# Essentials of Algebra for Secondary Schools

D. C. Heath, 1897 - Algebra - 411 pages

### Contents

 HIGHEST COMMON FACTOR 81 LOWEST COMMON Multiple 91 SIMPLE EQUATIONS Continued 120 SIMULTANEOUS EQUATIONS 138 Containing more than Two Unknown Quantities 150 INEQUALITIES 165
 VARIATION 287 THE BINOMIAL THEOREM 310 UNDETERMINED COEFFICIENTS 317 THE BINOMIAL THEOREM 332 LOGARITHMS 339 Copyright

### Popular passages

Page 278 - 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.
Page 39 - 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.
Page 130 - 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.
Page 276 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 57 - 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.
Page 135 - 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.
Page 279 - 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:b = c:d = e:f.
Page 277 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = bc.
Page 129 - 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 carriage. If the horse had cost...
Page 135 - A banker has two kinds of money ; it takes a pieces of the first to make a crown, and b of the second to make the same sum. Some one offers him a crown for c pieces. How many of each kind must the banker give him ? Ans.