## An Introduction to the Elements of Algebra: Designed for the Use of Those who are Acquainted Only with the First Principles of Arithmetic |

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### Contents

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### Common terms and phrases

a a b a b b added algebra arithmetical progression called CHAPTER ciphers coefficient comma compound numbers consequently consider contains crowns cube root decimal fraction denominator difference division dollars ducats Eacamples for practice ells equal equation evident exponent expression factors fourth frac gallons geometrical progression given number gives greater number greatest common divisor hundred hundredths infinite series instance integer Jins kind last term lastly less letters manner measures metical multi multiplicand multiplied negative numbers number of days number of terms observed obtain operation partial dividend pence performed pound preceding proportion proposed question quotient ratio reduced relation remainder represented required to find resolved result rule shews shillings square root subtract Suppose tens tenth third tion units unity unknown quantity vulgar fraction whence wherefore whole number write yards

### Popular passages

Page ii - 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 107 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.

Page 132 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...

Page 73 - Divide the given denomination by that number which it takes of this denomination to make ONE of the next higher. Proceed in this manner with each successive denomination, till you come to the one required.

Page 34 - ... by the same number, the value of the fraction will not be altered ; for if, on the one hand, by dividing the numerator the fraction is made 2, 3, &c.

Page 119 - A man being asked how many sheep he had in his drove, said, if he had as many more, half as many more, and 7 sheep and a half, he should have 20; how many had he ? Ans. 5.

Page 123 - ... heavens, as that which surrounds an artificial globe, is divided into the same number of parts. The number 360 is entirely arbitrary, and any other number, had mathematicians chosen, might have been fixed upon : and hence the French, in their measures of the circle, divide it into 400 equal parts or degrees ; each degree into 100 minutes, and each minute into 100 seconds. The reason why the number 360 appears to have been selected is, that this number may be divided into halves, quarters, and...

Page 117 - Part 1200 acres of land among A, B, and C, so that B may have 100 more than A, and C 64 more than B.

Page 214 - 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 107 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.