An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts to Simplify Some of the More Difficult Parts of the Science |
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arithmetical progression ax² ax³ barley binomial bushels bx² Clear the equation coefficient common denominator completing the square consequently crowns cube root cubic equation cx² difference digits dividend divisor equa equal equation containing EXAMPLES expression extracting the root figure Find a number find the values Find two numbers gallons of brandy geometrical Given greatest common measure guineas hence improper fraction integral known terms last term least common multiple logarithms method moidores Multiply negative number of gallons number of terms obtained preceding quadratic QUESTION quotient radicals the equation ratio Reduce remainder Required the sum required to find result second equation shillings simple equation square root substituting subtracting surd THEOREM tion transposing transposition unknown quantities values of x whence whole number
Popular passages
Page 74 - If four quantities be in arithmetical •proportion, the sum of the extremes is equal to the sum of the means.
Page 63 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?
Page 75 - The sum of the first and third of four numbers in geometrical progression is 148, and the sum of the second and fourth is 888.
Page 75 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Page 72 - ... of the sum of the shares of the other three, the share of the second ^ of the sum of the other three, and the share of the third...
Page 41 - MULTIPLY THE QUANTITY INTO ITSELF, TILL IT is TAKEN AS A FACTOR, AS MANY TIMES AS THERE ARE UNITS IN THE INDEX OF THE POWER TO WHICH THE QUANTITY IS TO BE RAISED.
Page 63 - Required his income. dollars. 41. There are two numbers in proportion of 2 to 3, and if 4 be added to each of them, the sums will be in proportion of 5 to 7 ? Ans. 16 and 24. 42. It is required to find a number such, that if it be increased by 7, the square root of the sum shall be equal to the square root of the number itself, and 1 more. Ans. 9.
Page 52 - An equation of the third, fourth, &c. degree, is one in which the highest power of the unknown quantity is the third, fourth, &c.