#geometry definition

• Adjacent — Located in the immediate vicinity, directly neighboring, or attached to something; in geometry, it describes angles that share a common vertex and a common side, lying on opposite sides of that common side. In a general sense, it refers to administrative, structural, or territorial elements that share a common border or are directly connected in a network.
• Elongated — Having a shape extended in one of its dimensions, presenting a length considerably greater in relation to its width; an object, structure, or organism that has been stretched out in space or distanced in time. In a biological and morphological sense, it describes an organ, a leaf, or an anatomical conformation whose midline is significantly developed, giving it a fusiform, elliptical, or linear appearance.
• Elongated — Having been made longer or having stretched in space or time; presenting a profile extended on the longitudinal axis, exceeding standard width proportions. In a biological and medical sense, it describes a cell, a tissue, or an organ whose anatomical structure is significantly elliptical or linear. In a social context, it refers to someone or something that has been removed, expelled, or driven away.
• Antiparallel line — A straight line that intersects the sides of a given angle in such a way that it forms with them an inverted triangle relative to the symmetry of a classic parallel line. This structural arrangement causes the angle formed by the antiparallel with one side to be perfectly equal to the angle formed by the base line with the other side, having important applications in the study of the antiparallel lines theorem in a triangle.
• Antiparallelogram — A convex or self-intersecting quadrilateral in which the opposite sides are equal in pairs, but, unlike a classic parallelogram, one pair of opposite sides intersects, creating a perfect axial symmetry. This structural arrangement provides the geometric figure with remarkable optical and mechanical properties, being frequently used in the design of linkage mechanisms where circular motion must be transformed into rectilinear motion.
• Antipode — A place, geographical point, or region on the Earth's surface located exactly at the intersection of a straight line passing through the center of the Earth, being diametrically opposite to another reference point; also, in a figurative sense, it describes a person, idea, trait, or concept that is in total, radical, and structural opposition to something else.
• Arcare — The act of arching and its result; a physical, geometric, or structural process through which an object, line, surface, or construction element is bent, curved, or shaped into the form of an arch. In civil engineering and architecture, it represents the curved configuration of load-bearing structures to optimally distribute gravitational loads.
• Arches — The plural form of the neuter noun 'arc'; curved structural or decorative elements supported by two endpoints, used in architecture to span a space or support a vault or wall. In geometry, it represents continuous portions of curved lines, especially of circles, bounded by two distinct points. In music and engineering, it refers to springs acting as elastic mechanisms or bows used for stringed instruments.
• Arcos — A scientific term or combining form derived from the Greek 'arkos' or Latin 'arcus' (arc, curve), rarely used in structural technical terminology to describe objects, geological formations, or mathematical curves that exhibit an arched or vaulted geometry. It can also make a historical reference to famous commercial companies or international administrative acronyms (such as the Soviet trading company ARCOS in the 1920s).
• Arched — Having undergone the process of arching; an object, structural element, or geometric profile brought into the shape of an arc, curved or bent with microscopic precision. In a functional sense, it describes the final state of a structurally tensioned elastic body (such as a bow ready for shooting) or the curved outer appearance of architectural components used to embellish monumental building facades.
• Area — A geometric or metric magnitude expressing the extent of a two-dimensional surface structurally bounded within a plane or a topological manifold. In a technical and mathematical sense, the term is a modern loanword often used as a direct scientific equivalent for surface or area, serving as a fundamental parameter in calculus, architecture, cadastre, and three-dimensional shape modeling.