The definition of a circle uses the plane as an undefined term.
<h3>Further explanation</h3>
In geometry, undefined terms are those which do not require a rigorous definition. This doesn't mean that those terms are not properly defined, it just means that... their definition is very simple. Let's take a look at those undefined terms:
- A point, which indicates the position of something. Points have no dimensions, therefor you can't draw a point bigger than another.
- A line, which indicates a set of collinear points. Lines don't have thickness nor width, so you can't draw a thicker line than another.
- A plane, which indicates a set of points spanned by 2 lines. Planes have length and width, but no thickness.
From the above 3 definitions, it is possible to define any geometry, that's why we call those undefined terms "building blocks". So, from the above we can define the geometry of a circle, since circles are defined as <em>all points on a </em><em>plane </em><em>such that they are equidistant from a single point, called the center.</em>
<h3>Learn more</h3>
<h3>Keywords</h3>
Plane, undefined terms in geometry, circle, point.
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