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acres added algebraic arithmetical binomial bought bushels called cent changed coefficient common complete contain cost cube root Definitions denominator difference Divide dividend division divisor dollars effect equals equation Examples EXERCISE exponent expressed Extract factor feet Find the value four fourth fraction gain give Given greater hence horse Illustration increased length less limit lowest means miles minus Multiply negative negative quantity obtained polynomial positive pounds Prin Principles Problem progression proportion quadratic quan quantity quotient radical raises ratio received Reduce remain Required result rods Show SIGHT EXERCISE similar simple sold Solution Solve square root Substitute Subtract symbol taken third tity Transpose twice units unknown quantities worth
Página 40 - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, or of equal things, are equal to each other.
Página 74 - 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.
Página 276 - ... that is, Any term of a geometric series is equal to the product of the first term, by the ratio raised to a power, whose exponent is one less than the number of terms.
Página 172 - At the left of the dividend write three times the square of the root already found, for a trial divisor ; divide the first term of the dividend by this divisor, and write the quotient for the next term of the root.
Página 258 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 167 - Tlie result will be the complete divisor. Multiply the complete divisor by the last term of the root found, and subtract this product from the dividend.
Página 151 - A and B can do a piece of work in 4 days, A and C in 6 days...
Página 269 - ... the sum of the terms. The first term and last term are called the extremes, and all the terms between the extremes are called arithmetical means.