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" ... cafe, it muft have been greater than each of an odd number of the pofitive roots. An odd number of the pofitive roots, therefore, muft lie between them when they give refults with oppofite figns. The fame obfervation is to be extended to the fubftitution... "
Elements of Algebra for the Use of Students in Universities: To which is ... - Page 207
by William Trail - 1796 - 311 pages
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The new encyclopædia; or, Universal dictionary ofarts and sciences, Volume 1

Encyclopaedia Perthensis - 1807 - 758 pages
...therefore, muft lie between them when they give refults with oppofite figns. The fame obfervation ia to be extended to the fubftitution of negative quantities...will not be difficult to find the neareft integer in a root of a given numeral equation. Let the equation be x1 — ir — 5 = o. 1. In this cafe a root...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 1

Encyclopedias and dictionaries - 1816 - 756 pages
...of the pofitive roots, therefore, muft lie between them when they give refults with oppofite ligns. The fame obfervation is to be extended to the fubftitution...will not be difficult to find the neareft integer in a root of a given numeral equation. Let the equation be x3 — ix — 5=0. I. In this caie a root...
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