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Author Topic: Need help with another puzzle (circumcentre)  (Read 2527 times)
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kiwi49er
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« on: May 12, 2009, 03:10 AM »

S 36 49.657 E 174 48.672
S 36 47.676 E 174 43.239
S 36 55.384 E 174 50.011

The point that has equal distance from three other points is the centre of a circle that goes through those three points. It is called the Circumcentre. This only works in Euclidean (planar) geometry (ie, spaces that are flat, not curved) and so the Latitude/Longitude coordinates need to be converted to grid coordinates (where distances are the same in any direction). Embarrassed


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Andrew
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« Reply #1 on: May 12, 2009, 06:53 AM »

Very unscientifically, would that be right off Mount Albert Rd, between Toroa Terrace and Kerr-Taylor Ave?
Or are you looking for the exact Lat/Lon?
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Spence
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« Reply #2 on: May 12, 2009, 07:13 AM »

Are you looking for the answer or the means of calculating the answer?
If you're looking for the answer should it be expressed as: S 36o 51.272 E 174o 46.434 (example) or as: Mt. Raupehu N.Z. (example) ?


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mikenchico
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« Reply #3 on: May 12, 2009, 01:14 PM »

Well you won't be able to turn a sphere into a plane for your equation with complete accuracy.

Unscientific again but I place you very close to the Mt Albert train station in Mt Albert, NZ @ S 36. 53' 7"   E 174. 42' 49". Quite a few eateries right nearby, Thia, Vietnamese, Chinese, BBQ & a Pizza Hut if you were looking for someplace to eat  Cheesy

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kiwi49er
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« Reply #4 on: May 12, 2009, 02:24 PM »

I am aiming for an exact Lat Lon.  But appreciate any help. Mt albert is the right ball park.

Apparently one way to work it out is to convert the co-ordinates to decimal and place them on graph paper
and work it out manually. Get my new point and convert back.

I can convert here.

Correct "S 36o 51.272 E 174o 46.434" for example.

Honestly some of the puzzle caches drive me bonkers.  Geometry and calculus are distant memories for me.

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Andrew
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« Reply #5 on: May 12, 2009, 08:08 PM »

Quote
kiwi49er
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mikenchico
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« Reply #6 on: May 12, 2009, 08:16 PM »

Looks like Google Earth Pro might have the ability to do what your wanting, it allows you to do measurements using polygons and circles. Not sure it would let you draw 3 radius's off your three points but by choosing 3 identicle radiuses slightly larger then needed where they intersected would be your point. There is an equation to do it for a sphere like you referenced for a plane, keep researching it. Find a University mathmatics geek forum maybe? Call a local University Professor (bad time with finals and all though) I'll bet the equation will come in handy in the future again.

Check here http://mathforum.org/

« Last Edit: May 12, 2009, 08:35 PM by mikenchico » Logged

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kitehead
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« Reply #7 on: May 12, 2009, 09:49 PM »

Puzzle caches are usually created by sadistic grad students.  Huh

I like multi stage caches, but puzzles make my brain hurt.
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kiwi49er
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« Reply #8 on: May 13, 2009, 01:13 AM »

Puzzle caches are usually created by sadistic grad students.  Huh

I like multi stage caches, but puzzles make my brain hurt.

Did an old 5 stage multi where you had to project all the waypoints just this weekend.  GPS wasn't as accurate when it was made.  Spent a blissful 4 1/2 hours in the rain, jumping creeks and scrambling up tracks.  I couldn't have been happier. Tongue

I allready graduated to a pocket PC & cachemate to store all the data. I'm also using GSAK to manage the database. Roll Eyes Cheesy

The Mt Albert and Avondale areas of Auckland have a couple guys just one uping with the puzzles.  It's saturated with them.  Shocked
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Andrew
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