## American Edition of the British Encyclopedia: Or, Dictionary of Arts and Sciences ; Comprising an Accurate and Popular View of the Present Improved State of Human Knowledge, Volume 5 |

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... geometry, a name: used by some to denote infinite ellipses, m—H·m defined by

the

... geometry, a name: used by some to denote infinite ellipses, m—H·m defined by

the

**equation**au = 5x no (-) Of these there are several sorts: thus, is a y ELL ELL. Page

denominations, or the expression denoting this equality; which is done by setting

the one in o to the other, with the sign of equality ( = ) between them: thus, 3s. =

36d. or ...

**EQUATION**, in algebra, the mutual comparing two equal things of differentdenominations, or the expression denoting this equality; which is done by setting

the one in o to the other, with the sign of equality ( = ) between them: thus, 3s. =

36d. or ...

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But if, instead of the right line, some other line of a higher order be used, then the

second line, whose intersections with the former are to determine the roots of the

But if, instead of the right line, some other line of a higher order be used, then the

second line, whose intersections with the former are to determine the roots of the

**equation**, may be taken as many dimensions lower as the former is taken ... Page

And these coefficients may be made equal, because these will be n

determine n quantities, a, b, c, &c. If then the quantities, a, b, c, &c. be properly

assumed, the

x z ...

And these coefficients may be made equal, because these will be n

**equations**, todetermine n quantities, a, b, c, &c. If then the quantities, a, b, c, &c. be properly

assumed, the

**equation**zo-p 2n-1-H 7 zh-, &c. = 0, is the same with z – a X z – 5x z ...

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Having obtained one value of ar, the

and the other roots found. Cor. 2. The possible values of a and b being

discovered, the other roots are known without the solution of a quadratic. The

values of the ...

Having obtained one value of ar, the

**equation**may be depressed to a quadratic,and the other roots found. Cor. 2. The possible values of a and b being

discovered, the other roots are known without the solution of a quadratic. The

values of the ...

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