In Euclidean geometry, an arc is a closed segment of a differentiablecurve in the two-dimensional plane; for example, a circular arc is a segment of a circle. If the arc segment occupies a great circle (or great ellipse), it is considered a great-arc segment. Euclid Euclidean geometry is a mathematical system due to the Hellenistic mathematician Euclid of Egypt. ... In topology and related branches of mathematics, a closed set is a set whose complement is open. ... In mathematics, the derivative of a function is one of the two central concepts of calculus. ... In mathematics, the concept of a curve tries to capture the intuitive idea of a geometrical one-dimensional and continuous object. ... In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a fixed point, the centre. ...
...differentialgeometry, branch of geometry in which the concepts of the calculus are applied to curves, surfaces, and other geometric entities.
...algebraic geometry, branch of geometry, based on analytic geometry, that is concerned with geometric objects (loci) defined by algebraic relations among their coordinates...
...arc, in geometry, in geometry, a curved line or any part of it; in particular, a portion of the circumference of a circle.
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