Assertion: curve | /r/HasProperty | simple
Facets:
value: in other words
type: OTHER
Source sentences:
text: A curve is simple if it is the image of an interval or a circle by an injective continuous function.
text: A curve is called simple if it does not intersect itself.
text: Curves, or at least their graphical representations, are simple to create, for example by a stick in the sand on a beach.
text: In other words, if a curve is defined by a continuous function γ {\displaystyle \gamma } with an interval as a domain, the curve is simple if and only if two different points of the interval have different images, except, possibly, if the points are the end points of the interval.
text: Because the curve is simple (does not intersect itself), the entire change in the turning angle around the curve must be exactly 2π.