An Introduction to the Elements of Algebra: Designed for the Use of Those who are Acquainted Only with the First Principles of ArithmeticHilliard and Metcalf, 1821 - 216 σελίδες |
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Σελίδα 2
... unity . The most natural mode of forming numbers is , to begin with joining one unity to another , then , to this sum another ; and continuing in this manner , we obtain collections of units , which are expressed by particular names ...
... unity . The most natural mode of forming numbers is , to begin with joining one unity to another , then , to this sum another ; and continuing in this manner , we obtain collections of units , which are expressed by particular names ...
Σελίδα 12
... unity , and if ciphers come between , regard them as 9s . 18. For greater convenience , when it is necessary to decrease the upper figure by unity , we can suffer it to retain its value , and add this unit to the corresponding lower ...
... unity , and if ciphers come between , regard them as 9s . 18. For greater convenience , when it is necessary to decrease the upper figure by unity , we can suffer it to retain its value , and add this unit to the corresponding lower ...
Σελίδα 20
... unity , as , for instance , when it is required to multiply by SO , or 300 , or 3000 , which are only 10 times 3 , or 100 times 3 , or 1000 times 3 , & c . the operation is made to consist of two parts , we at first multiply by the ...
... unity , as , for instance , when it is required to multiply by SO , or 300 , or 3000 , which are only 10 times 3 , or 100 times 3 , or 1000 times 3 , & c . the operation is made to consist of two parts , we at first multiply by the ...
Σελίδα 32
... unity , we suppose unity divided into a certain number of parts , sufficiently small to be contained a certain number of times in these quantities , or to measure them . In the idea thus formed of their magnitude there are two elements ...
... unity , we suppose unity divided into a certain number of parts , sufficiently small to be contained a certain number of times in these quantities , or to measure them . In the idea thus formed of their magnitude there are two elements ...
Σελίδα 33
... unity is divided , deter- mines the magnitude of these parts , which continues the same , while the denominator remains unchanged ; and by augmenting the numerator , the number of these parts is augmented , and con- sequently the ...
... unity is divided , deter- mines the magnitude of these parts , which continues the same , while the denominator remains unchanged ; and by augmenting the numerator , the number of these parts is augmented , and con- sequently the ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to the Elements of Algebra: Designed for the Use of Those ... Professor John Farrar,Leonhard Euler Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.