Simple statement help needed

Although I don't know how to explain in simple terms.

I have a table that has these columns and more:

lineID | lineName | interestOne | interstTwo | interestThree
(where interestOne, Two and Three contain lineID's of other rows)

So a table might look like this:
ID Name One Two Three
1 Tom 2 3 10
2 Fred 1 5 6
3 Bob 2 7 11

I am opening a page that passes in the URL the ID of let's say #1 Tom.
I want to display the One, Two and Three that are associated with Tom. So in the example above (2, 3, 10 respectively).

Now I can do this just fine with displaying:
One=2, Two=3, Three=10
however, I want to display the Names that belong to the ID's. I am having a brain fart and am struggling with this.

So for Tom I want it to show:
One=Fred, Two=Bob and Three=(name for ID 10)

Hopefully this makes sense. If I used separate tables I'd be able to JOIN these all day long. I'm having a tip of your tongue moment with this all in one table.
Thanks in advance!
Jared

SELECT * FROM Interests INNER JOIN Interests AS I2 ON I2.lineID = Interests.interestOne INNER JOIN Interests AS I3 ON I3.lineID = Interests.interestTwo INNER JOIN Interests AS I4 ON I4.lineID = Interests.interestThree

The key is to use the AS statement so you can treat the same table as separate tables.

Thanks for your reply Ray.

I recall now that this is similar to, or is, a self join. I used this several years ago on a project and recall doing it but not how. I got the concept but still cannot seem to get it to work.

The code you gave me throws errors and when I fixed it did not give me what I need so I'll try to explain again and simplify.

My table is named:
figure_lines

It has these three columns:
Line_Id, Line_Name, Interest1
(Column Interest1 contains the Line_Id of another row)

I want to display the Line_Name of the selected Line_Id AND the Line_Name of Interest1
So this data:
Line_Id | Line_Name | Interest1
1 | John | 2
2 | Bob | 1

Displays as this:
John Bob
Bob John

I know that I need to create an alias for another table to join and possibly another alias for either the second Line_Name or Interest1 but I am failing and just becoming confused. I'm sure if I can see this done correctly and it works I'll have an ah-ha moment and will write it done for the future. So far it's ah-crap.

Appreciate your time and patience once again.

using your simplified sample data:

table name: figure_lines
Line_Id | Line_Name | Interest1
1 | John | 2
2 | Bob | 1

I was able to get the desired result using the following query:

SELECT figure_lines.line_name, I2.line_name
FROM figure_lines
INNER JOIN figure_lines AS I2 ON I2.line_id = figure_lines.interest1

Yes, that's it. And it makes sense to me which is equally important.

I was having a hard time determining what to use from the alias table and in the join and even drawing diagrams wasn't helpful.

But now that I have a working model and see the relationships I understand it and feel somewhat embarrassed.

Thanks again!