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A's age according added affected algebra alike amount barrels becomes bought boys bushel called cents changing coefficient consequently consisting contains corn corresponding cost cows denominator difference distance Divide dividend division divisor dollars doubled eliminated equal equation example exponents expressions Extract factors farmer figures formula fraction gain given gives greater Hence horse hundreds increased indicated known learner least length less letter manner means miles Multiply obtained older Operation performed period piece polynomial pounds preceding progression proportion question quotient radical sign raised ratio reduce remainder Remark represent the number represent the price Required Required the number respectively result rule second power second root separate sheep shillings similar Substitute subtract Suppose tens third power third root transpose twice units unknown quantity worth write yard zeros
Σελίδα 194 - 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.
Σελίδα 69 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Σελίδα 219 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Σελίδα 193 - Multiply the divisor, with the term last annexed, by the last term of the root, and subtract the product from the last dividend.
Σελίδα 143 - There will be as many figures in the root as there are periods in the given number.
Σελίδα 215 - That is, in any proportion either extreme is equal to the product of the means divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean.
Σελίδα 2 - Algebraic operations are based upon definitions and the following axioms : — 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 quantity, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal....
Σελίδα 3 - If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, its value will not be changed.
Σελίδα 189 - THE ROOT OF ANY MONOMIAL. Extract the root of the numerical coefficient, and divide the exponent of each literal factor by the number which marks the degree of the root. The roason for this rule is manifest, since extracting a root is the reverse of finding a power.