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

Ρεμ εμτοπΏσαλε ξώιτιξίρ στιρ σθμόηειρ τοποηεσΏερ.

### –εώιεςϋλεμα

 Fractions 123 Fractional Equations 148 Simultaneous Simple Equations 174 Problems with Two or More Unknown Numbers 190 Simple Indeterminate Equations 205 XrV Inequalities 208
 Variables and Limits 338 XXrV Properties of Series 345 Binomial Theorem 352 Logarithms 372 Graphs 409 –μεθλατιξή διξαιΰλατα

### Ργλοωικό αποσπήσλατα

”εκΏδα 276 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
”εκΏδα 252 - If the product of two quantities 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, divide by bd.
”εκΏδα 316 - 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.
”εκΏδα 244 - If twelve times the units' digit is subtracted from the number, the order of the digits will be reversed. Find the number.
”εκΏδα 25 - Two men start from the same place and travel in the same direction, one 30 miles a day, and the other 20 miles a day.
”εκΏδα 118 - 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.
”εκΏδα 56 - To Multiply a Polynomial by a Monomial, Multiply each term of the polynomial by the monomial, and connect the partial products with their proper signs.
”εκΏδα 263 - The distance a body falls from rest varies as the square of the time it is falling.
”εκΏδα 254 - 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.
”εκΏδα 276 - Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21.