Algebra for Secondary Schools |
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Common terms and phrases
9 x² a²b a²b² a³b ab² ab³ added arithmetic means arithmetic progression binomial change the sign coefficient common factor Completing the square cube root degree digits Divide divisor equal EXERCISE exponent Extracting square roots Find the cube Find the number Find the square Find the value following equations following rule formulæ geometric progression given equations graph Hence integer last term logarithm miles an hour monomial Multiplying both members Multiplying both terms negative number of dollars number of terms perfect square polynomial positive integer positive number quadratic equation quotient radical sign Reduce remainder result second term solution Solve the equation Solve the following square root Substituting Subtracting surd Transposing trial-divisor trinomial unknown numbers Whence x²y x²y²
Popular passages
Page 315 - 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 325 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.
Page 47 - 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 136 - 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 317 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, 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...
Page 18 - If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.
Page 380 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 208 - Multiply the complete divisor by the term of the root last obtained, and subtract the product from the remainder. If...
Page 445 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Page 315 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.