Subject: 3-d cartesian confusion
Date: Mon, 14 Jan 1997 16:17:14 -0800
From: Charles Pritzel

I am trying to determine where the 3 axes of a triangle lie on a 3-d graph. The triangle(s) are not necessarily right or isometric triangles (those are easier). I defined the x-axis as the line which intersects the first vertex of the triangle and the center of the triangle (all X's/3, Y's/3, Z's/3). I think I can take AB and reflect it across the center to create AE which would then create an isometric triangle ABE in which AE would then determine the orientation of the Y-axis (which I could then move to the center easily).

I'm not positive about the y-axis, and I'm completely lost on the z-axis. Everything I try leads me in some circular proof where everything is defined relative to everything else which! 3-d axes of triangles is of course only relative to the first thing... So I guess my questions are: 1- Am I right about the y-axis? 2- How do I (create some other right triangle which allows me to) determine the z-axis?

>:^)'
~ii

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