2006-10-03 15:40:36 · 8 answers · asked by Roger B 1 in Science & Mathematics ➔ Mathematics
this is known as Euler theorem and if my memory serves me well these 3 points of the triangle are
centers of the inscribed and circumscribed circles and center of gravity(mediums intersection)
2006-10-03 15:49:17 · answer #1 · answered by oracle 5 · 0⤊ 0⤋
there will be an infinite collection of 3-point-sets that are colinear on any given triangle.
1. any three points on a side are colinear.
2. If you mean by "on the triange" to include the space withing the sides as well then any vertice, the midpoint of the opposite side and the center of the in/outscribing circle (i can't remember which is which) will be colinear.
3. Or you can take vertice points and relate it to the center of gravity etc.
hope you get the idea.
2006-10-04 05:11:38 · answer #2 · answered by blind_chameleon 5 · 0⤊ 0⤋
If you have a triangle, it's impossible for all 3 points to be collinear...Duh...? >__< I hate math, but I know what I'm talking about.
2006-10-03 22:42:46 · answer #3 · answered by _TwIsT_ 1 · 0⤊ 0⤋
3 that are on the same side of a triangle
2006-10-03 22:42:42 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Two verticies on the same segment and any other point on the segment.
2006-10-03 23:03:28 · answer #5 · answered by bruinfan 7 · 0⤊ 0⤋
Any two adjacent vertices and their midpoint.
2006-10-03 22:42:47 · answer #6 · answered by عبد الله (ドラゴン) 5 · 0⤊ 0⤋
colinear means "all on the same line"
2006-10-03 22:43:30 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Abdullah's right.
2006-10-03 22:49:02 · answer #8 · answered by Anonymous · 0⤊ 0⤋