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The equation for conic sections, including circles, was developed by ancient Greek mathematicians, particularly Apollonius of Perga, in the 3rd century BCE. He is often credited with formalizing the study of conics in his work "Conics." However, the general equation of a circle ( (x - h)^2 + (y - k)^2 = r^2 ) is derived from the definition of a circle as the set of points equidistant from a center point ((h, k)).
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Who discovered the conic section?
Leibniz
Which Conic sections describes a closed 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.
The standard conic section are described today by Linear equation Bi-quadratic equations Quadratic equations Cubic equations?
The standard of conic section by linear is the second order polynomial equation. This is taught in math.
Why are conic section called conic sections?
Circles, ellipses, parabolas, and hyperbolas are called conic sections because they can be obtained as a intersection of a plane with a double- napped circular cone. If the plane passes through vertex of the double-napped cone, then the intersection is a point, a pair of straight lines or a single line. These are called degenerate conic sections. Because they are sections of a cone or a cone shaped object.
What conic section does the equation x2 4y2 6x 8y plus 1 equals 0 represent?
hyperbola
What are the Types of conic sections?
The types of conic sections are circles, parabolas, hyperbolas, and ellipses.
What are real life examples of conic sections circles?
a wheel
Who discovered the conic section?
Leibniz
Which Conic sections describes a closed 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.
The standard conic section are described today by Linear equation Bi-quadratic equations Quadratic equations Cubic equations?
The standard of conic section by linear is the second order polynomial equation. This is taught in math.
Why are conic section called conic sections?
Circles, ellipses, parabolas, and hyperbolas are called conic sections because they can be obtained as a intersection of a plane with a double- napped circular cone. If the plane passes through vertex of the double-napped cone, then the intersection is a point, a pair of straight lines or a single line. These are called degenerate conic sections. Because they are sections of a cone or a cone shaped object.
What conic section does the equation x2 4y2 6x 8y plus 1 equals 0 represent?
hyperbola
Can you create a conic section that consists of two circles of equal size?
Yes, if you use both sides of the mathematical cone (on each side of the apex).
Discovered quadratic equation?
Quadratic equation
Why are circles ellipse parabolas and hyperbolas called conic sections?
Circles, parabolas, ellipses,and hyperbolas are called conic sections because you can get those shapes by placing two cones - one on top of the other - with only the tip touching, and then you cut those cones by a plane. When you move that plane around you get different shapes. If you want to see an illustration of these properties, click on the link below on the related links section.
What Was Johanne Kelper'sContribution To Astronomy?
Kepler discovered that planets move in elipses which are stretched out cicles. elipses are 1 of the four conic sections
What are the four kinds of parabolas?
Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane. There are different ways to do this, and each way yields a different figure. These figures can be represented on the graph as well as algebraically. The four conic sections are circles, ellipses, parabolas, and hyperbolas.
