Specifically, if you have an ellipse with a given width, height, and x, y coordinates—how can you determine the dimensions and position of the largest possible rectangle that can fit within it?
// eWidth, eHeight, eX, eY are provided values
const ellipse = draw.ellipse(eWidth, eHeight).move(eX, eY);
// rWidth, rHeight, rX, rY are to be determined
const rect = draw.rect(rWidth, rHeight).move(rX, rY);
Upon careful examination of the image, it became evident:
https://i.sstatic.net/txd1S.gif
This solution was found at
// eWidth, eHeight, eX, eY are known, arbitrary values
const ellipse = draw.ellipse(eWidth, eHeight).move(eX, eY);
// Each radius * Square root of 2
const rect = draw.rect((ellipse.width() / 2) * Math.SQRT2, (ellipse.height() / 2) * Math.SQRT2)
// Then move to the center of the ellipse
.cx(ellipse.cx()).cy(ellipse.cy());
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