Elements of AlgebraGinn & Company, 1896 - 324 páginas |
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Términos y frases comunes
a+b)² a+b+c a²+2ab+b² a²+b² ab+b² ab² ab³ algebraic numbers arithmetical mean arithmetical series binomial cents CHAPTER coefficient Complete the square contain cube root decimal denominator denote difference digits divided division divisor EXERCISE exponent Extract the root feet Find the H. C. F. Find the number Find the value fraction gallons geometrical geometrical series greater number harmonical series Hence highest common factor increased integral number logarithm lowest common mantissa means middle term monomials multiplicand Multiply negative number number of dollars number of terms obtained parentheses polynomial pounds quadratic equations quantities quotient ratio remainder Resolve into factors result second term Simplify solution square root Subtract surd trinomial twice unknown numbers x²y² yards
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Página 198 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term.
Página 49 - 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.
Página 265 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 284 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, dividing by bd, ad_ be bd~bd' ac or j- — -
Página 28 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.
Página 4 - Find two numbers such that when the greater is divided by the less the quotient is 4 and the remainder 3, and when the sum of the two numbers is increased by 38 and the •result divided by the greater of the two numbers the quotient is 2 and the remainder 2.
Página 307 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? 24.
Página 217 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Página 278 - The first term of a ratio is called the antecedent, and the second term the consequent.
Página 143 - 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.