An Introduction to the Elements of Algebra: Designed for the Use of Those who are Acquainted Only with the First Principles of Arithmetic |
From inside the book
Results 1-5 of 22
Page 2
... continuing in this manner , we obtain collections of units , which are expressed by particular names ; the whole of these names , which varies in different languages , composes the spoken numera- tion . 4. As there are no limits to the ...
... continuing in this manner , we obtain collections of units , which are expressed by particular names ; the whole of these names , which varies in different languages , composes the spoken numera- tion . 4. As there are no limits to the ...
Page 12
... Continuing the subtraction in the other columns in the same manner , no difficulty occurs , and we find the remainder , as put down in the example . 17. Recapitulating the remarks made in the two preceding articles , the rule to be ...
... Continuing the subtraction in the other columns in the same manner , no difficulty occurs , and we find the remainder , as put down in the example . 17. Recapitulating the remarks made in the two preceding articles , the rule to be ...
Page 20
... Continuing this reasoning , it will be perceived that , accord- ing to our system of numeration , a number is multiplied by 10 , 100 , 1000 , & c . by writing on the right of the multiplicand as many ciphers as there are on the right of ...
... Continuing this reasoning , it will be perceived that , accord- ing to our system of numeration , a number is multiplied by 10 , 100 , 1000 , & c . by writing on the right of the multiplicand as many ciphers as there are on the right of ...
Page 29
... continue thus , until all the figures of the given dividend are brought down . When a partial dividend occurs , which does not contain the divisor , it is necessary , before bringing down another figure of the dividend , to put a cipher ...
... continue thus , until all the figures of the given dividend are brought down . When a partial dividend occurs , which does not contain the divisor , it is necessary , before bringing down another figure of the dividend , to put a cipher ...
Page 33
... continues the same , while the denominator remains unchanged ; and by augmenting the numerator , the number of these parts is augmented , and con- sequently the fraction increased . It is thus , for instance , that exceeds , and that ...
... continues the same , while the denominator remains unchanged ; and by augmenting the numerator , the number of these parts is augmented , and con- sequently the fraction increased . It is thus , for instance , that exceeds , and that ...
Contents
1 | |
7 | |
13 | |
20 | |
30 | |
44 | |
47 | |
51 | |
1 | |
12 | |
22 | |
27 | |
33 | |
43 | |
58 | |
61 | |
57 | |
59 | |
63 | |
69 | |
76 | |
84 | |
95 | |
103 | |
113 | |
121 | |
128 | |
90 | |
96 | |
113 | |
116 | |
125 | |
130 | |
135 | |
139 | |
152 | |
162 | |
204 | |
Other editions - View all
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.