**
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

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2003 ELibM and
FIZ Karlsruhe / Zentralblatt MATH
for the EMIS Electronic Edition
*