Fundamental theorem of projective geometry

Projective geometry is a type of math that helps us understand how shapes look when things get squished or stretched. Like if you hold a square up close to your face, it looks like a square. But if you hold it far away, it might look like a rectangle or even a line.

The fundamental theorem of projective geometry says that if you have two shapes that are the same except for one point, then you can draw a line that goes through that point, and the two shapes will intersect that line in the same way.

It's like if you have two circles that are exactly the same except for one little spot where they touch a line. You can draw a line that goes through that spot and the two circles will touch the line in the same way.

This helps us understand how shapes can change when we look at them from different angles or distances. And it helps us solve problems in areas like architecture, engineering, and computer graphics.