Limiting point (geometry)
Okay, kiddo. Let me explain what a limiting point is in geometry.
Imagine you are standing in a big field full of trees. You start walking around in a circle, and as you keep walking, you start noticing that some trees are getting closer and closer to you. These trees become what we call "limiting points".
In geometry, a limiting point is a point that "approaches" another point or set of points, but never actually touches it. It's like if you were crawling towards a toy on the floor, but you never reach it, and you keep getting closer and closer.
For example, let's say we have a line that goes on forever in both directions. If we pick a point on that line and draw a circle around it, we'll see that there are points inside the circle that are also on the line. As we make the circle bigger and bigger, eventually we'll get to a point where the circle touches the line at only one point. This point is a limiting point, because it's not inside the circle, but it's as close as we can get to being inside the circle.
Does that make sense, kiddo?
Imagine you are standing in a big field full of trees. You start walking around in a circle, and as you keep walking, you start noticing that some trees are getting closer and closer to you. These trees become what we call "limiting points".
In geometry, a limiting point is a point that "approaches" another point or set of points, but never actually touches it. It's like if you were crawling towards a toy on the floor, but you never reach it, and you keep getting closer and closer.
For example, let's say we have a line that goes on forever in both directions. If we pick a point on that line and draw a circle around it, we'll see that there are points inside the circle that are also on the line. As we make the circle bigger and bigger, eventually we'll get to a point where the circle touches the line at only one point. This point is a limiting point, because it's not inside the circle, but it's as close as we can get to being inside the circle.
Does that make sense, kiddo?