# First Course in Algebra: With Eight Thousand Examples Including Three Thousand Mental Exercises

Little, Brown, 1908 - Algebra - 664 pages
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Page 124 - ... 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 divisor by this first term of the quotient, and subtract the resulting product from the dividend. Divide the first term of the remainder by the first term of the divisor, and write the result as the second term of the quotient. Multiply the divisor by this second term of the quotient, and subtract the product from the remainder previously obtained. Proceed with the...
Page 373 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Page 598 - 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.
Page 152 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Page 597 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Page 453 - The anti-cyclonic storms, which are areas of high barometric pressure, are characterized in their advance by colder, clearing weather. The circulation of the wind in a cyclone is spirally inward and in the direction opposite to the movement of the hands of a watch. The circulation of the air in an anti-cyclone, is outward, circulatory and in the same direction as the movement of the hands of a watch.
Page 358 - An observer standing 526 yards from the target and 300 yards from the marksman hears the bullet strike 3 seconds after he hears the report of the rifle.
Page 118 - When a quotient is expressed as described in Art. 16, by placing the divisor under the dividend with a line between them, it is called a, fraction; the dividend is called the numerator and the divisor the denominator of the fraction. Algebraic fractions do not differ essentially from arithmetical fractions, and the same principles are applicable to both.
Page 171 - Unite similar terms, and divide both members of the equation by the coefficient of the unknown number.
Page 251 - If the degree of the numerator is equal to, or greater than, that of the denominator, the preceding methods are inapplicable.