Definitions Chap. 2 Flashcards
Closed curve
Begins and ends at the same point. ⭕️
Triangle
Union of segments looks like Δ
Simple curve
Doesn’t intersect itself C
Simple closed curve
Closed and simple curve
Circle
Set of all points that are a given distance from a given point in a given plane.
Center
Given point in the plane
Radius of a circle
A segment that connects a point on the circle with the center
Chord of a circle
A segment having both end points on the circle
Diameter
A chord that passes through the center of the circle
Arc
A curve that is a subset of a circle
Interior of a circle
Set of all planar points whose distance from the center of the circle is the length of the radius
Exterior of a circle
The set of all planar points whose distance from the center is greater than the length of the radius
Jordan curve thereom
Any simple closed curve divides itself into 3 the curve, interior and exterior
Half line
Set of all points on a line on a given side of a given point of the line
Ray
The union of the half line and its origin. It extends infinitely in one direction from a point