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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Page 12
... preceding articles , the rule to be observed in performing subtraction may be given thus . Place the less number under the greater , so that their units of the same order may be in the same column , and draw a line under them ...
... preceding articles , the rule to be observed in performing subtraction may be given thus . Place the less number under the greater , so that their units of the same order may be in the same column , and draw a line under them ...
Page 13
... preceding result , and write underneath the difference 1 , produced by what was reserved from the column of hundreds , in performing the addition . The sum of the column of hundreds , taken by itself , amounts to but 18 ; if we take ...
... preceding result , and write underneath the difference 1 , produced by what was reserved from the column of hundreds , in performing the addition . The sum of the column of hundreds , taken by itself , amounts to but 18 ; if we take ...
Page 14
... preceding it on the left , the remainder 1 , written beneath , will show what was reserved from the column of tens . The sum of the last 11 , taken from 13 , leaves for its remainder 2 tens , the number reserved from the column of units ...
... preceding it on the left , the remainder 1 , written beneath , will show what was reserved from the column of tens . The sum of the last 11 , taken from 13 , leaves for its remainder 2 tens , the number reserved from the column of units ...
Page 19
... preceding product , as is shown by the following examples : Multiply 956 8200 6 9 7012 5 80970 4 5736 73800 35060 323880 8104 by 4. Ans . 32416 . 730 by 3. Ans . 2190 . 360500 by 6. Ans . 2163000 . 9097030 by 9. Ans . 81873270 . 20508 ...
... preceding product , as is shown by the following examples : Multiply 956 8200 6 9 7012 5 80970 4 5736 73800 35060 323880 8104 by 4. Ans . 32416 . 730 by 3. Ans . 2190 . 360500 by 6. Ans . 2163000 . 9097030 by 9. Ans . 81873270 . 20508 ...
Page 20
... preceding article ) by writing one , two , three , & c . ciphers on the right of this product . Let it be required , for instance , to multiply 764 by 300 . 764 300 229200 The four significant figures of this product result from the ...
... preceding article ) by writing one , two , three , & c . ciphers on the right of this product . Let it be required , for instance , to multiply 764 by 300 . 764 300 229200 The four significant figures of this product result from the ...
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An Introduction to the Elements of Algebra: Designed for the Use of Those ... Professor John Farrar,Leonhard Euler No preview available - 2016 |
Common terms and phrases
added algebra Arith arithmetical arithmetical progression called CHAPTER ciphers coefficient column comma compound numbers consequently consider contains crowns cube root decametre decimal figures decimal fraction denominator difference division dollars Dry Measures ducats equal equation evident Examples for practice exponent expression factors fourth frac gallons geometrical progression given number gives greater number greatest common divisor hundred hundredths instance integer last term lastly less letters manner measures metical multi multiplicand multiplied negative numbers number of days number of terms obtain operation partial dividend pence performed pound preceding prime numbers progression proportion proposed quantity question quotient ratio reduced remainder represented required to find result rule shews shillings square root subtract suppose tens tenth third thousandths tion units unity vulgar fraction whence whole numbers 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.