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### Contents

 FRACTIONS 120 FRACTIONAL EQUATIONS 144 SIMULTANEOUS EQUATIONS OF THE FIRST DEGREE 163 PROBLEMS INVOLVING TWO UNKNOWN NUMBERS 179 INEQUALITIES 197
 PROGRESSIONS 310 PROPERTIES OF SERIES 323 BINOMIAL THEOREM 330 LOGARITHMS 342 GENERAL REVIEW EXERCISE 356

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Page 293 - The equation ad = be gives a — -�, b = — ; so that an d с extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean.
Page 293 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, dividing by bd, ad_ be bd~bd' ac or j- — -
Page 342 - 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 307 - The distance a body falls from rest varies as the square of the time it is falling.
Page 61 - It becomes necessary in solving an equation to bring all the terms that contain the symbol for the unknown number to one side of the equation, and all the other terms to the other side. This is called transposing the terms. We will illustrate by examples : 1. Find the number for which x stands when...
Page 117 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 253 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term.
Page 120 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other. 1. Reduce - to its lowest terms.
Page 306 - Given that the area of a circle varies as the square of its radius...
Page 83 - NOTE. It is important to notice in the above examples that the terms of the quotient are all positive when the divisor is a — b, and alternately positive and negative when the divisor is a + b...