Elements of Algebra |
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added affected algebraic already answer arithmetical arrangements becomes binomial called coefficient consequence consisting contain continued denominator determine difference distance divide dividend division divisor entire number enunciation equal equation evident example exponent expression extract factor figure find the values formula four fourth fraction given gives greater greatest common divisor indicated interest known less letters logarithm manner means miles multiplied necessary negative obtain operations performed polynomials positive preceding problem progression proportion proposed question quotient radical raised ratio received reduced remainder represent resolve respectively result rule second degree second term shillings sides simple solution sought square root substitute subtract suppose taken tens term third third power third root tion twice units unity unknown quantities values of x whence whole yards
Popular passages
Page 240 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Page 31 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 149 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Page 100 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 9 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Page 215 - Therefore, any term of the progression is equal to the first term multiplied by the ratio raised to a power 1 less than the number of the term.
Page 98 - If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed.
Page 213 - A number consisting of three digits which are in arithmetical progression, being divided by the sum of its digits, gives a quotient 48 ; and if 198 be subtracted from the number, the digits will be inverted.
Page 67 - 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. A 14ff days, B 17ff, and C 23J y . 21.
Page 38 - 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.
Bibliographic information
| Title | Elements of Algebra |
| Author | William Smyth |
| Edition | 6 |
| Publisher | J.Griffin, 1847 |
| Original from | Harvard University |
| Digitized | 23 Oct 2007 |
| Export Citation | BiBTeX EndNote RefMan |