• Advertisement
Sign in to follow this  

Center of Triangel - Incentre Proof?

This topic is 4347 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Recommended Posts

Hi there, I was just wondering how to obtain the solution for the center point of a triangle. I can work out the radius for the incenter triangle and I've got one or two books with the solution in, but am having problems working it out step by step. This is the example I'm using: http://www.terra.es/personal/rgonzal1/incentre.htm If you look at that example, I'm okay upto where it gets: ku - mv = Q - P = PQ. But then how he gets the coefficient value of k! If someone could just expand on this it would be great :) Thanks, Ben

Share this post


Link to post
Share on other sites
Advertisement
If you do:

c = (p0 + p1 + p2) / 3


This is called the cetner of gravity of the triangle, not the incenter.

There are different methods for triangle centers:
Incenter,
Circumcenter,
Centrolid, etc

Wanted to know the proof of the equation for the incenter equation. Which is:

C = |p2-p3|p1 + |p3-p1|p2 + |p1-p2|p3 / Perimeter{p1p2p3}

Thanks,

Ben

Share this post


Link to post
Share on other sites
It looks like he is leaving steps out. He is showing steps for the vertex P up to that point. If you do similar steps for the other two vertices you will have three equations, and three unknowns. You should then be able to solve for any/all of the constants.

Share this post


Link to post
Share on other sites
Ben,

Your problem appears to be academic in nature, rather than purely related to game development. Note that this is primarily a game development forum, rather than a general-purpose math forum. It is possible that I've misinterpreted your post, but you haven't given enough information for me to judge otherwise.

Since you've just registered yesterday, please take a look at the Forum FAQ for this forum, which explains the forum policy on academic (schoolwork/homework/etc.) type topics.

Since it looks like you're asking for a proof, but haven't really made any comment as to how this is an on-topic (game development) post, and haven't shown us your own personal progress in detail, I'm going to close the thread.

Share this post


Link to post
Share on other sites

This topic is 4347 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Guest
This topic is now closed to further replies.
Sign in to follow this  

  • Advertisement