The elements of algebra |
Autres éditions - Tout afficher
The elements of algebra, Volume 1 John William Colenso (bp. of Natal.) Affichage du livre entier - 1848 |
The elements of algebra, Volume 2 John William Colenso (bp. of Natal.) Affichage du livre entier - 1849 |
Expressions et termes fréquents
a+b-c a+b+c a²+2ab+b² a²+b² a²x² algebraical quantities Arithmetic Binomial Theorem bracket cent coeff coefficient common difference common factor common measures compound contain cube root decimal places denominator denote digits dimensions Diophantus Divide divisor equal equation expressed Extract the square Find the G. C. M. Find the number Find the square Find the sum find the value five terms fraction gallons GEOM given hence integer least common multiple letters Mult Multiply negative nonary nth root nth term positive integer quadratic quinary quotient radix ratio Reduce remainder result scale septenary simple factor Simplify square root subtracting Sum the A. P. surd things third three numbers unknown quantity Varns vulgar fraction whence x²+y² yards ах
Fréquemment cités
Page 73 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together.
Page 139 - Magnitudes are said to be in the same ratio, the first to the second and the third to the fourth, when, if any equimultiples whatever be taken of the first and third, and any equimultiples whatever of the second and fourth, the former equimultiples alike exceed, are alike equal to, or alike fall short of, the latter equimultiples respectively taken in corresponding order.
Page xxii - A privateer running at the rate of 10 miles an hour discovers a ship 18 miles off making way at the rate of 8 miles an hour : how many miles can the ship run before being overtaken ? Ans.
Page 54 - To prove the Rule for finding the Greatest Common Measure of Two Quantities.
Page 77 - A person bought a chaise, horse, and harness, • for £60 ; the horse came to twice the price of the harness, and the chaise to twice the price of the horse and harness ; what did he give for each?
Page 26 - Transpose the terms of the equation in such a manner, that those which contain a^ may be on one side of the equation, and the known quantities on the other ; divide (if necessary) by the coefficient of x2 ; then extract the square root of each side of the equation, and it will give the value of x.
Page 87 - A Farmer parting with his stock, sells to one person 9 horses and 7 cows for £300 ; and to another, at the same prices, 6 horses and 13 cows for the same sum. What was the price of each ? Ans.
Page 65 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Page 138 - This is bd expressed by saying that a is to b as с is to d, and the proportion is written a : b : : с : d, or a : b = с : d. The terms a and d are called the extremes, b and с the means.
Page 79 - In a number of two digits the units' digit exceeds the tens' digit by 4, and when the number is divided by the sum of its digits the quotient is 4.