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 7
... evident , that the formation of numbers , by the successive union of units , is independent of the nature of these units , and that this must also be the case with the properties resulting from this formation ; by which properties we ...
... evident , that the formation of numbers , by the successive union of units , is independent of the nature of these units , and that this must also be the case with the properties resulting from this formation ; by which properties we ...
Σελίδα 19
... evident that , when the multiplicand is terminated by 0 , the operation can commence only with its first significant figure ; but to give the product its proper value , it is necessary to put , on the right of it , as many Os as there ...
... evident that , when the multiplicand is terminated by 0 , the operation can commence only with its first significant figure ; but to give the product its proper value , it is necessary to put , on the right of it , as many Os as there ...
Σελίδα 37
... evident , by the very mode of finding it , that there can be no common divisor greater than 13 , since 13 must be divided by it . It is convenient in practice , to place the successive divisions one after the other , and to dispose of ...
... evident , by the very mode of finding it , that there can be no common divisor greater than 13 , since 13 must be divided by it . It is convenient in practice , to place the successive divisions one after the other , and to dispose of ...
Σελίδα 43
... evident , from the preceding example , that the frac- tion contains unity , or a whole one , and 3 , and the reasoning , which led to this conclusion , shows also , that every fractional expression , of which the numerator exceeds the ...
... evident , from the preceding example , that the frac- tion contains unity , or a whole one , and 3 , and the reasoning , which led to this conclusion , shows also , that every fractional expression , of which the numerator exceeds the ...
Σελίδα 46
... evident that , whenever the numerator of the divisor is less than the denominator , the quotient will exceed the dividend , because the divisor in that case , being less than unity , must be contained in the dividend a greater number of ...
... evident that , whenever the numerator of the divisor is less than the denominator , the quotient will exceed the dividend , because the divisor in that case , being less than unity , must be contained in the dividend a greater number of ...
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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.