University Algebra : Embracing a Logical Development of the Science with Numerous Graded Examples |
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algebraic Binomial Formula Clearing of fractions coefficient common index containing contrary signs courier cube root decimal places denominator denote the number distance dividend divisible dollars epoch equal roots equation whose roots EXAMPLES expressions extracting the square figures Find the cube Find the fourth Find the greatest find the number Find the square following RULE fourth root given equation greatest common divisor Hence indicated irreducible fraction last term least common multiple less logarithm monomial Multiplying both members negative nth power nth root number of decimal number of terms operation polynomial positive preceding principle problem quotient radical sign real roots Reduce required root second degree second member second term simplest form simultaneous equations square root STURM'S THEOREM Substituting subtract supposition tens third Transposing travels units unknown quantity Whence whole number write
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Page 36 - Divide the first term of the remainder by the first term of the divisor, for the second term of the quotient. Multiply the divisor by this term, and subtract the product from the first remainder, and so on : IV.
Page 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 36 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 39 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.
Page 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.
Page 257 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page 81 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Page 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 91 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare ? Let x be the number of leaps taken by the hound.
Page 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.