archimedean

archimedean

An Archimedean screw lifts water from a river into an irrigation channel.

Definition
  1. Adjective:
    • Relating to Archimedes: "archimedean" refers to the ancient Greek mathematician, physicist, engineer, inventor, and astronomer Archimedes of Syracuse (c. 287–212 BCE). It is used to describe principles, inventions, or concepts attributed to him.
    • Pertaining to the Archimedean property: In mathematics, "archimedean" describes a property of a mathematical structure (such as an ordered field) where, for any two positive elements, one can be multiplied by a sufficiently large integer to exceed the other. This is a foundational concept in analysis and number theory.
Usage Examples
  • (A device attributed to Archimedes for lifting water.)
  • (A mathematical concept.)
Advanced Usage

  • "Archimedean solid": In geometry, an Archimedean solid is a highly symmetric, convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. There are 13 such solids.

    • The truncated icosahedron, known as the soccer ball shape, is an Archimedean solid. (A specific geometric form.)

  • "Archimedean point": A hypothetical viewpoint from which a person can observe the world objectively, free from bias or perspective; derived from Archimedes' claim that he could move the Earth with a lever if given a place to stand.

    • The philosopher sought an Archimedean point to critique society from a neutral standpoint. (A metaphorical, objective perspective.)
Variants and Related Words

  • Archimedes (proper noun): the name of the historical figure; also used in compound terms.

    • Archimedes' principle states that a body immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced. (A fundamental law of physics.)

  • Archimedean property (noun phrase): the mathematical property described above.

    • The Archimedean property is essential for proving the existence of limits in calculus. (A key concept in analysis.)
Synonyms
  • Eudoxian (rare): relating to Eudoxus of Cnidus, who also developed a method of exhaustion; sometimes used similarly in mathematics.
  • Non-Archimedean (antonym): describing structures that lack the Archimedean property, such as the hyperreal numbers.
    • Non-Archimedean fields allow for infinitesimals and infinite numbers. (Contrasting concept.)
Related Idioms
  • "Give me a lever long enough and a place to stand, and I will move the Earth": A famous quote attributed to Archimedes, illustrating his understanding of leverage.
    • The startup used that motto as its Archimedean inspiration. (A metaphorical call to achieve great things with the right tools.)
Phrasal Verbs