User talk:GoldenBoar

The distance between a specific line and the first line is:


 * $$x = \frac{lb}{a}$$

The height of a specific line is:


 * $$y = \frac{2h\sqrt{ab-b^2}}{a}$$

The area of the ellipse is:


 * $$C = \sum_{b=0}^{a-1} $$ — Preceding unsigned comment added by 82.42.152.246 (talk) 13:10, 10 February 2017 (UTC)

The circumference of the ellipse is:


 * $$C = 2\sum_{b=0}^{a-1}{\sqrt{\left(\frac{l}{a}\right)^2+\left(\frac{h}{a}\left(\sqrt{a(b+1)-(b+1)^2}-\sqrt{ab-b^2}\right)\right)^2}}$$

l is the length of the ellipse.

h is the height of the ellipse.

$$a$$ is the number of points equally distributed along l.

b is a specific point along l.

x is the distance between the start of the ellipse and point b.

y is the perpendicular expansion of b, centred on l (the height of a line going through the x axis at 90 degrees).

A is the area of the ellipse.

C is the circumference of the ellipse.

February 2011
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