Apian’s Problem

If I trust my reliable sources, the following problem is due to Phillip Apian: Determine the point on a line g that sees a given line segment s at the maximal angle.

The sketch vaguely indicates a geometric solution. How about an analytic solution, and how about rational geometry?

Apian posed that problem in more poetic form: How far do you have to stand away from the house to see most of your beloved on a balcony? That is a special case with s orthogonal to g.

Ein Gedanke zu „Apian’s Problem

  1. Canadian Money

    Off Topic…I stuck my neck out once again and made another important stock market forecast. I expect you still have an interest in such things.

    Looks like the 10 month rally off the March 2009 lows may have finished. I’m expecting this new longer term downtrend to take the markets below the March lows.

    Now… if the market is indeed just a random phenomenon then this forecast should be an error. Time will tell.



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