Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 19, No. 2, pp. 221-225 (2003)

Calibration of an ellipse's algebraic equation and direct determination of its parameters

Mohamed Ali Said

Zagazig University, Egypt

Abstract: The coefficients of an ellipse's algebraic equation are not unique. Multiplying these coefficients by a number $\delta \neq 0$ does not affect the ellipse's shape. In this paper it is shown that at a certain $\delta $ , called calibration number, direct relations between the coefficients and the parameters of the ellipse are found. This value of $\delta $ is found and is shown to be invariant. Useful results concerning invariants of an ellipse's equation are found using calibration.

Keywords: Calibration, ellipse's parameters.

Classification (MSC2000): 51M04

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