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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

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