Re: Need help writing geology software using cirlces

*To*: mathgroup at smc.vnet.net*Subject*: [mg29132] Re: [mg29117] Need help writing geology software using cirlces*From*: "Sherman Reed" <sherman.reed at worldnet.att.net>*Date*: Wed, 30 May 2001 23:28:21 -0400 (EDT)*References*: <200105300950.FAA08323@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Pete, I assume all angles are measured in a counter-clockwise direction from the positive x axis. Take the average of the angles, then use Mod to find the value from 0 to 360 degrees. The attached note shows the results for the examples you provided. [Contact the author to get this - moderator] If you are going to use trigometric functions to plot points, etc., then determining the sign of the function is covered in the trig texts. Average or Mean is straightforward. I suspect this is not the complete answer, but it is a beginning. Sherman C. Reed sherman.reed at att.net ----- Original Message ----- From: "Peter Wilson" <peter at midar.com> To: mathgroup at smc.vnet.net Subject: [mg29132] [mg29117] Need help writing geology software using cirlces > I am currently writing a computer program that needs to calculate the > average angle, given numerous angles in a previous sequence. > > Examples: > 1) Given the angles, 0° and 45° the average is definitely 22.5° > > 2) Given 2 angles of 350 and 45, the average should be 17.5 degrees > (hmmm...Is that right?) > > 3) Given 0 and 180 the average can be considered either 90 or 270 > > 4) Given 0, 90, 180 and 270, the average may? be considered 0. In such cases > my program will cope fine. > > > ============= > Here's my question > ============= > Q. What formula can I use to find the average angle in a circle, from a > series of angles? > i.e.. 0,45,56,135,270,360,2,18... etc. > > Please note that I understand basic trigonometry, but that's about it. I'm > a computer programmer, not a mathematician. > > I would appreciate any help. My computer program is currently used in > Geology to track the course of a river, and to provide a predictive model of > the same river in previous and future years. It currently works, however > it's a bit rough and I'm currently looking for refinement algorithms. > > Cheers, > > Pete > > >

**References**:**Need help writing geology software using cirlces***From:*"Peter Wilson" <peter@midar.com>