New Elementary Algebra: Primary Elements of Algebra, for Common Schools and Academics |
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New Elementary Algebra: Primary Elements of Algebra, for Common Schools and ... Joseph Ray No preview available - 2015 |
Common terms and phrases
1st Bk added affected quadratic equation algebraic quantities arithmetical progression arithmetical series binomial cents coefficient common denominator common difference Completing the square cube decimal Define denotes dividend division entire quantity equal EQUATIONS CONTAINING exponent expressed Extracting the square Find a number find the G.C.D. Find the product Find the square Find the sum find the value following examples fourth geometrical progression geometrical series gives greater greatest common divisor Hence illustrate infinite series last term least common multiple letter minus mixed quantity monomial multiplicand multiply both terms negative quantity number of places number of terms perfect square polynomial prime factors problem proportion Proposition question quotient ratio Reduce remainder represented required the numbers required to find Rule second degree SIMPLE EQUATIONS solving square root taken Theorem tion tity Transposing trinomial units unknown quantity whole number x²-y²
Popular passages
Page 109 - In any proportion, the product of the means is equal to the product of the extremes.
Page 168 - Subtract the square of the root from the lift period, and to the remainder bring down the next period for a dividend. 3. Double the root already found, and -place it on the left for a divisor. Find how many times the divisor is contained...
Page 12 - X. is read into, or multiplied by. It denotes that the quantities between which it is placed, are to be multiplied together.
Page 85 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 135 - A number is expressed by three figures ; the sum of these figures is 11 ; the figure in the place of units is double that in the place of hundreds ; and when 297 is added to this number, the sum obtained is expressed by the figures of this number reversed. What is the number ? Ans. 326.
Page 45 - 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 113 - What two numbers are as 2 to 3 ; to each of which, if 4 be added, the sums will be as 5 to 7 ? Prob.
Page 168 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down.
Page 94 - To solve an equation, is to find the value of the unknown quantity ; or, to find a number, which being substituted for the unknown quantity, will render the two members identical.
Page 107 - 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.