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    Re: BBC Puzzle for today
    From: Stan K
    Date: 2017 Dec 4, 20:33 -0500
    Please ignore the original message.  It was not fully thought out and was not ready to be sent, but was left on the screen when I went to dinner.  When I got back to the computer a few minutes ago, I found it was gone from the screen, replaced by a drawing my grandson, who showed up while I was eating, did in Paint.  How he managed to send it was just bad luck.

    I was at the point where I thought I needed to know the longitude where the length of the parallel was 10 miles.  That's where I got 5/180, from 10 miles/360º.  This would be at a latitude of about 89.97347495º (for a spherical Earth), or about 0.02652505º (about 1.591503') from the pole.  Son of a gun!  5/pi is 1.591549431!  How about that!

    Stan


    -----Original Message-----
    From: slk1000 <slk1000@aol.com>
    To: NavList <NavList@fer3.com>
    Cc: slk1000 <slk1000@aol.com>
    Sent: Mon, Dec 4, 2017 6:41 pm
    Subject: Re: [NavList] Re: BBC Puzzle for today

    Frank,

    Are you mixing degrees and radians with 10+5/pi?  Shouldn't the pi be 180?

    Yes, this is cute.

    Stan


    -----Original Message-----
    From: Frank Reed <NoReply_FrankReed@fer3.com>
    To: slk1000 <slk1000@aol.com>
    Sent: Mon, Dec 4, 2017 12:25 pm
    Subject: [NavList] Re: BBC Puzzle for today

    Andrew Nikitin, you wrote:
    "Let's say, Santa has a vacation property (which is not in the North pole, or even in the Arctic) with the same property: go 10 miles south, 10 east and 10 north, end up where you started. Where is it?"
    Hmm... I suppose Professor Claus could be at some location near the south pole. In fact, an infinite number of locations? If Santa starts at 10+5/pi miles from the south pole and then walks south for ten miles followed by east for ten miles, he ends up doing one perfect circular lap around the south pole. So when he walks north ten miles, he's right back where he started. And then it's obvious that I can replace 5/pi by 5/pi/N where N is any counting number, and Santa makes N laps around the pole before heading back to his starting point. 
    Fun! I have never heard this one before. Thank you for bringing it up. ...er... this is what you meant, right??
    Frank Reed
       
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