Intersection (mathematics)

In the Set theory, the intersection of two Ensemble S has and B is the unit which contains all the elements which belong at the same time to has and with B , and only these.

The intersection of has and B is noted has ∩ B .

In Boolean Algebra, the intersection is associated with the logical Operator et.

Geometry

In Geometry:

  • the intersection of a right and a plan not parallels is a not;
  • the intersection of two plans not parallels is a right .
In analytical Geometry, the system of equation of the intersection of two objects is the meeting of the equations of each object.

Intersection of two lines

In the plan

In the plan, the right intersection of two S, neither parallel nor being confused, is a not. d \ course of = \ {has \}

If the two lines are strictly parallel, there is no point of intersection. d \ course of = \ empty

If the two lines are confused, the intersection is a line. d \ course of = D = d'

In space

In space, if two lines are coplanar, one finds the same possibilities as in the plan. If two lines are not-coplanar, then they do not have any intersection. d \ course of = \ empty

Fiu-vro: Ütine dared Zh-classical: 交集

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