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added addition algebraic expression apply arithmetical binomial changed CHAPTER coefficient common considered corresponding cube decimal denominator difference distance divided dividend division divisor dollars equal equation example Exercise exponent expression factors feet field figure Find Find the number formula four fraction geometrical given gives graph greater groups Hence hour Illustrations increased indicated integral length less letter literal logarithm lowest means method miles monomial Multiply negative obtain operation original parenthesis polynomial positive present principle problem progression proportion quantity quotient radical ratio remainder Result second term Show simple Simplify smaller solution Solve square root Substituting subtracted symbols third trinomial twice Type units unknown quantity Whence Write
Página 57 - 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.
Página 373 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 335 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Página 373 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 156 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Página 321 - In any proportion, the product of the means equals the product of the extremes.
Página 87 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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.
Página 318 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.