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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.
Is it true that The point line and pair of intersecting lines are special types of comic sections?
No, the point, line, and pair of intersecting lines are not classified as conic sections. Conic sections are curves obtained by intersecting a plane with a double napped cone, resulting in shapes such as circles, ellipses, parabolas, and hyperbolas. The point and line can be considered degenerate cases of conic sections, but they do not fall into the traditional categories of conic sections themselves.
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
What is the minimum value an eccentricity can be?
The minimum value of eccentricity (e) for a conic section is 0, which corresponds to a perfect circle. Eccentricity is a measure of how much a conic section deviates from being circular, with values ranging from 0 for circles, between 0 and 1 for ellipses, exactly 1 for parabolas, and greater than 1 for hyperbolas. Thus, the minimum eccentricity occurs in the case of a circular conic.
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
