One definition is that it is the locus of a point such that the sum of its distances from two fixed points (the foci) is a constant.
There are several equivalent forms in coordinate geometry. Once the ellipse has been centred on the orign (using translations),
(x/a)2 + (y/b)2 = 1
or
x2 + (ey)2 = c2
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That's the definition of an ellipse.
Common term is an oval Mathematical is an ellipse
An Oval is not a shape that has a mathematical definition, because ovals can be different shapes and not necessarily symmetrical. An exception is the Ellipse which has a precise definition. An ellipse is a shape with two points called the focuses, and the sum of the distances from the two focuses is constant, and you would probably call it an oval. The ellipse has two axes at right angles, and they are called the major axis (a) which passes through the two focuses, and the minor axis (b) which passes through the center point between the focuses. The circumference of an ellipse is given by equation: C = 3.142 x [ 3(a + b) - Square root{(3a + b)(a + 3b)}]
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Property is not just a mathematical term. It means a characteristic or attribute.