## An Introduction to Algebra: With Notes and Observations: Designed for the Use of Schools and Places of Public Education |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

according added affirmative algebra answer appears approximation arise arithmetical co-efficient common consequently contains continued converted cube root decimal denoted determine diff difference divided dividend division divisor equal EXAMPLES extremes find the sum find the value find x four fourth fraction gallons geometrical geometrical series give given number greater greatest increase indices infinite series involved known last term least less letters logarithm manner means method mixed multiplied natural numbers nearly negative Note number of terms observed positive PRACTICE PROBLEM proper proportion proposed quadratic equation question quotient ratio Reduce remainder Required the sum required to find result RULE second term share side signs simple equation sought square number square root substituted subtracted sum required Suppose surd taken third tion unknown quantity value of x Whence whole numbers

### Popular passages

Page 26 - 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 4 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...

Page 98 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.

Page 61 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.

Page 164 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of differences.

Page 97 - A person has two horses, and a saddle worth £50 ; now if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.

Page 28 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.

Page 192 - For the same reason, if the logarithm of any number be multiplied by the index of its power, the product will be equal to the logarithm of that power.

Page 39 - 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 50 - ... 4. Divide the dividend by the divisor, and the quotient will be the next term of the root. 5. Involve the whole root...