## New Elementary Algebra: Embracing the First Principles of the Science |

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algebraic quantities ANALYSIS.-Let x denote antecedent arithmetical arithmetical means binomial called cents Charles coefficient common difference complete equation completing the square contains contrary signs cost cube Davies denominator denote the number Divide dividend division dollars equal number equal to 12 equation whose roots EXAMPLES exponent extracting the square factors Find the square Find the sum following RULE Geometry Give the rule given number greater greatest common divisor hence John last term least common multiple lemons Let x denote logarithm Mathematics minuend minus monomial Multiply negative number added number of apples number of terms operation perfect square polynomial progression proportion quan quotient radical ratio Reduce remainder second degree second member second term simultaneous equations square root Substituting this value subtract tities transposing trinomial twice units unknown quantity VERIFICATION 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 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 295 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.

Page 275 - Of four proportional quantities, the product of the two extremes is equal to the product of the two means.

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 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 275 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.

Page 146 - Two travellers set out at the same time from London and York, whose distance apart is 150 miles; one of them goes 8 miles a day, and the other 7 ; in what time will they meet ? Ans, In 10 days. 10. At a certain election, 375 persons voted for two candidates, and the candidate chosen had a majority of 91; how many voted for each 1 Ans.

Page 175 - 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 173 - The Square Root of a number is one of its two equal factors. Thus, the square root of 25 is 5, since 5x5 are 25.