PPT-Conic Sections

111 An Introduction Conic Sections Introduction A conic is a shape generated by intersecting two lines at a point vertex and rotating one line generator around the other axis while . area. and . the . origin. of . the . name. parabola. Kristjana. . Qosia. , Maria . Ntrinia. , Christina . Ioannou-Pappa. 8. th. . Lyceum of Athens. The discovery of conic sections is ascribed to Menaechmus. He tried to solve the problem of the duplication of cube using Hippocrates’ discovery that this problem can be reduced to the problem of finding two mean proportional in continued proportion between two given straight lines. Actually construction of a segment x such that x. We know that the standard equations of the ellipse are as follows: , where (horizontal major axis)or , where (vertical major axis)In order to find the information asked for, we must convert to st Graphing these two points in a coordinate system allows us to recognize that this must be an ellipse with a horizontal major axis since the foci always lie on the major axis. , where NOTE: Graphing Spring 2010. Math . 2644. Ayona Chatterjee. Conic sections result from intersection a cone with a plane.. PARABOLAS. A parabolas is the set of points in a plane that are equidistant from a fixed point F (called the focus) and a fixed line (called the directrix).. Written by Gaurav Rao. Last edited: 10/3/15. What Are Conics?. Conics are cross sections of a cone. Locus of points that distance from a point (focus) . And a line (. directrix. ) are at a fixed ratio(eccentricity). Alberto . Ribon. Witek Pokorski. 25.04.2013. Motivation. our starting point: extract the . kaon. and hyperons cross-sections from CHIPS. make sure that all the production physics list use the same cross-sections set. Find the equation of the conic section using the given information. Ellipse: co-vertices . and foci .  . Find the equation of the conic section using the given . information.. Circle: center (-4,5) and tangent to the y-axis. What are Cross Sections?. Cross Sections are defined as the shape we get when cutting straight through an object. They can be determined by how the cross section flows…whether vertically or horizontally.. Basic hyperbola vocab. Hyperbola. : Set of all points P such that the . difference. of the distance between P and two fixed points (foci) is a constant. Vertices. : The line through the foci intersects the hyperbola at the vertices. Module 10. HigherEdServices.org. Session topics. Cutting planes. Cross Sections. Multiple Cross Sections. Cutting Planes. A cutting plane is an imaginary plane that slices through an object. Cutting Plane. Parabola: the collection of all points that are equidistant from a point(focus) and a line(. directrix. ). 1. Distance from A to focus:. Distance from B to focus:. Distance from C to focus:. 2. Vertex at. Dr. Shildneck. Fall, 2014. The Ellipse. An ellipse is a locus of points such that the sum of the distances between two fixed points (called the foci) is always the same.. The axis that runs through the longer part of the ellipse is called the major axis. The points at the ends of the major axis are called the vertices.. Robert Davidson and Bob Gardner Department of Mathematics and Statistics East Tennessee State University. Online at: . http://www.etsu.edu/math/gardner/stooges/Stooges-Trig-2012.ppt. Sections of a right cone. The Conics in everyday life. Terminology. Conics . as plane . loci - Problems. Double Hyperbola. Conics as plane loci. Four Conic Sections. Conics in a rectangle. More Problems.