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" There are other problems of the same kind, which lead to equations of a degree superior to the second, and yet they may be resolved by the aid of equations of the first and second degrees, by introducing unknown auxiliaries. "
Elements of Algebra: Tr. from the French of M. Bourdon, for the Use of the ... - Page 119
by Bourdon (M., Louis Pierre Marie) - 1831 - 389 pages
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...would give rise to any two equations of the second degree with two unknown quantities. An equation with two unknown quantities is said to be of the second...exponents of the two unknown quantities is equal to 2, and does not exceed 2. Thus, 3 a;2 — 4x + y3 — xy — 5 ?/ + 6 = 0, 7xy — 4x + y = 0, are equations...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...resolved by the aid of equations of the first and second degrees, by introducing unknown auxiliaries. 152. We will now consider the case in which a problem leads...said to be of the second degree, when it contains a term in which the sum of the exponents of the two unknown quantities is equal to 2. Thus, a^-r^r+y3—...
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Elements of Algebra

Algebra - 1838 - 372 pages
...resolved by the aid of equations of the first and second degrees, by introducing unknown auxiliaries. 152. We will now consider the case in which a problem leads...quantities is said to be of the second degree, when the greatest sum of the exponents of the two unknown quantities in any term, is equal to 2. Thus, 33?—...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...resolved by the aid of equations of the first and second degrees, by introducing unknown auxiliaries. 152. We will now consider the case in which a problem leads...involving two unknown quantities is said to be of the sci'.oiid degree, when the greatest sum of the exponents of tlie two unknown quantities in any term,...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...resolved by the aid of equations of the first and second degrees, by introducing unknown auxiliaries. 152. We will now consider the case in which a problem leads...quantities is said to be of the second degree, when the greatest sum of the exponents of the two unknown quantities in any term, is equal to 2. Thus, 3x?—ix+y...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...(186.) On the solution of quadratic equations containing two unknown quantities. An equation containing two unknown quantities is said to be of the second degree, when it involves terms in which the sum of the exponents of tJie un/mown quantities is equal to 2, but never...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...(186.) On the solution of quadratic equations containing two unknown quantities. An equation containing two unknown quantities is said to be of the second degree, when it involves terms in which the sum of the exponents of the unknown quantities is equal to 2, but never...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 544 pages
...THE SOLUTION OF QUADRATIC EQUATIONS CONTAINING TWO UNKNOWN QUANTITIES. 189. An equation containing two unknown quantities is said to be of the second degree when it involves terms in which the sum of the exponents of the unknown quantities is equal to 2. but never...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...or 60 dollars. aUADRATIC EQUATIONS CONTAINING TWO UNKNOWN dUANTITIES. (186.) An equation containing two unknown quantities is said to be of the second degree when it involves terms in which the sum. of the exponents of the unknown quantities is equal to 2, but never...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...15. EQUATIONS OF THE SECOND DEGREE WITH MORE THAN ONE UNKNOWN QUANTITY. (172.) An equation containing two unknown quantities, is said to be of the second degree when the greatest sum of the exponents of the unknown quantities in any term is equal to two. Thus, and...
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