Elements of AlgebraGinn & Company, 1896 - Algebra |
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A's chance a+bi ab+b² ab² ab³ algebraic arithmetical arithmetical mean arithmetical series arranged binomial black balls cent chance of drawing coefficient common factor Complete the square complex number contains convergent cube root cubic equation decimal denominator denote digits divided divisible divisor equal equation EXERCISE exponent expression Find the number Find the sum harmonical series Hence highest common factor hour imaginary number increased integral number less letters limit logarithm loge mantissa miles Multiply negative number number of terms obtained order of differences polynomial positive quadratic quadratic equation quantities quotient ratio remainder represent result second term selected Simplify Solve square root substituted Subtract surds unknown number vowels white ball whole number zero
Popular passages
Page 396 - Any two sides of a triangle are together greater than the third side.
Page 60 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Page 49 - 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.
Page 198 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term. 282. Every affected quadratic may be made to assume the form of aV ± 2 abx = c. To solve such an equation : The first step is to complete the square...
Page 265 - III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 284 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, dividing by bd, ad_ be bd~bd' ac or j- — -
Page 28 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.
Page 4 - Find two numbers such that when the greater is divided by the less the quotient is 4 and the remainder 3, and when the sum of the two numbers is increased by 38 and the •result divided by the greater of the two numbers the quotient is 2 and the remainder 2.
Page 217 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 278 - The first term of a ratio is called the antecedent, and the second term the consequent.