Elements of Algebra: Including Strums' Theorem |
Other editions - View all
Common terms and phrases
abc2 affected algebraic expression algebraic quantities arithmetical arrangements becomes binomial Binomial Theorem called co-efficient common difference consequently contain contrary signs cube root decimal denominator divide dividend division entire number enunciation equa equal equation involving example exponent extract the square Extraction of Roots factors figure find the square formula fourth fraction given equation given number gives greater greatest common divisor hence inequality least common multiple less letters logarithm manner minus monomial multiplicand multiplied negative nth root number of terms obtain operations ounces perfect square preceding problem progression Proportion proposed equation quan quotient radical sign remainder result second degree second member second term simplest form square root substituted suppose taken Theorem third tion tities trinomial units unity unknown quantity whence whole number
Popular passages
Page 249 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result.
Page 153 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 18 - Hence, for the multiplication of polynomials we have the following RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus.
Page 18 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Page 176 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 64 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 82 - Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 12 - HOW divided, of the algebraic analysis may be divided into two classes : those which are known or given, and those which are unknown or sought. The Howrepre- known are uniformly represented by the first letters of the alphabet, a, b, c, d, &c. ; and the unknown by the final letters, x, y, z, v, w, &c.
Page 152 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.