középvonalak

Középvonalak refers to median lines in geometry. A median line in a triangle is a line segment joining a vertex to the midpoint of the opposite side. Every triangle has three median lines, and they all intersect at a single point called the centroid. This point divides each median line in a 2:1 ratio, with the longer segment being closer to the vertex. The centroid is also the center of mass of a uniform triangular lamina.

In the context of quadrilaterals, a median line is a line segment connecting the midpoints of two opposite sides. A quadrilateral has two such median lines. These median lines intersect at a point which is the midpoint of the segment joining the midpoints of the diagonals. The length of a median line in a convex quadrilateral is related to the lengths of its sides by the parallelogram law.

The concept of median lines can be extended to higher dimensions and other geometric figures. In essence, a median line represents a bisecting connection within a geometric shape.