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last activity : 01 11 2011 04:56:20 +0000
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Points within enclosed space.
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Hi, I am jai, a new member in this forum. I have a very simple question and I would be very happy if you could solve my problem for me. The question is in coordinate geometry and enclosed spaces. Say I have a triangle which is created by three lines intersecting with each other. I want to know if there is a definite algorithm to determine if any given point lies within the triangle or touches it on the sides. Or more generally, for any enclosed figure is it possible to determine if any given point lies inside or touches the space enclosed by the figure. I would be very grateful for any assistance. I am aware I am asking a very general question in Math. Mainly I have forgotten my grade school math and I am searching the net for an answer. Thanks and warm regards, Jai |
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I am simplifying things a little bit. Let us look at the 1st quadrant in the coordinate system. Is there any way to find innumerable triangles in the first quadrant with the vertex points (x1, y1), (x2, y2), (x3, y3) such that x1, x2 and x3 are never less than 1 and similarly y1, y2 and y3 are also never less than 1. I am thinking of the triangles as a system of intersecting lines. Take three lines and you get 3 intersecting points and then you get a triangle by joining these points. Let me know of some way to come up with an algorithm for generating 50 such triangles which would satisfy my condition.
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I am simplifying things a little bit. Let us look at the 1st quadrant in the coordinate system. Is there any way to find innumerable triangles in the first quadrant with the vertex points (x1, y1), (x2, y2), (x3, y3) such that x1, x2 and x3 are never... |
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