Definition:Surface (Geometry)

Definition

In the words of Euclid:

A surface is that which has length and breadth only.

(The Elements: Book $\text{I}$: Definition $5$)

and:

An extremity of a solid is a surface.

(The Elements: Book $\text{XI}$: Definition $2$)

Plane Surface

In the words of Euclid:

A plane surface is a surface which lies evenly with the straight lines on itself.

(The Elements: Book $\text{I}$: Definition $7$)

Sources

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: surface (of a solid)