# An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts to Simplify Some of the More Difficult Parts of the Science

Carey & Lea, 1838 - Algebra - 324 pages

### Contents

 53 117 57 129
 The differential method 283 CHAPTER III 317

### 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 55 - 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 85 - 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 85 - 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 39 - 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 57 - 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 42 - An equation of the third, fourth, &c. degree, is one in which the highest power of the unknown quantity is the third, fourth, &c.