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*From*: Craig Lucanus <lucanus@IINET.NET.AU>*Date*: Thu, 12 Aug 2004 21:32:16 +0800

Whoops, I meant 'inclination' and not 'declination'.

How do you get back to point A from any of Herb's infinite number of points

by travelling anything other than eastward or westward for a mile? And would

Bruce describe one of his points that fitsthe requirement?

If you started a mile from the south pole and walked a mile south, there

would be no such thing as east when you arrived.

Yours sincerely

Craig Lucanus

----- Original Message -----

From: "Herb Schulz" <herbs@WIDEOPENWEST.COM>

To: <PHYS-L@LISTS.NAU.EDU>

Sent: Thursday, August 12, 2004 9:04 PM

Subject: Re: navigation riddle

On 8/12/04 6:03 AM, "John Denker" <jsd@AV8N.COM> wrote:mile,

Since phys-l has been somewhat listless lately, here

is a riddle:

Dr. Livingstone starts out at a place which we call

Point A. He then undertakes a journey consisting

of three legs:

-- he travels precisely southward for one mile;

-- then he turns and travels precisely eastward

for one mile;

-- then he turns and travels precisely northward

for one mile.

He discovers that as a result of this journey, he

has returned to Point A.

Note: He travels by airship, at an appropriate constant

altitude, so you don't need to worry about obstructions

or other nonidealities.

The questions are:

1) Where is Point A?

2) Are you sure? How do you know?

===========

Usual ground-rules: The right answer depends on

understanding the physics of the situation. This may

require some outside-the-box thinking. Everything

I've said is intended to be true and helpful. I expect

a strong consensus as to the correctness of the answer.

Howdy,

Besides the North Pole there are an infinite number of points along a

Latitude that is 1 mile North of the Latitude whose circumference is 1

or 1/2 mile, or ... 1/n mile (n = non-zero positive integer).

Good Luck,

Herb Schulz

(herbs@wideopenwest.com)

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