Geometry Unit 8 Conic Sections
... At this point, do not make graphing the conic sections a more difficult task by having students solve for x and or y. Instead, simply have student graph conic sections using a table of values that range from -5 to +5; substituting for whichever variable is easier. [Note: If you have a classroom set ...
... At this point, do not make graphing the conic sections a more difficult task by having students solve for x and or y. Instead, simply have student graph conic sections using a table of values that range from -5 to +5; substituting for whichever variable is easier. [Note: If you have a classroom set ...
lecture 25
... are equal. (Here len(s1 ) refers to the length of s1 , and so on...) We then talked about Descartes, who invented a cunning technique for turning problems in geometry into problems in algebra: the Cartesian plane. Each point in the plane is labelled with a pair of (real) numbers—the x coordinate, an ...
... are equal. (Here len(s1 ) refers to the length of s1 , and so on...) We then talked about Descartes, who invented a cunning technique for turning problems in geometry into problems in algebra: the Cartesian plane. Each point in the plane is labelled with a pair of (real) numbers—the x coordinate, an ...
Problem Task - CMS Secondary Math Wiki
... At this point, do not make graphing the conic sections a more difficult task by having students solve for x and or y. Instead, simply have student graph conic sections using a table of values that range from -5 to +5; substituting for whichever variable is easier. [Note: If you have a classroom set ...
... At this point, do not make graphing the conic sections a more difficult task by having students solve for x and or y. Instead, simply have student graph conic sections using a table of values that range from -5 to +5; substituting for whichever variable is easier. [Note: If you have a classroom set ...
Conic section
In mathematics, a conic section (or just conic) is a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a plane. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2, and as a quadric of dimension 1. There are a number of other geometric definitions possible. One of the most useful, in that it involves only the plane, is that a non-circular conic consists of those points whose distances to some point, called a focus, and some line, called a directrix, are in a fixed ratio, called the eccentricity.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. In modern geometry certain degenerate cases, such as the union of two lines, are included as conics as well.The conic sections have been named and studied at least since 200 BC, when Apollonius of Perga undertook a systematic study of their properties.