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" multiplied twice by itself, or, •which is the same thing, when the square of a number has been multiplied once more by that number, -we obtain a product -which is called a cube, or a cubic number. Thus, the cube of a is aaa, since it is the product... "
An Introduction to the Elements of Algebra: Designed for the Use of Those ... - Seite 38
von Leonhard Euler - 1821 - 216 Seiten
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Elements of Algebra

Leonhard Euler - 1822 - 640 Seiten
...evident that those parts must be 7 and 5. CHAP. XIV. Of Cubic Numbers. 152. When a number has been multiplied twice by itself, or, which is the same...aaa, since it is the product obtained by multiplying я by itself, or by a, and that square ал again by a. The cubes of the natural numbers, therefore,...
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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 Seiten
...exists only in imagination. CHAP. XVI. OF CUBIC NUMBERS. 161. WHEN a number is multiplied twice into itself, or, which is the same thing, when the square of a number is multiplied by the number itself, the product obtained is called a cube, or a cubic number. Thus,...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - 1825 - 404 Seiten
...that what is required is impossible.* CHAPTER XIV. Of Cubic Numbers. * 152. WHEN o number has been multiplied twice by itself, or, which is the same...product obtained by multiplying a by itself, or by a, and that square aa again by a. The cubes of the natural' numbers therefore succeed each other in...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - 1825 - 394 Seiten
...certain that what is required is impossible.* CHAPTER XIV. Of Cubic Numbers. 152. WHEN a number has been multiplied twice by itself, or, which is the same...product obtained by multiplying a by itself, or by a, and that square aa again by a. The cubes of the natural numbers therefore succeed each other in...
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The North American Arithmetic: Part Third, for Advanced Scholars, Band 3

Frederick Emerson - 1834 - 300 Seiten
...power of any number is called a cube. Therefore, if we multiply the square of a number by its root, we obtain a product, which is called a cube, or a cubic number. For instance, 4»multiplied by 4 produces 16, which is the square of 4, as shown on one of the sides...
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The North American Arithmetic: Part Third, for Advanced Scholars

Frederick Emerson - 1839 - 300 Seiten
...power of any number is called a cube. Therefore, if we multiply the square of a number by its root, we obtain a product, which is called a cube, or a cubic number. For instance, 4 multiplied by 4 produces 16, which is the square of 4, as shown on one of the sides...
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - 1839 - 300 Seiten
...power of any number is called a cube. Therefore, if we multiply the square of a number by its root, we obtain a product, which is called a cube, or a cubic number. For instance, 4 multiplied by 4 produces 16, which is the square of 4, as shown on one of the sides...
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The North American Arithmetic: part third

Frederick Emerson - 1840 - 302 Seiten
...power of any number is called a cube. Therefore, if we multiply the square of a number by its root, we obtain a product, which is called a cube, or a cubic number. For instance, 4 multiplied by 4 produces 16, which is the square of 4, as shown on one of the sides...
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The North American Arithmetic: Part Third, for Advanced Scholars

Frederick Emerson - 1846 - 318 Seiten
...power of any number is called a cube. Therefore, if we multiply the square of a number by its root, we obtain a product, which is called a cube, or a cubic number. For instance, 4 multiplied by 4 produces 16, which is the square of 4, as shown on one of the sides...
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The North American Arithmetic: for advanced scholars. Part third

Frederick Emerson - 1847 - 300 Seiten
...original quantity. When the quantity to be Therefore, if we multiply the square of a number by its root, we obtain a product, which is called a cube, or a cubic number. For instance, 4 multiplied by 4 produces 16, which is the square of 4, as shown on one of the sides...
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