#geometry

• abscissa — (Mathematics) The first coordinate of a point in a plane or spatial Cartesian coordinate system, representing the distance measured from the vertical axis (ordinate) along the horizontal axis (Ox axis).
• Actiniform — Having the shape of a ray or a star; characterized by a radial or divergent geometric structure. In zoology and botany, the term describes organisms or organs whose anatomical elements, such as the tentacles of sea anemones or the petals of certain flowers, are arranged symmetrically around a central axis. In mineralogy, it is used to define aggregates of acicular crystals that extend divergently from a common point.
• Acute — Manifesting intensely, suddenly, and for a short duration, being the opposite of chronic conditions (in medicine); a high-pitched, thin, or sharp sound (in music and phonetics); also, describes an angle smaller than 90 degrees (in geometry). Figuratively, the term expresses a piercing sensation, a pressing crisis, or an extremely fine and sharp sensitivity of the senses.
• Depth — The dimension of an object, cavity, or space measured vertically from top to bottom, from a reference surface to the floor or base; a considerable distance from the outer edge toward the interior of a medium. Figuratively, the term defines the intensity, depth, or thoroughness of a feeling, philosophical thought, or scientific analysis.
• Adjacent — Lying near, close, or contiguous; adjoining, neighboring, or situated immediately next to something; in geometry, it describes a structural element that shares a common boundary with another (such as adjacent angles, which have a common vertex and a common side, or adjacent sides of a polygon). This term is essential for defining spatial proximity and topological relationships.
• Adjacency — The state or property of two geometric elements, mathematical structures, or spatial entities of being adjacent, meaning neighboring, contiguous, or directly connected by a common boundary or edge. In graph theory within computer science, this structural phenomenon designates the direct link between two nodes joined by a single edge, serving as the computational basis for network traversal and storage algorithms.
• 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.
• Aerial photogrammetry — A branch of photogrammetry dealing with determining the shape, dimensions, and position of objects on the Earth's surface, as well as with compiling topographical maps and plans based on measurements executed on aerial photograms. This technical discipline combines elements of optics, aviation, and computational mathematics.
• Aerial photogrammetry — A branch of photogrammetry dealing with determining the shape, dimensions, and position of objects on the Earth's surface, as well as with compiling topographical maps and plans based on measurements executed on aerial photograms. This technical discipline combines elements of optics, aviation, and computational mathematics.
• Affix — 1. A bound morpheme (prefix, suffix, infix, or interfix) attached to a root or stem to form a new word or grammatical variant. 2. In mathematics, a complex number associated with a point in a Cartesian plane, representing its coordinates. 3. As an adjective, something structurally fixed.
• Algebraization — The act of algebraizing and its result; the process of transposing, reformulating, or expressing concepts, problems, or scientific branches within the language, structures, and equations of algebra. Historically, algebraization represents a crucial stage of abstract formalization.
• Attached — Attached, glued, united, or tightly fixed to another element, forming a unitary whole or an immediate proximity; adjacent, contiguous. In a linguistic context, it describes a morpheme or clitic pronounced or written in close connection with the base word. In architecture or geometry, it refers to structures sharing a common wall or boundary.
• Alternate — Succeeding in a regular manner, one element after another; arranged on either side of an axis or line at different points. In botany, it describes leaves set successively on the stem, at different heights, one by one. In geometry, it refers to angles formed by two lines cut by a transversal, located on opposite sides of it.
• Alternate — Masculine plural form of the adjective 'altern'; describes elements, structures, or bodies arranged successively, one after another, by turns, on an axis, or located on opposite sides of a dividing line (e.g., alternate interior angles).
• 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.
• Amygdaliform — Having the shape of an almond; ovoid, elongated, and slightly flattened at the ends, presenting a specific biconvex geometry. This structural descriptor is widely used in anatomy to define nuclei or organs, in mineralogy for rock aggregates, and in archaeology to classify chipped stone axes from the Paleolithic era.
• Analytic — Based on analysis, utilizing analysis as its primary research method, or pertaining to it. In mathematics, it refers to branches that employ algebraic methods and differential calculus (analytic geometry) or to functions that can be expanded into power series. In linguistics, it describes languages in which grammatical relationships are expressed through separate helper words (prepositions, articles, auxiliary verbs) and word order, as opposed to synthetic languages based on inflection.
• To anamorfize — To intentionally and controllably distort an image, drawing, or object using a special optical system or rigorous geometric calculations, such that it appears distorted or unrecognizable from a normal angle, but becomes perfectly clear, proportional, and intelligible when viewed from a specific fixed vantage point or through a curved mirror (cylindrical or conical).
• Anisogonic — Having unequal angles; a polygon or geometric figure whose internal angles are not identical in measure, although the sides may sometimes retain symmetrical proportions. The term is used rarely in higher geometry or crystallography to describe asymmetric polygonal structures or crystal lattices that deviate from isogonic or regular shapes.