A Second Book in Algebra |
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6th term algebraic antilog arithmetical mean axis binomial formula bushels butter fat cents coefficient Compare the amount compound interest Compute Construct the graph containing cost cubic curve decimal denoted determine diagram difference Divide Eliminate equal EXERCISE expression Extract the square feet figures Find a formula Find the numbers Find the value following tabulation gives fraction gallons geometrical means given equation height Hence imaginary inches Let each space Let the pupil logarithm mantissa method miles an hour miles per hour Multiply number of hours obtain a formula original equation population pounds pupil check quadratic equation quotient radical sign rectangle represent result side Simplify simultaneous equations Solve and check square root substituting Subtract temperature timothy hay triangle unknown quantity x²+2
Popular passages
Page 215 - 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.
Page 222 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 222 - Root of a Number, Divide the logarithm of the number by the index of the required root.
Page 31 - The difference of two like even powers of two quantities is divisible by the sum of the quantities...
Page 296 - The exponent of a in the first term is less by 1 than its exponent in the dividend, and decreases by 1 in each succeeding term. III. The exponent of b in the second term is 1, and increases by 1 in each succeeding term. IV.
Page 214 - Hence, the characteristic of an integral or mixed number is one less than the number of figures to the left of the decimal point. 176. Characteristic of a Decimal Fraction. 1 = 10°.
Page 236 - The square of any polynomial equals the sum of the squares of the terms plus twice the product of each term by each term which follows it. It is often useful to indicate the order in which the products of the terms are taken as shown in the following diagram.
Page 179 - Inferred from the Coefficients. It is important to be able to infer at once from the nature of the coefficients of an equation whether the roots of the equation are equal or unequal, real or imaginary, positive or negative. Any quadratic equation may be reduced to the form ax2 + bх + e = 0, in which a is positive.