Essentials of Algebra for Secondary Schools: By Webster WellsD.C. Heath, 1899 - 402 sider |
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a²b a²b² a³b ab² ab³ absolute value ALGEBRA arithmetic arithmetic means cents change the sign coefficient common factor cube root decimal degree denominator digits dimes Divide dividend divisor equal EXAMPLES exponent Extracting the square Find the H. C. F. Find the logarithm Find the number Find the sum Find the value following rule geometric geometric progression greater Hence highest common factor less m²n mantissa miles an hour minuend monomial Multiplying negative number Note number of dollars number of miles partial fractions polynomial positive integer positive number proportion quadratic equation quotient radical sign ratio Reduce remainder result Solve the equation Solve the following square root Substituting Subtracting third Transposing unknown quantities Wells's Whence xy² zero
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Side 262 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Side 45 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Side 173 - Divide this remainder by three times the square of the part of the root already found, with two ciphers annexed, and write the quotient as the next figure of the root.
Side 27 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Side 118 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.
Side 263 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Side 123 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Side 117 - Divide 134 into two parts such that one divided by the other may give 3 as a quotient and 26 as a remainder." 29. The denominator of a fraction is 7 less than the numerator ; and if 5 be added to the numerator, the value of -the fraction is -f- . Find the fraction. 30. The second digit of a number exceeds the first by 4 ; and if the number, increased by 39, be divided by the sum of its digits, the quotient is 7. Find the number. 31. I paid a certain sum for a horse, and seven-tenths as much for a...
Side 35 - A term may be transposed from one member of an equation to the other by changing its sign.
Side 322 - If a number is not an exact power of 10, its common logarithm can only be expressed approximately ; the integral part of the logarithm is called the characteristic, and the decimal part the mantissa.