Consider two points on parabola y=x², (-a,a²) and (b,b²), where a and b are distinct real numbers.

If these two points are connected by a straight line, where does that line intersect the y-axis?

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Inspired by an interactive sculpture at the Museum of Mathematics, NYC.

(In reply to No Subject by JayDeeKay)

It's interesting to be the geometric mean of a^2 and b^2

Posted by chun on 2017-09-18 15:30:04