For "equidistant point" please read "nearest equidistant point" as I just realised that with two points only there are an infinite number of "equidistant points"
> From: [email protected] > To: [email protected] > Date: Fri, 30 Oct 2009 09:21:11 +0000 > Subject: [Jchat] Point equidistant to 3 or more other points > > > Point equidistant to 3 or more other points > > Hi! > > > Not specifically related to J, a maths question really, but I will try to > code the solution in J! > > > If there are 2 points, (x1 y1) and (x2 y2), the equidistant point is at the > midpoint at location ((x1+x2)/2) ((y1+y2)/2) > > > eg if there are 2 points p and q at locations (1,2) and (3,0) the point > equidistant is at (2,1) - the midpoint m > > > y > > 4 | > > 3 | > > 2 |p > > 1 | m > > _ |__q_______ x > > 0 1 2 3 4 > > > Suppose there are more than 2 points? Is there a formula for working out the > point equidistant to the n points? > > > eg if there are 3 points p q r at locations (1,2) (3,0) and (3,2), the > point equidistant is still at (2,1), but I can't see a way of computing > this from the figures. > > > y > > 4 | > > 3 | > > 2 |p--r > > 1 | m > > _ |__q_______ x > > 0 1 2 3 4 NB hyphens are spaces-hotmail changes 2 spaces > to 1 > > > This is not a test question or homework crib - I am just interested in > mathematics! > > > The thought occured to me and I just cant see a solution for the > general case finding equidistant point of points (x1 y1) (x2 y2) (x3 y3) ... > (xn yn) > > ...and as for the 3D case (x1 y1 z1) (x2 y2 z2) (x3 y3 z3) ... > (xn yn zn)......!!!!!! > > > Thanks in advance! > > > > > > > _________________________________________________________________ > New Windows 7: Simplify what you do everyday. Find the right PC for you. > http://www.microsoft.com/uk/windows/buy/ > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm _________________________________________________________________ New Windows 7: Simplify what you do everyday. Find the right PC for you. http://www.microsoft.com/uk/windows/buy/ ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
