Second Course in Algebra
Ginn & Company, 1911 - Algebra - 39 pages
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algebraic altitude Antilog arithmetical base becomes binomial called coefficients common complete constant contain corresponding cube root curve decimal denominator determinants difference distance divided division divisor equal equation equivalent example EXERCISES exponent expression extracting factor feet figure Find formula four fraction function geometrical given gives graph graphical greater Hence illustrated imaginary inches indicated integral letter limit linear logarithm mantissa mathematics means method miles multiplied negative Note obtained original positive preceding problems progression proved quadratic radical rational remainder respectively result root RULE satisfy sets of roots Show side Solution Solve square square root student Substituting subtraction term theorem third tion triangle unknown variable varies volume Write zero
Page 217 - Given that the area of a circle varies as the square of its radius...
Page 190 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Page 6 - Then divide the first term of the remainder by the first term of the divisor...
Page 217 - The time required by a pendulum to make one vibration varies directly as the square root of its length. If a pendulum 100 centimeters long vibrates once in one second, find the time of one vibration of a pendulum 64 centimeters long.
Page 216 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.
Page 217 - 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.
Page 16 - In multiplication we have two factors given and are required to find their product. In division we have the product and one factor given and are required to find the other factor. In factoring, however, the problem is a little more difficult, for we have only the product given, and our experience is supposed to enable us to determine the factors.
Page 48 - At what time between 2 and 3 o'clock are the hands of a clock in a straight line ? 4.
Page 256 - Arrange the terms of the polynomial with reference to the consecutive powers of some letter. Extract the square root of the first term, write the result as the first term of the root, and subtract its square from, the given polynomial.
Page 190 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.