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a²x² added algebraic amount arithmetical means arithmetical progression binomial co-efficient common difference common ratio compound interest cost cube root decimal Divide dividend division dollars equal factors exponent feet find the logarithm Find the number Find the square Find the sum Find the value formula four geometrical progression given number gives greater greatest common divisor Hence ILLUSTRATIVE EXAMPLES integral least common multiple less literal factors mantissa miles an hour monomial multiplicand Multiply negative numbers nth root number of terms perfect square polynomial positive Problems proper fraction proportion Quadratic Equations quotient radical sign reduced remainder represent the number result rithm Separate the number solution Solve the equation square root substituting subtract third tion unknown quantity x₁ yards
Page 76 - 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 84 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 237 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 185 - A detachment of an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines. Required the number of men.
Page 147 - SPECIFIC GRAVITY. THE Specific Gravity of a body, is the ratio of its weight to the weight of an equal volume of some other body assumed as a standard.
Page 232 - With reference to any base, the logarithm of a number is the exponent of the power to which the base must be raised to produce the given number.
Page 155 - 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 293 - 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.