Table of Conics C017 / 3537
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Table of Conics C017 / 3537
Plate from 18th century encyclopedia showing a table of conics. In mathematics, a conic section is a curve obtained as the intersection of a cone with a plane. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2. There are a number of other geometric definitions possible. Traditionally, the three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it is sometimes called the fourth type of conic section. The type of a conic corresponds to its eccentricity, those with eccentricity less than 1 being ellipses, those with eccentricity equal to 1 being parabolas, and those with eccentricity greater than 1 being hyperbolas. In the focus-directrix definition of a conic the circle is a limiting case with eccentricity 0
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Media ID 9234487
© DAVID PARKER/SCIENCE PHOTO LIBRARY
Algebra Circle Curve Eccentric Encyclopedia Geometry Parabola Plane Analytic Geometry
EDITORS COMMENTS
This print titled "Table of Conics C017 / 3537" takes us back to the 18th century, showcasing a beautifully intricate table of conics. In the realm of mathematics, a conic section refers to a curve formed by intersecting a cone with a plane. However, this particular image delves into the world of analytic geometry and defines a conic as a plane algebraic curve of degree 2. The table highlights four distinct types of conic sections: hyperbola, parabola, ellipse, and circle. Interestingly, the circle is considered an exceptional case within the category of ellipses due to its unique characteristics. The eccentricity plays an essential role in classifying these curves - ellipses have eccentricities less than 1, parabolas possess an eccentricity equal to 1, while hyperbolas exhibit eccentricities greater than 1. As we delve deeper into understanding these geometric wonders through their focus-directrix definition or explore their various applications in different fields such as physics and astronomy; this photograph serves as both an educational tool and artistic representation. It reminds us that mathematics can be visually stunning and intellectually stimulating simultaneously. Captured by DAVID PARKER/SCIENCE PHOTO LIBRARY for non-commercial use only; this print from Science Photo Library provides us with a glimpse into the rich history and complexity behind these fundamental mathematical concepts known as conics or conic sections.
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