### ‘ι κίμε οι ςώόστερ -”ΐμτανγ ξώιτιξόρ

Ρεμ εμτοπΏσαλε ξώιτιξίρ στιρ σθμόηειρ τοποηεσΏερ.

### –εώιεςϋλεμα

 Fundamental Processes of Algebra 1 Multiplication 25 29 9 SECTION II 37 CHAPTER III 49 SECTION II 58 Proportions 61 75 42 61 Subtraction 23 24 104 CHAPTER IV 110
 Equations of the First Degree containing two or more Unknown 153 CHAPTER VI 181 SECTION II 190 Progressions 197 CHAPTER VIII 212 SECTION II 224 Commensurable Roots 211 214 227 SECTION IV 233

 SECTION III 121 SECTION 138 SECTION V 152
 CHAPTER IX 241 SECTION 1 257

### Ργλοωικό αποσπήσλατα

”εκΏδα 47 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
”εκΏδα 54 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
”εκΏδα 149 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
”εκΏδα 197 - Problem. To find the last term of an arithmetical progression when its first term, common difference, and number of terms are known. Solution. In this case a, r, and n are supposed to be known, and I is to be found.
”εκΏδα 262 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
”εκΏδα 62 - A term may be transposed from one member of an equation to the other by changing its sign.
”εκΏδα 44 - Arrange the terms in the statement so that the causes shall compose one couplet, and the effects the other, putting ( ) in the place of the required term. II. If the required term be an extreme, divide the product of the means by the given extreme ; if the required farm be a mean, divide the product of the extremes by the given mean.
”εκΏδα 46 - Likewise, the sum of the antecedents is to their difference, as the sum of the consequents is to their difference.
”εκΏδα 99 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes ß; but the denominator being doubled, and the numerator increased by 2, the value becomes f?
”εκΏδα 206 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? Ans.