endpoint

Examples of endpoint in the following topics:

• Interval Notation

  • Interval notation uses parentheses and brackets to describe sets of real numbers and their endpoints.
  • The two numbers are called the endpoints of the interval.
  • An open interval does not include its endpoints and is indicated with parentheses.
  • An interval is said to be bounded if both of its endpoints are real numbers.
  • Conversely, if neither endpoint is a real number, the interval is said to be unbounded.

• Parts of an Ellipse

  • Its endpoints are the major axis vertices, with coordinates $(h \pm a, k)$.
  • Its endpoints are the minor axis verticies, with coordinates $(h, k \pm b)$.

• The Distance Formula and Midpoints of Segments

  • In geometry, the midpoint is the middle point of a line segment, or the middle point of two points on a line, and thus is equidistant from both endpoints.
  • The equation for a midpoint of a line segment with endpoints $(x_{1},y_{1})$and $(x_{2},y_{2})$

• Circles as Conic Sections

  • Diameter: the longest chord, a line segment whose endpoints lie on the circle and which passes through the center; or the length of such a segment, which is the largest distance between any two points on the circle.
  • Segment: a region bounded by a chord and an arc lying between the chord's endpoints.

• Standard Equations of Hyperbolas

  • A conjugate axis of length 2b, corresponding to the minor axis of an ellipse, is sometimes drawn on the non-transverse principal axis; its endpoints ±b lie on the minor axis at the height of the asymptotes over/under the hyperbola's vertices.