all the twists, turns, assumptions and substitutions, and always with that unmanageable, indivisible coefficient the box, until he reaches the upper air.
"Clear it ov its coefficient, and we'll thry," says the Pope. "Hand me over the exponent then," says his Riv'rence. "What's that?" says the Pope. "The shcrew, to be sure," says his Riv'rence. "What for?" says the Pope. "To dhraw the cork," says his Riv'rence. "Sure, the cork's dhrew," says the Pope.
As to the practical construction of the brake, the author thinks that simple wires for the flexible bands, lying in V grooves in the pulleys, of no great acuteness, would give the greatest resistance with the least variation of the coefficient of friction; the heat developed being in that case neutralized by a jet of water on the pulley.
In the Physiological departments of our universities experiments are regularly conducted to determine what is known as the "personal coefficient" of the man tested.
His relatively low speed was not his fault, because he went through all the motions of frenzied flight. His legs twinkled as he ran. But his feet slid backward. He moved with a sort of dignified celerity, running fast enough for ten times the speed, upon a surface which had a frictional coefficient far below that of the smoothest possible ice.
This coefficient has for its multiplier the square of the number of centuries which have elapsed from a given epoch; its value was found by Laplace to be 10".18. Mr. Adams has ascertained that it must be diminished by 1".66. This result has recently been verified by the researches of M. Plana. Its effect will be to alter in some degree the calculations of ancient eclipses. Adams. Translator.
Berzelius proposed to improve upon this method by substituting for the geometrical symbol the initial of the Latin name of the element represented O for oxygen, H for hydrogen, and so on a numerical coefficient to follow the letter as an indication of the number of atoms present in any given compound.
This figure thus represents the pressure of air on each square foot of surface, which, multiplied by the sail area, 100 square feet, makes 200 pounds." "If that is the push when it is normal, what will it be at 45 degrees?" "Each angle of incidence has its own figure, or coefficient, or for your better understanding, value, and the value at 45 degrees is .666.
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