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Title: Map question Post by: RED-DOG on May 22, 2012, 03:44:42 PM Imagine three random locations, say Northampton, Daventry and Rugby.
How do I find the point that is equidistant from all three by road? Title: Re: Map question Post by: doubleup on May 22, 2012, 03:51:41 PM Don't think there is any way other than guessing and then using eg directions from google maps to check. Is the precise information worth any more than a guess? Title: Re: Map question Post by: AndrewT on May 22, 2012, 03:56:15 PM If it's by road, then there probably isn't a place which is equidistant from the three.
Title: Re: Map question Post by: RED-DOG on May 22, 2012, 04:00:14 PM Don't think there is any way other than guessing and then using eg directions from google maps to check. Is the precise information worth any more than a guess? Yes. Otherwise I'll be using the same method for cycling that I use for playing poker ::) I just thought there might be a formula / programme for working it out. Title: Re: Map question Post by: RED-DOG on May 22, 2012, 04:01:57 PM If it's by road, then there probably isn't a place which is equidistant from the three. Well as near as possible. Title: Re: Map question Post by: bobAlike on May 22, 2012, 04:16:00 PM Not that I'm a mathematician but surely if you connect the 3 locations and form a triangle (scalene, probably) there should a way of working out a central location close enough. BTW I havent a clue on the formula.
Title: Re: Map question Post by: RED-DOG on May 22, 2012, 04:22:49 PM Not that I'm a mathematician but surely if you connect the 3 locations and form a triangle (scalene, probably) there should a way of working out a central location close enough. BTW I havent a clue on the formula. If I could fix the end of a tape measure to each start point and then roam around until I had the same reading on each.... Title: Re: Map question Post by: RED-DOG on May 22, 2012, 04:28:41 PM Not that I'm a mathematician but surely if you connect the 3 locations and form a triangle (scalene, probably) there should a way of working out a central location close enough. BTW I havent a clue on the formula. If I could fix the end of a tape measure to each start point and then roam around until I had the same reading on each.... Nope. Thinking about it that would only work as the crow flies. Title: Re: Map question Post by: gatso on May 22, 2012, 04:35:31 PM if you just want it as the crow flies you find the circle that passes through all 3 points and your centre point is the centre of that circle. because of the shape of your northampton, daventry, rugby triangle it'll be outside of the triangle, just east of west haddon by the looks of it. can't imagine the location's going to be much different doing it by road
Title: Re: Map question Post by: RED-DOG on May 22, 2012, 04:44:27 PM if you just want it as the crow flies you find the circle that passes through all 3 points and your centre point is the centre of that circle. because of the shape of your northampton, daventry, rugby triangle it'll be outside of the triangle, just east of west haddon by the looks of it. can't imagine the location's going to be much different doing it by road So I need to somehow find exactly the right size circle and superimpose it over the locations? Title: Re: Map question Post by: RED-DOG on May 22, 2012, 04:49:04 PM Interesting.
The point can be further away than halfway between any of the places.. Title: Re: Map question Post by: gatso on May 22, 2012, 04:56:45 PM if you just want it as the crow flies you find the circle that passes through all 3 points and your centre point is the centre of that circle. because of the shape of your northampton, daventry, rugby triangle it'll be outside of the triangle, just east of west haddon by the looks of it. can't imagine the location's going to be much different doing it by road So I need to somehow find exactly the right size circle and superimpose it over the locations? yep, that's pretty much it there are ways of working it out http://en.wikipedia.org/wiki/Circumcentre#Circumscribed_circles_of_triangles but trial and error will probably be quicker than an A-level maths course Title: Re: Map question Post by: DMorgan on May 22, 2012, 07:08:30 PM Square of the hypotenuse is equal to the sum of the squares of the remaining sides
EZ game Title: Re: Map question Post by: RED-DOG on May 22, 2012, 07:10:38 PM Square of the hypotenuse is equal to the sum of the squares of the remaining sides EZ game Are you the very model of a modern Major General? Title: Re: Map question Post by: DMorgan on May 22, 2012, 07:11:32 PM Out of curiosity Tom, whats the problem you're trying to solve by finding this out?
Can only think of trying to find a good location for a warehouse from three suppliers? #detective Title: Re: Map question Post by: DMorgan on May 22, 2012, 07:12:26 PM Square of the hypotenuse is equal to the sum of the squares of the remaining sides EZ game Are you the very model of a modern Major General? hehe, not quite. My dad was in the air force though if that counts? Title: Re: Map question Post by: doubleup on May 22, 2012, 07:23:44 PM Cold Ashby ftw imo Title: Re: Map question Post by: RED-DOG on May 22, 2012, 07:27:45 PM Out of curiosity Tom, whats the problem you're trying to solve by finding this out? Can only think of trying to find a good location for a warehouse from three suppliers? #detective OK. I'm in training for a mega bike ride. Two others, who live 5 miles and 20 miles away from me are also in training for said ride. It would be nice if we could find a point that is the same distance away for all of us so that we could ride there when we meet up to start out training rides. That way, we would have all covered the same distance. The trouble is, we are all more or less in a line, with one of them 5 miles away from me in one direction, and one 20 miles away in the other. Title: Re: Map question Post by: rex008 on May 22, 2012, 07:29:23 PM If you actually want road miles, rather than as the crow flies, might be easier to use a navigation tool.
For instance, assume this goliath link works: http://maps.google.co.uk/maps?saddr=daventry&daddr=A428+to:Northampton+to:A428+to:rugby&hl=en&sll=52.30016,-1.08384&sspn=0.173209,0.528374&geocode=FcFiHQMdbTnu_ymR8xCs-BN3SDG1Oihf-1D9kQ%3BFSR0HgMd6Ozv_w%3BFV0gHQMdADry_ylzokpuIwR3SDEJYujZ0JX0zQ%3BFWV2HgMdW-vv_w%3BFb4dHwMdeLLs_ynpV4zAXxV3SDHDQZ7K2_u8AQ&t=h&dirflg=h&mra=dme&mrsp=1&sz=12&z=12 Drag B & D together, until the miles at the bottom of each subsection are about equal. Title: Re: Map question Post by: RED-DOG on May 22, 2012, 07:32:43 PM It's just occurred to me how to do it.
I am a genius btw. (Christ, I hope I've spelled genius right). Title: Re: Map question Post by: Laxie on May 22, 2012, 07:37:41 PM Are we there yet?
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