### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 On Vulgar Fractions 1 On Decimal Fractions 16 Signs used in Algebra 29 Division 37 On Algebraical Fractions 51 Simple Equations 64 Quadratic Equations 79 On Ratios 91
 On the Impossible roots of an Equation 194 On Unlimited Problems 203 On Continued Fractions 209 The cube root of atv 217 On the Summation of Series 227 On Chances 259 On Life Annuities 272 On the Construction of Equations 292

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 70 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.
сЕКъДА 65 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive \$1.25, and for every day he was absent he should forfeit 50 cents.
сЕКъДА 5 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
сЕКъДА 53 - Divide this quantity, omitting the last figure, by twice the part of the root already found, and annex the result to the root and also to the divisor, then multiply the divisor as it now stands by the part of the root last obtained for the subtrahend.
сЕКъДА 58 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
сЕКъДА 49 - 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 87 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
сЕКъДА 81 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
сЕКъДА 53 - Divide the number thus formed, omitting the last figure, by twice the part of the root already obtained, and annex the result to the root and also to the divisor. Then multiply the divisor, as it now stands, by the part of the root last obtained, and subtract the product from the number formed, as above mentioned, by the first remainder and second period. If there be more periods- to be brought down, the operation must be repeated.
сЕКъДА 19 - Multiply as in whole numbers, and point off as many decimal places in the product as there are in both multiplicand and multiplier. DIVISION. Divide as in whole numbers, and point off...