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Updated: April 30, 2025
The quotient is a number which is proportional to the mass of the planet. The rule applies to the motion of the moon round the earth and of the planets round the sun. If we divide the cube of the earth's distance from the sun, say 93,000,000 miles, by the square of 365 1/4, the days in a year, we shall get a certain quotient. Let us call this number the sun-quotient.
For to be efficacious a principle must apply necessarily and proportionately; it must assure us that where the factors are the same as on a previous occasion the quotient will be the same also.
All good arithmeticians, as they scrutinised the outward and the visible of Isabel Revel, were perfectly assured as to her quotient. But if I talked for hours, I could say no more than that she was one of those ideal images created in the dream of youth and poetry, fairly embodied in flesh and blood.
Simplify the equation! Stand by your fi. fa.! Don't be chicken-hearted, constable she's had the equivalent; now she sees the quotient, too." Van Dorn looked on and saw a spinning-wheel come out of the door, and a little wool in a bag after it. Jacob Cannon put his foot on the wheel and poked his head in the door.
A. One rule frequently adopted is as follows: Multiply the mean diameter of the rim by the number of its revolutions per minute, and square the product for a divisor; divide the number of actual horse power of the engine by the number of strokes the piston makes per minute, multiply the quotient by the constant number 2,760,000, and divide the product by the divisor found as above; the quotient is the requisite quantity of cast iron in cubic feet to form the fly-wheel rim.
The total number of valid votes cast at the election to be divided by the number of seats; the quotient to be known as the "unit of representation." Each party to be allowed one seat for every whole unit of representation contained in the aggregate votes polled by all its candidates, and the last seat to go to the party which has the larger remainder.
To find the Actual Horse-power of an engine, multiply the area of the cylinder in square inches by the average effective pressure in pounds per square inch, less 3 lb. per square inch as the frictional allowance, and also by the speed of the piston in feet per minute, dividing the product by 33,000, and the quotient will be the actual horse-power.
That the portion which each one appropriates may wrong no one, it must be equal to the quotient of the total amount of property to be shared, divided by the number of those who are to share it; The number of places being of necessity equal at all times to that of the spectators, no spectator can occupy two places, nor can any actor play several parts;
It should be observed, that volume, as we have used the word, is the apparent space occupied, and differs from mass, which is the effective space occupied, or the real bulk of matter, while density is the relation of mass to volume, or the quotient resulting from the division of the one by the other. Those empty spaces which render the volume larger than the mass are technically called its pores.
A. Yes; that may be done by the following empirical rule, which has been derived from observations made upon bearings of different sizes and moving with different velocities. Divide the number 70,000 by the velocity of the surface of the bearing in feet per minute. The quotient will be the number of pounds per square inch of section in the line of the axis that may be put upon the bearing.
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