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Transcript
conics
[THE FOUR DIFFERENT TYPES OF CONIC]
START
Conics
[Definition 00]
a figure formed by the intersection of a plane and a right circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
CONTENTS
03.
Ellipse
01.
Circle
02.
04.
Parabola
Hyperbola
Circle
Circle
[onic section 01]
Data
The circle is the simplest and best known conic section. As a conic section, the circle is the intersection of a plane perpendicular to the cone's axis.
+INFO
Circle
[onic section 01]
Data
The circle is the simplest and best known conic section. As a conic section, the circle is the intersection of a plane perpendicular to the cone's axis.
When the plane cuts one of the circular cones perpendicular to its vertical axis and parallel to its base, the conic section is a circle.
+INFO
circle
[conic section 02]
Sample photos of Circle Conic Section
Parabola
Parabola
[Conic section 02]
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
Parabola
[Conic section 02]
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
When the cutting plane is parallel to one side of the cone and intersects one of the two cones, the conic section is a parabola.
Parabola
[conic section 02]
Sample photos of Parabola Conic Section
Ellipse
Ellipse
[conic section 03]
An ellipse is the locus of points in a plane, the sum of whose distances from two fixed points is a constant value. The two fixed points are called the foci of the ellipse.
Ellipse
[conic section 03]
If the plane cuts the cone in a similar fashion but at a certain angle, then the conic section is an ellipse.
Ellipse
[conic section 03]
Sample photos of Ellipse Conic Section
Hyperbola
Hyperbola
[Conic section 04]
A hyperbola, in analytic geometry, is a conic section that is formed when a plane intersects a double right circular cone at an angle such that both halves of the cone are intersected. This intersection of the plane and cone produces two separate unbounded curves that are mirror images of each other called a hyperbola.
Hyperbola
[Conic section 04]
when the cutting plane intersects the two such that it is parallel to their vertical axes and perpendicular to their bases, the conic section is a hyperbola.
Hyperbola
[conic section 04]
Sample photos of Ellipse Conic Section
Ktnx bye