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 v
... remainder , excess , and difference General rule for subtraction Method of proof for addition and subtraction Page . 1 ibid . 2 4 6 7 79 9 · 10 12 · 13 Of Multiplication . The origin of multiplication An explanation of the terms ...
... remainder , excess , and difference General rule for subtraction Method of proof for addition and subtraction Page . 1 ibid . 2 4 6 7 79 9 · 10 12 · 13 Of Multiplication . The origin of multiplication An explanation of the terms ...
Σελίδα 10
... remainder , and difference , are synonymous , each answers to a particular manner of considering the separation of the number 9 into the parts 4 and 5 , which operation is always designated by the name subtraction . • 14. When the ...
... remainder , and difference , are synonymous , each answers to a particular manner of considering the separation of the number 9 into the parts 4 and 5 , which operation is always designated by the name subtraction . • 14. When the ...
Σελίδα 11
... remainder , 9242 , shows how much 9587 is greater than 345 . That the process here pursued gives a true result is indispu- table , because in taking from the greatest of the two numbers all the parts of the least , we evidently take ...
... remainder , 9242 , shows how much 9587 is greater than 345 . That the process here pursued gives a true result is indispu- table , because in taking from the greatest of the two numbers all the parts of the least , we evidently take ...
Σελίδα 12
... Remainder 3507 . As we cannot take the 5 units of the lower number from the 2 of the upper , we borrow 10 units from the 7000 , denoted by the figure 7 , which leaves 6990 ; joining the 10 we borrowed to the figure 2 , the upper number ...
... Remainder 3507 . As we cannot take the 5 units of the lower number from the 2 of the upper , we borrow 10 units from the 7000 , denoted by the figure 7 , which leaves 6990 ; joining the 10 we borrowed to the figure 2 , the upper number ...
Σελίδα 13
... remainder . We will now show by the example given in article 11 , how to perform all these subtractions at once . 527 2519 9812 73 Sum 12939 1120 We first add the numbers in the left hand column , which here contains thousands , and ...
... remainder . We will now show by the example given in article 11 , how to perform all these subtractions at once . 527 2519 9812 73 Sum 12939 1120 We first add the numbers in the left hand column , which here contains thousands , and ...
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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
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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.