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Midpoint Ellipse

Result

(data not available)

Visual representation

(drawn with eccentricity 0.707 and semimajor axis length 1)

Equation

(x - x_0)^2/a^2 + (y - y_0)^2/b^2 = 1
(assuming center (x_0, y_0), semimajor axis length a, and semiminor axis length b)

Properties

foci | (sqrt(a^2 - b^2) + x_0, y_0) | (x_0 - sqrt(a^2 - b^2), y_0)
vertices | (a + x_0, y_0) | (x_0 - a, y_0)
covertices | (x_0, b + y_0) | (x_0, y_0 - b)
area enclosed | π a b
circumference | 4 a E(1 - b^2/a^2)
focal parameter | b^2/sqrt(a^2 - b^2)
eccentricity | sqrt(1 - b^2/a^2)
(assuming center (x_0, y_0), semimajor axis length a, and semiminor axis length b)

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