### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 The Signs 7 Axioms 9 ADDITION 19 SUBTRACTION 25 SECTION VI 31 SECTION VII 37 SECTION VIII 43 SECTION X 54 SECTION XII 63
 SECTION XV 118 Powers and Roots 125 SECTION XVII 154 To add Radicals 160 SECTION XVIII 170 SECTION XIX 178 Completing the Square 178 Third Method of Completing the Square 185 Second Method of Completing the Square 182 Problems 193

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 65 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
сЕКъДА 40 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
сЕКъДА 44 - The square of the sum of two quantities is equal to the SQuare of the first, plus twice the product of the first by the second, plus the square of the second.
сЕКъДА 94 - D. The distance from A to D is 34 miles ; the distance from A to B is to the distance from C to D as 2 to 3 ; and ё of the distance from A to B, added to one half the distance from C to D, is three times the distance from .B to C.
сЕКъДА 44 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
сЕКъДА 81 - RATIO is the relation of one quantity to another of the same kind; or, it is the quotient which arises from dividing one quantity by another of the same kind.
сЕКъДА 202 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
сЕКъДА 81 - Thus, the ratio of a to b is written, a : b, or v ; read, a is to b, or a divided by b. 105. PROPORTION is an equality of ratios. Four quantities are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth.
сЕКъДА 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
сЕКъДА 213 - The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. What are the numbers...