### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 DEFINITIONS AND NOTATION 1 SIMPLE EQUATIONS 15 Positive AND NEGATIVE Numbers 33 ADDITION AND SUBTRACTION 49 MULTIPLICATION AND DiviSION 59 SPECIAL RULES 75 FACTORS 85 85 106
 INEQUALITIES 208 INVOLUTION AND Evolution 212 THEORY OF EXPONENTS 230 RADICAL EXPRESSIONS 238 IMAGINARY EXPRESSIONS 256 QUADRATIC EQUATIONS 262 SIMULTANEOUS QUADRATICS 293 RATIO PROPORTION AND VARIATION 303

 Common FACTORS AND MULTIPLES 108 Fractions 123 FRACTIONAL EQUATIONS 148 SIMULTANEOUS SIMPLE EQUATIONS 174 PROBLEMS With Two OR MORE UNKNOWN NUMBERS 190 SIMPLE INDETERMINATE EQUATIONS 205
 PROGRESSIONS 322 VARIABLES AND LIMITS 338 PROPERTIES OF SERIES 345 BINOMIAL Theorem 352 LOGARITHMS 372 пМЕУЛАТИЙэ ДИЙАИЧЛАТА

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 328 - 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.
сЕКъДА 10 - If an expression within a parenthesis is preceded by the sign +, the parenthesis may be removed without making any change in the signs of the terms of the expression.
сЕКъДА 314 - The area of a circle varies as the square of its radius, and the area of a circle whose radius is 1 foot is 3.1416 square feet.
сЕКъДА 164 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
сЕКъДА 368 - 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.
сЕКъДА 21 - Two men start from the same place and travel in the same direction ; one, 5 miles an hour ; the other, 7 miles an hour.
сЕКъДА 54 - To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial products: (6a — 3ft) x 3c = 18uc -96c.
сЕКъДА 170 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.
сЕКъДА 315 - The volume of a sphere varies as the cube of its radius. If the...
сЕКъДА 34 - From these four cases we see that subtracting a positive number is equivalent to adding an equal negative number ; and that subtracting a negative number is equivalent to adding an equal positive number.