## ACOPS_Recreation_1.3.3 At the same point!

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rakeen
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### ACOPS_Recreation_1.3.3 At the same point!

You leave your house, travel one mile due south, then one mile due east, then
one mile due north. You are now back at your house! Where do you live? There is
more than one solution; find as many as possible.

I firstly thought that the house is 1mile long! But that's stupid. Then I thought that if the earth is small (the radius = 1/2π mile) then it is possible. But that's also stupid. And now I'm just stuck
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nafistiham
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### Re: ACOPS_Recreation_1.3.3 At the same point!

What about the $NORTH$ $POLE$
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
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rakeen
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### Re: ACOPS_Recreation_1.3.3 At the same point!

?? din't got that
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tanvirab
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### Re: ACOPS_Recreation_1.3.3 At the same point!

nafistiham
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### Re: ACOPS_Recreation_1.3.3 At the same point!

north pole এজন্যই, কেননা সকল দ্রাঘিমারেখা এ বিন্দুতে মিলিত হয়।
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.

tanvirab
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### Re: ACOPS_Recreation_1.3.3 At the same point!

tanvirab wrote:Look at this : http://en.wikipedia.org/wiki/Order_theory
Oops! posted in the wrong thread

nafistiham
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### Re: ACOPS_Recreation_1.3.3 At the same point!

আমি অনেকক্ষণ চিন্তা করছি যে এই লিঙ্কের কারন কি । বুঝতে না পেরে খুব কষ্ট হচ্ছিল ।
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.

rakeen
Posts: 384
Joined: Thu Dec 09, 2010 5:21 pm
Location: Dhaka

### Re: ACOPS_Recreation_1.3.3 At the same point!

I've been reading some set theory to understand order-theory!
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ataher.sams
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### Re: ACOPS_Recreation_1.3.3 At the same point!

Can be SOUTH POLE too.....
Ataher Sams

nafistiham
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### Re: ACOPS_Recreation_1.3.3 At the same point!

but, notice that the condition is to go to south first.as for south pole, there is no such direction.any way direction you proceed it is NORTH.
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.