The common time of musicians is divided into bars, each of which contains four crotchets, or a proportional number of their subdivision into quavers and semiquavers.
The former of these is divided by bars, each bar containing three crotchets, or a proportional number of their subdivisions into quavers and semiquavers.
Change of motion is always proportional to the moving force impressed, and is always made in the direction of the right line in which the force acts.
The diameter is proportional to the focal length, but the difference of effect upon the details is very important.
Until very recently it had come to be a commonly accepted view in America that the civilization of a nation is directly proportional to the amount it expends for education, and inversely proportional to the amount it expends for war.
In consequence of the free trade lately granted to Chili, it is increasing in population with a rapidity proportional to the salubrity of its climate and the fertility of its soil.
While such rewards were dealt out to the principal officers, with more than royal munificence, proportional shares were conferred on those of inferior rank.
The storm then passes away with a rapidity proportional to its violence, and the weather clears up.
Under proper banking methods, deposits cannot expand without a proportional increase of the gold reserves of the banks.
The value of such stones is said to vary as the square of the weight, so that we cannot institute any exact comparison with metals of which the value is simply proportional to the weight.
It is true in the sense that one of the normal effects of an increase in the quantity of money is an exactly proportional increase in the general level of prices.
Thus, approximately speaking, the value of any piece of gold or silver is simply proportional to the weight of fine metal which it contains.
The progress of the race is the result of effort, physical, religious, moral, and intellectual; and the advance of individuals is proportional to their exertion.
Those who have succeeded most in this world (Napoleon or Bismarck) confess it; calculation is not without its uses, but chance makes mock of calculation, and the result of a planned combination is in no wise proportional to its merit.
The elections take place, under an elaborate system of proportional voting, and the franchise is extended to every Finnish citizen, man or woman, who is twenty-four years old or more.
The proportional system of voting was also adopted without any opposition.
Since the intensity of the radiation is equal to the energy per unit volume multiplied by the velocity of light, it follows that the former must also be proportional to the fourth power of the absolute temperature.
They are proportional to vapor pressures, not to density, and, therefore, may be followed from one temperature to another with correctness.
The figures given are for a change of 1 inch; for other changes useproportional amounts.
The square of the time of revolution (or year) of each planet isproportional to the cube of its mean distance from the sun.
Their rate of description of area, not their speed, was uniform andproportional to time.
If force acts on a body, it produces a change of motion proportional to the force and in the same direction.
The cubes of the distances were proportional to the squares of the times for the whole system.
The second law asserts that when a force acts, the motion changes, either in speed or in direction, or both, at a pace proportional to the magnitude of the force, and in the same direction as that in which the force acts.
To examine this he measured the length of the oval patch when the screen was at different distances from the prism, and found that the two things were directlyproportional to each other.
Also, that the height fallen through was proportional to the square of the time.
The height fallen by a dropped body is not proportional to the time simply, but to what is rather absurdly called the square of the time, i.
Returning now to the case of a small body revolving round a big one, and assuming a force directly proportional to the mass of both bodies, and inversely proportional to the square of the distance between them: i.
The distance beingproportional to the square of the time, see p.
The fact that the height fallen through is proportional to the square of the time proves that the attraction of the earth or the intensity of gravity is sensibly constant throughout ordinary small ranges.
And this recognition would be proportional to two things--the amount of scientific knowledge possessed by the reader, and his mastery of the language in which the book was written.
In the case of most gases, the weight which dissolves in a given quantity of water is proportional to the pressure.
Then the silver salts on which the light has fallen are reduced to metallic silver, and this reduction is greatest where the light was most intense, and in other places is proportional to the light intensity.
This is usually expressed by saying that the cube of the distance is proportional to the square of the time of revolution.
The strength of the magnetism excited is supposed to be proportional to the quantity of neutral fluid decomposed.
The loudness of the sound was by no means proportional to the quantity of the material exploded, 8 oz.
By special modes of experiment the same was proved to hold good for the vapours of volatile liquids, the radiative power of every vapour being found proportional to its absorptive power.
The heat is proportional to the square of the velocity.
As before, the work is also proportional to the weight elevated.
Now here experiment and reasoning lead us to the remarkable law that, like the mechanical effect, the amount of heat generated is proportional to the product of the mass into the square of the velocity.
When the intellect has to intervene, and calculation is necessary to the building up of the conception, the expansion of the feelings ceases to be proportional to the magnitude of the phenomena.
The history of modern European music, therefore, begins with the first authentic instances of singing in two or more semi-independent parts, these parts being subjected to a definite proportional notation.
If this condition be satisfied, the mass (or weight) of the drop is proportional to T and to a.
For all fluids and for all similar tubes similarly wetted, the weight of a drop would then be proportional not only to the diameter of the tube, but also to the superficial tension, and it would be independent of the density.
The interval from one swelling to the next is the space described by the drop during one complete vibration, and is therefore (as Plateau shows) proportional ceteris paribus to the square root of the head.
The problem is to make the sum of the interfacial tensions a minimum, each tension being proportional to the square of the difference of densities of the two contiguous liquids in question.
When the head is given, Savart found the length to beproportional to the diameter of the orifice.
For a given fluid and a given orifice the length is approximately proportional to the square root of the head.
From this he showed that the rise of the liquid in tubes of the same substance is inversely proportional to their radii.
The issue each year was to beproportional to the sum necessary to pay the interest on the debt.
By decomposition in close vessels, it is resolved into phosphoric acid, and a peculiar gas, consisting of one proportional of phosphorus and four of hydrogen, and for which he proposed the term Hydro-phosphorous gas.
The deflections are thus madeproportional to the current or E.
He showed that the velocity of a signal through a given core was inversely proportional to the square of the length of the core.
The variation seemed in a manner proportional to the pressure.
