Kruishoek

Kruishoek is a Dutch geometric term that translates to cross angle, referring to the angle formed where two lines or curves intersect. In most contexts, kruishoek denotes one of the four angles created at the intersection, with the opposing angles being equal.

Mathematically, when two straight lines cross, they form four angles around the intersection point. The two pairs of opposite angles are congruent, and any pair of adjacent angles sums to 180 degrees (supplementary). An acute kruishoek is less than 90 degrees; an obtuse kruishoek is greater than 90 degrees; a right kruishoek is exactly 90 degrees.

Beyond pure geometry, the concept appears in surveying, architecture, and road planning to describe the orientation at junctions or intersections. Measuring kruishoek helps determine alignment of joints, roads, or building elements, and it is fundamental when converting between different coordinate or bearing systems.

Terminology and usage vary; kruishoek is primarily used in Dutch-language texts. In English, the equivalent term is usually “angle of intersection” or “angle between lines.”