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" Then divide the first term of the remainder by the first term of the divisor... "
The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ... - Σελίδα 33
1836 - 472 σελίδες
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Τόμος 2

Isaac Dalby - 1806 - 526 σελίδες
...the quotient is the second term m the root : VOL. I I. K Subtract the cube of the root already found from the given quantity, and divide the first term of the remainder by 3 times the square of the first term, as before, and the quotient is the third term in the root : Subtract...

A Treatise on Algebra, in Practice and Theory: With Notes and ..., Τόμος 1

John Bonnycastle - 1813 - 456 σελίδες
...next term of the root. Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before; and proceed in this manner, till the whole is finished (л1). - (т) As this...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 304 σελίδες
...which is used in arithmetic. After arranging the terms according to the powers of one of the letters, take the root of the first term,- for the first term of the required root, and subtract the power from the given quantity. Bring down two other terms for a dividend. Divide by...

An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 σελίδες
...next term of the root * Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before ; and proceed in this manner tilt the whole is finished. (;,) * EXAMPLES. 1....

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 σελίδες
...next term of the root. Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before. Proceed in the same manner, for the next following term of the root ; and so...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 σελίδες
...next term of the root. Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before. Proceed in the same manner, for the next following term of the root ; and so...

An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 336 σελίδες
...next term of the root. Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before ; and proceed in this manner till the whole is finished*. « As this rule, in...

The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ...

Enoch Lewis - 1826 - 180 σελίδες
...63. CASE 3. 38. To extract any root of a compound quantity. Arrange the terms as before directed ; take the root of the first term for the first term of the root, and subtract its power from the given quantity. Take for a divisor, twice this root, three times...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 σελίδες
...which is used in arithmetic. After arranging the terms according to the powers of one of the letters, take the root of the first term, for the first term of the required root, and subtract the power from the given quantity. Bring down two other terms for a dividend. Divide by...

A Concise System of Mathematics ...

Alexander Ingram - 1830 - 458 σελίδες
...— 1. = x'—Sxa + a1. *• ; 6. , 78. TO EXTRACT ANY OTHER ROOT. Arrange the terms as in Division ; take the root of the first term for the first term of the root ; raise this root to a power less by one than the given power, and multiply it by the name of...




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