Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the Capacities of the Young and the Method of Instruction in Schools and AcademiesDurrie & Peck, 1846 - 252 sider |
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3d power 4th power added affected quadratic antecedent arithmetical binomial BINOMIAL THEOREM changing the sign co-efficients common denominator common difference common index completing the square compound quantities contains cube root denoted Divide the number dividend division divisor dollars equal factors equal quantities evolution EXAMPLES FOR PRACTICE expressed Find the nth Find the square find two numbers following GENERAL RULE fractional index gallons Geometry given quantity greater greatest common measure Hence improper fraction integer involution involved last term leading quantity less letter merator Mult multiplicand negative quantity nth root number of terms numerator and denominator positive prefixed principles Prob proportion quadratic equation quan QUEST.-How QUEST.-What quotient radical quantities radical sign ratio Reduce the equation remainder Required the cube Required the nth sides square root substitution subtracted subtrahend third tion tity Transposing twice unknown quantity whole
Populære avsnitt
Side 234 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Side 220 - What two numbers are as 2 to 3 ; to each of which, if 4 be added, the sums will be as 5 to 7 ? ., / } Prob.
Side 212 - It may undergo any change which will not affect the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Side 53 - 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.
Side 62 - 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.
Side 200 - 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., are all equal ; the quantities are said to be in continued proportion.
Side 194 - COMPOUND RATIO is THE RATIO OF THE PRODUCTS, OF THE CORRESPONDING TERMS OF TWO OR MORE SIMPLE RATIOS.* Thus the ratio of 6...
Side 47 - 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.
Side 226 - In geometrical progression, the last term is equal to the product of the first, into that power of the ratio whose index is one less than the number of terms. When the least term and the ratio are the same, the equation becomes z=rr"~ l =r".