Curve - Conventions and terminology - Article Index

Encyclopedia - Curve: Encyclopedia - Curve
In mathematics, the concept of a curve tries to capture the intuitive idea of a geometrical one-dimensional and continuous object. Simple...   » Read the article

Encyclopedia - Curve: Encyclopedia Ii - Curve - Conventions And Terminology
The distinction between a curve and its image is important. Two distinct curves may have the same image. For example, a line segment can ...   » Read the article

Encyclopedia - Curve: Encyclopedia Ii - Curve - Definitions
In mathematics, a (topological) curve is defined as follows. Let I be an interval of real numbers (i.e. a non-empty connected subset of )...   » Read the article

Encyclopedia - Curve: Encyclopedia Ii - Curve - History
A curve may be a locus, or a path. That is, it may be a graphical representation of some property of points; or it may be traced out, for...   » Read the article

Encyclopedia - Curve: Encyclopedia Ii - Curve - Differential Geometry
Main article: differential geometry of curves While the first examples of curves that are met are mostly plane curves (that is, in everyd...   » Read the article

Encyclopedia - Curve: Encyclopedia Ii - Curve - Lengths Of Curves
If X is a metric space with metric d, then we can define the length of a curve by A rectifiable curve is a curve with finite length. ...   » Read the article

Encyclopedia - Curve: Encyclopedia Ii - Curve - Algebraic Curve
Main article: Algebraic curve In the setting of algebraic geometry, a curve is usually defined to be an algebraic curve. These include, f...   » Read the article