ELI5: Explain Like I'm 5

Equipollence (geometry)

Equipollence in geometry is a big word that means two things are equal in a certain way. Imagine you have two toy cars, one red and one blue. If you push the red car with the same force as the blue one, they will go the same distance. That means they are equipollent in terms of distance.

In geometry, we use the word equipollence to talk about two line segments or vectors that have the same magnitude and direction. Magnitude means how long the line segment or vector is, and direction means where it is pointing to.

For example, if you draw a line segment from point A to point B, and then you draw another line segment from point C to point D, and they have the same length and point in the same direction, then they are equipollent. It's like having two toy cars that are the same size and move in the same direction.

Equipollence helps us compare and measure different lines and shapes in geometry. We can use it to calculate distances, angles, and other important properties of geometric figures.