New Elementary Algebra: Designed for Common and High Schools and Academies |
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New Elementary Algebra: Designed for Common and High Schools and Academies ... Shelton Palmer Sanford No preview available - 2018 |
New Elementary Algebra: Designed for Common and High Schools and Academies Shelton Palmer Sanford No preview available - 2015 |
Common terms and phrases
added Algebra Analysis antecedent apiece arithmetical progression binomial bought cents Clearing of fractions coefficient common difference common index common multiple complete divisor complete the square cube root diminished Divide dividend dollars equal EXAMPLES exponent expressed extract the square factors fifth power Find the L. C. M. Find the square Find the sum find x fourth power fourth root fourth terms geometric series geometrical progression greater Hence last term least common multipl lowest terms merator miles monomial Multiplicand Multiply number of terms numbers in arithmetical obtain OPERATION oranges positive quantity prefix quadratic equation quan quotient radical sign ratio Reduce remainder Resolve second power second term sheep simplest form square root student Substituting this value third power third term three numbers tion tities transpose and unite trial divisor twice uniting terms unknown quantity yards
Popular passages
Page 59 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 291 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the • proportion a : b = с : d, a and d are the extremes, and b and с the means.
Page 61 - The number by which we divide is called the divisor. The number which shows how many times the divisor is contained in the dividend is called the quotient. 56. The sign of division is -=-. It is read divided by.
Page 68 - 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 222 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 119 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 30 - If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal.
Page 332 - PRONOUNCING DICTIONARY OF BIOGRAPHY AND MYTHOLOGY. Containing Memoirs of the Eminent persons of all Ages and Countries, and Accounts of the Various Subjects of the Norse, Hindoo and Classic Mythologies, with the Pronunciation of their Names in the different Languages in which they occur. By J. THOMAS, AM, MD Imperial 8vo.
Page 30 - The following axioms underlie the principles of all algebraic operations : 1. If the same quantity or equal quantities be added to equal quantities, the sums will be equal. 2. If the same quantity or equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same, or equal quantities, the products will be equal.
Page 190 - RULE. Find an expression for the value of one of the unknown quantities in one of the equations, and substitute this value for the same unknown quantity in the other equation.