Elements of Algebra |
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added adjacent mantissas Algebra and Geometry Arithmetic Bearing bushels characteristic circular measure circumference cologarithm column headed contains cos log cot cost cot log cos cot log tan decimal point difference equation exceeds exponent Find log Find the angle Find the number Find the value gallons given mantissa given number gives greyhound hare High School increased leaps length less log cos 9 log cot log log N log log tan 9 log tan log logarithm Math miles an hour minute-spaces in arc minutes number be divided number corresponding number is equal number of dollars number of minute-spaces piece Prof pupils quotient radius remainder represent the number required number required to find rithm root sheep significant figure sin log tan smaller number square Subtract subtrahend Supt tan log cot tan log sin teacher twice unknown quantity Wentworth's yards
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Page 144 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Page 230 - III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 170 - ... the cost of the ingredients. Ex. A wine-merchant has two kinds of wine, which cost 72 cents and 40 cents a quart respectively. How much of each must he take to make a mixture of 50 quarts worth 60 cents a quart? Let x = required number of quarts worth 72 cents a quart, and y = required number of quarts worth 40 cents a quart. Then...
Page 168 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 215 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page iii - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 165 - A person engaged to work a days on these conditions : for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit c cents. At the end of a days he received d cents ; how many days was he idle ? . ab — d Ans.
Page 156 - How long would it take the third man to do it alone ? 30. A can do half as much work as B, B can do half as much as C, and together they can complete a piece of work in 24 days. In what time can each alone complete the work ? 31.
Page 174 - A sum of money, at simple interest, amounted in m years to a dollars, and in n years to b. dollars. Find the sum and the rate of interest. 45. A sum of money, at simple interest, amounted in a months to c dollars, and in b months to d dollars.
Page 229 - The logarithm of a product is the sum of the logarithms of the factors. 10™ 2. —— =10™~r. The logarithm of a quotient is the logarithm of the dividend minus the logarithm of the divisor. 3. (10"')r = 10"'.