## A Treatise on Coal Mining |

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Adding amount angle annexed answer Applying formula atmosphere base begin cars ciphers coal column contained cubic cylinder decimal places denominator diameter difference distance divided dividend divisor engine equals example face feet figure follows foot force four fraction gallons given gives head Hence horsepower hour hundreds hundredths leaves length load means measured method miles minute months multiplicand multiplier nearly obtain operation percentage period piston pounds pressure problem reading reduce remaining reserve right angles rods root rope seam shaft shown side square feet square inches station steam stroke Substituting subtract surface Table tension tenths thousands thousandths tons trial triangle units values volume weight whence whole write yards

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Page 18 - When the denominators are not alike we know that the units are divided into -unequal parts, so before adding them we must find a common denominator for the denominators of all the fractions. Reduce the fractions to fractions having this common denominator, add the numerators and write the sum over the common denominator. In this case, the least common denominator, or the least number that will contain all the denominators, is 16; hence, we must reduce all these fractions to sixteenths and then add...

Page 16 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.

Page 4 - Multiply each term of the multiplicand by each term of the multiplier...

Page 19 - When mixed numbers and whole numbers are to be added, add the fractional parts of the mixed numbers separately, and if the resulting fraction is an improper fraction, reduce it to a whole or mixed number. Next, add all the whole numbers, including the one obtained from the addition of the fractional parts, and annex to their sum the fraction of the mixed number obtained from reducing the improper fraction.

Page 5 - However, it simply found the area outside the boundaries of 1,500 feet in length and 300 feet on each side of the middle of the vein, to be excess. In short, the court limited plaintiffs...

Page 21 - In this case where both dividend and divisor are compound, reduce each to the lowest denomination mentioned in either and then divide as in simple numbers. 1 bu. 1 pk. 7 qt.

Page 3 - The temperature at which combustion takes place is always the same for the same substance. The nitrogen reduces the temperature of the furnace, since a portion of the heat given off by combustion is required to heat the nitrogen. (1213) No. See definition of combustion, Art. 2OO3. (1214) See Art. 2OO7. (1215) See Art. 2OO8. (1216) The number of heat units required to convert a pound of water at 32° into steam at 400° may be found by means of formula 14O. H= 1,081.

Page 1 - ... into the tri-rectangular triangle. From one of the vertices A, let diagonals AC, AD, be drawn to all the other vertices ; the polygon ABCDE will be divided into as many triangles, minus two, as it has sides. But the surface of each triangle is measured by the sum of all its angles minus two right angles...