Second Course in Algebra

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Page 275 - This textbook may be borrowed for two weeks, with the privilege of renewing it once. A fine of five cents a day is incurred by failure to return a book on the date when it is due. The Education Library is open from 9 to 5 daily except Saturday when it closes at 12.30.
Page 231 - In any proportion, the product of the extremes equals the product of the means.
Page 236 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 257 - Then by definition a1 = m, and a' = n. Multiplying these equations together we hare aI+» = mn. Whence x + y is the logarithm of mn. QED 122. Prop. 2. The logarithm of the quotient of two numbers is the logarithm of the dividend minus the logarithm of the divisor. DEM. — Let a be the base of the system, and m and n any two numbers whose logarithms are, respectively, x, and y. Then by definition wenave<tI=m, and a' = n. Dividing, we have a* — * = — . Whence x — y is the logarithm of — ....
Page 250 - 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 244 - It has been found by experiment that the weight of a body varies inversely as the square of its distance from the center of the earth. If a...
Page 9 - The product of two binomials having a common term equals the square of the common term, plus the algebraic sum of the unlike terms multiplied by the common term, plus the algebraic product of the unlike terms.
Page 103 - See how many times this trial divisor is contained in all of the dividend, excepting the right hand figure, and write the quotient as the next figure of the root, and also place it at the right of the trial divisor, to form a true divisor.
Page 243 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.
Page 8 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...

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