Ok...well, here goes:(adsbygoogle = window.adsbygoogle || []).push({});

Let's say we draw a slope-field for

[tex] \frac{{dy}}{{dx}} = \frac{x}{{k - y + \sqrt {x^2 + \left( {k - y} \right)^2 } }} [/tex]

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Now, let's say a ray of light traveling in the direction [tex] \left\langle {0, - 1} \right\rangle [/tex] "hits" one of the slope segments we drew. However, each "slope segment" is a actually a short planar mirror!!

And so,

*Regardless of which segment this light ray strikes, will the light ray be reflected through the point [tex] (0,k) [/tex]?

(assuming this ray strikes one and only one "mirror"/slope-segment)

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# This might sound really stupid (!)

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