piirdejooned

Piirdejooned, literally “boundary lines” in Estonian, are lines that mark the limits of a region, a shape, or a parcel of land. They occur across disciplines where precise delineation is important for analysis, governance, and rights. The concept can be abstract in mathematics and concrete in geography, surveying, and law.

In mathematics, a piirdejoon is a line that bounds a region. In two-dimensional geometry, lines of the form ax + by = c define the edges of half-planes, and several such lines enclose polygons. Boundaries help describe feasible regions in optimization problems and graph inequalities, where the position of a line determines which points belong to a given set.

In geography and cartography, piirdejooned delineate borders between administrative units, nations, or natural regions. They may be straight or curved and are often represented on maps with legal or political significance. Changes to such boundaries can occur through treaties, legal judgments, or natural processes that redefine lines of contact.

In surveying and land administration, boundary lines demarcate property limits. They are typically established through field measurements, monuments, and coordinate descriptions in cadastral records. Accurate piirdejooned are essential for property rights, taxation, and land development, and disputes are resolved by professional surveys and legal processes.

Measurement and reference systems affect how piirdejooned are defined and maintained. Geodetic datums and coordinate systems provide the framework for describing lines on maps, while natural changes (coastlines, rivers) can influence boundary interpretation over time.

Examples include the line x = 0 as a boundary in a graph, the border between countries on a map, and a surveyed property line marked by corner monuments.

See also: boundary, border, cadastral map, polygon.