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4th power added addition affected algebraic altered angle antecedent applied arithmetical becomes binomial called changed co-efficient common consequent considered consists contains cube root denoted difference Divide dividend division divisor dollars equal evolution EXAMPLES Expand expressed extracting extremes factors Find the square four fourth fraction gallons geometrical given greater half Hence inches increased indices integer inverted involved known last term length less letter manner means method miles Mult multiplied negative number of terms placed positive preceding prefixed principle Prob problem progression proportion quadratic QUEST.-How QUEST.-What quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder Required resolved rule sides simple square root substituting subtracted third tion Transposing triangle twice unit unknown quantity whole writing yards
Page 51 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 198 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c.
Page 232 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Page 21 - One quantity is said to be a multiple of another, when the former contains the latter a certain number of times without a remainder.
Page 228 - 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.
Page 60 - 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.
Page 35 - MULTIPLYING BY A WHOLE NUMBER is TAKING THE MULTIPLICAND AS MANY TIMES, AS THERE ARE UNITS IN THE MULTIPLIER.
Page 112 - II. Divide the greater number by the less and the preceding divisor by the last remainder till nothing remains. The last divisor is the...
Page 45 - As the product of the divisor and quotient is equal to the dividend, the quotient may be found, by resolving the dividend into two such factors, that one of them shall be the divisor. The other will, of course, be the quotient. Suppose abd is to be divided by a. The factor a and bd will produce the dividend. The first of these, being a divisor, may be set aside.