Algebra for Secondary Schools
D.C. Heath & Company, Publishers, 1906 - Algebra - 462 pages
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This is a very good book. It is precise, has all the mathematical definitions, and an abundance of exercises. It is a very good book for the student to study at home.
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abē added arithmetic binomial called cents changed coefficient common factor Consider containing cube root denominator difference digits Divide division divisor equal equivalent example exceeds EXERCISE Expand exponent expression Extracting factor feet figures Find Find the number Find the value fraction given given equations gives graph greater Hence hold increased involving last term less letters logarithm lowest means method miles Multiplying negative obtained perfect square polynomial positive positive integer problem progression proportion prove Putting quadratic quotient rational Reduce remainder represent respectively result rule satisfy solution Solve the equation square root Substituting Subtracting surd term third travels twice units unknown numbers Whence
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.