An ellipse is a conic section which is a closed curve.
A circle is a special case of an ellipse.
The first order continuity curve is a term used in geometry to describe parametric first derivatives that are in proportion at the intersection on at least two successive sections of the curve.
The red curve in the figure is commonly referred to as the "demand curve" in economics. It represents the relationship between the price of a good or service and the quantity demanded by consumers. Typically, the demand curve slopes downward from left to right, indicating that as the price decreases, the quantity demanded increases.
GREEN'S THEOREM: if m=m(x,y) and n= n(x,y) are the continuous functions and also partial differential in a region 'r' of x,y plane bounded by a simple closed curve c. DIVERGENCE THEOREM: if f is a vector point function having continuous first order partial derivatives in the region v bounded by a closed curve s
curve is an action verb
The word curve can be used as either a verb or a noun. As a verb: when you throw a ball, its path will curve downward, because of gravity. As a noun: the equation can be drawn on the graph as a smooth curve.
Circles, parabolas, ellipses, and hyperbolas are all conic sections. Out of these conic sections, the circle and ellipse are the ones which define a closed curve.
Ellipse and curve! apex
Ellipse circle
circle and ellipse are closed curved conic section!, from bilal , Pakistan
Conic section
The phrase is a "conic section".
Those are known as conic section, and they are described by equations of degree 2.
The term that best describes the curve formed by the intersection of a cone and a plane is a "conic section." Depending on the angle and position of the plane relative to the cone, the conic section can be classified as a circle, ellipse, parabola, or hyperbola. Each of these shapes represents a different type of intersection based on the geometric relationship between the cone and the plane.
The exact point directly above the focus of a conic section, such as a parabola, is called the "vertex." In a parabola, the vertex is the point where the curve changes direction. For other conic sections like ellipses and hyperbolas, the term "vertex" can also apply, but the focus is typically referenced in relation to the overall shape and properties of the conic section.
simple curve is a curve which doesnot cross itself,it neednot be closed....... but a simple closed curve is a curve which is simple and also closed. every simple closed curve is a simple curve but not vice versa.
Another name for a parabola is a "quadratic curve." This term emphasizes its connection to quadratic functions, as parabolas are the graphical representation of equations of the form (y = ax^2 + bx + c). In some contexts, parabolas can also be referred to as "conic sections" when discussing their properties in relation to conic geometry.
The apex of a conic section refers to the highest or lowest point of a curve, depending on its orientation. In the context of a parabola, the apex is synonymous with the vertex, which is the point where the curve changes direction. For hyperbolas and ellipses, the term is less commonly used, but it can refer to the points of intersection with the major axis or the extreme points of the curve. Overall, the apex signifies a critical point that defines the shape and properties of the conic section.