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Math: Geometry: Euclid's Elements Book I, Definitions

Euclid's Book 1 begins with 23 definitions — such as point, line, and surface. Following a visual illustration.

Euclid Elements Book I, 23 definitions

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     The first few definitions are:

  • Definition 1. A point is that which has no part.

  • Definition 2. A line is breadthless length.

  • Definition 3. The extremities of a line are points.

  • Definition 4. A straight line is a line which lies evenly with the points on itself.

Euclid Elements Book I, 23 definitions

The Thirteen Books of the Elements by Euclid

Euclid's Elements is the oldest mathematical and geometric treatise consisting of 13 books written by Euclid in Alexandria c. 300 BC. It is a collection of definitions, postulates, axioms, 467 propositions (theorems and constructions), and mathematical proofs of the propositions. 

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