euclid

/'ju:klid/

Thân thiện

Euclid draws a geometric diagram on a papyrus scroll.

Definition

1. Proper noun:
   • Euclid: A Greek mathematician who lived in Alexandria during the 3rd century BC. He is most famous for his work in geometry, particularly his foundational treatise Elements, which systematically presented geometry and number theory through a series of axioms, definitions, and proofs. His work has profoundly influenced mathematics for over two millennia.

Usage Examples

• Proper noun:
  • The principles of geometry are often traced back to Euclid.
  • Students of mathematics study the axioms established by Euclid.

Advanced Usage

• "Euclidean" (adjective): Pertaining to the geometry or mathematical principles of Euclid.
  • Euclidean geometry is based on the postulate that parallel lines never meet.
• "Euclid's algorithm": A method for computing the greatest common divisor of two numbers, described in Euclid's .
  • The programmer used Euclid's algorithm to simplify the fraction.

Variants and Related Words

• Euclidean (adj): Of or relating to Euclid or his geometry.
• Non-Euclidean (adj): Denoting geometries, such as spherical or hyperbolic geometry, that do not adhere to Euclid's parallel postulate.

Synonyms

• The Father of Geometry: A common epithet for Euclid.
• Alexandrian Geometer: A descriptive term referencing his location and field of study.

Related Phrases and Idioms

• "Euclid's Elements": The specific title of his seminal work.
  • The logical structure of "Euclid's Elements" set a standard for mathematical reasoning.
• "Euclidean space": A mathematical concept for a space that satisfies the axioms of Euclidean geometry.
  • In physics, Newtonian mechanics assumes a three-dimensional Euclidean space.

Học thuật

Noun

1. Greek geometer (3rd century BC)

Từ đồng nghĩa

• euclid