New Elementary Algebra: Embracing the First Principles of Science |
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algebraic ANALYSIS.-Let x denote antecedent arithmetical arithmetical means binomial called cents Charles Clearing of fractions coefficient common denominator common difference complete equation completing the square contains contrary signs cost cube Davies denote the number dividend division dollars equal number equation whose roots EXAMPLES exponent expression extracting the square Find the square Find the sum following RULE Geometry Give the rule given number greater greatest common divisor hence indicated John last term least common multiple lemons Let x denote logarithm minuend minus monomial Multiply negative number added number of apples number of terms operation ounces perfect square polynomial progression proportion quan quotient radical ratio Reduce remainder result second degree second member second term simultaneous equations square root Substituting this value subtract tities transposing trinomial twice unknown quantity VERIFICATION write x²y yards
Popular passages
Page 71 - 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 118 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?
Page 257 - To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36.
Page 146 - A person has two horses, and a saddle worth £50. Now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first. What is the value of each horse ? Ans.
Page 153 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Page 72 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Page 257 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Page 77 - 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. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'.