Q: What is a intersection in geometry?

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In analytical geometry, you equate the equations of the two planes and simplify.

If they do intersect, it will be at their point of intersection.

In Euclidian geometry it's a point. In non-Euclidean geometry all bets are off.

Not possible, the point would be part of the line. * * * * * So, the intersection is that point. Think in terms of sets rather than geometry.

They are angles formed when two straight lines intersect: they are on opposite sides of the point of intersection.

Related questions

In analytical geometry, you equate the equations of the two planes and simplify.

m, r & y

If they do intersect, it will be at their point of intersection.

orthocenter (geometry)

point of concurrency

Finding the point of intersection using graphs or geometry is the same as finding the algebraic solutions to the corresponding simultaneous equations.

In Euclidian geometry it's a point. In non-Euclidean geometry all bets are off.

Not possible, the point would be part of the line. * * * * * So, the intersection is that point. Think in terms of sets rather than geometry.

edges are the intersection of faces in a three dimentional figure: a cube has 12 edges

It is normally where two line meet when they cross over each other.

if two lines intersect then their intersection is exacrtly one point

A line in Riemann's spherical geometry is called a great circle, which is the intersection of a sphere with a plane passing through its center. Great circles are the equivalent of straight lines in this non-Euclidean geometry.