Academic Algebra |
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Common terms and phrases
added algebraic amount arithmetical becomes binomial called cents changed coefficient combinations complete constant contain cost cube root denominator difference digits divided dividend division divisor dollars equal equation equivalent EXAMPLES Expand EXPLANATION exponent expression Extract factors figures Find Find the value fraction geometrical given gives greater Hence highest common divisor increased indicated less letters limit logarithm lowest means miles multiplied negative obtained permutations polynomial positive positive integer pounds PRINCIPLE problem PROCESS progression proportion proved quadratic quotient radical ratio received Reduce remainder represent result Simplify SOLUTION Solve square root Substituting subtracted SUGGESTION taken term things third twice units unknown number variable written
Popular passages
Page 132 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 208 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Page 226 - Add to the trial divisor the figure last found, multiply this complete divisor by the figure of the root found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 401 - The exponent of the power to which a fixed number, called the base, must be raised in order to produce a given number is called the logarithm of the given number.
Page 223 - Then divide the first term of the remainder by the first term of the divisor...
Page 39 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Page 411 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 222 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
Page 74 - 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 410 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Bibliographic information
| Title | Academic Algebra |
| Author | William James Milne |
| Publisher | American Book Company, 1901 |
| Original from | Harvard University |
| Digitized | 23 Feb 2007 |
| Length | 444 pages |
| Export Citation | BiBTeX EndNote RefMan |