PPT-CONIC SECTIONS

OTHER VIEW OF CONIC SECTIONS THE CIRCLE CONIC SECTION THE CIRCLE Equation for a Circle Standard Form x² y² r² You can determine the equation for a circle by using the distance formula then applying the standard form equation. 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. 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 Eccentricity – . The ratio of distances. . It basically tells how close a conic section is to being a circle.. In a parabola: . . e. . = 1. In an ellipse or hyperbola:. The . ratio between the foci and the vertices. By: Amanda Anthony . Staci . Fetterman. Nicole Lloyd. Ashley Morgan. Definition. An ellipsis is a series of three points with spaces between them(. . .) inserted into a quotation to indicate the omission of material from the original quotation.. Michael Woltermann. Mathematics Department. Washington and Jefferson College. Washington, PA 15301-4801. Triumph der Mathematik. 100 Great Problems of Elementary Mathematics. By Heinrich D. Conic sections will be defined in two different ways in this unit.. The set of points formed by the intersection of a plane and a double-napped cone.. The set of points satisfying certain conditions in relationship to a fixed point and a fixed line or to two fixed points. 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. 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. AND . HYPERBOLA. ARE CALLED CONIC SECTIONS. BECAUSE . THESE CURVES APPEAR ON THE SURFACE OF A CONE . WHEN IT IS CUT BY SOME TYPICAL CUTTING PLANES.. Section Plane. Through Generators. 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. TThheessiimmpplleeaannddccoonnvveenniieenncceepprreevveennttssccrraattcchheesssshheeeettNEWSDec 2014TEL81-868-38-6154 FAX81-868-38-6331E-mail toolsconiccojpURL http//wwwconiccojp/EnPage/indexhtmlEEaas THE CIRCLE. CONIC SECTION – THE CIRCLE. Equation for a Circle. Standard Form: x² + y² = r². You can determine the equation for a circle by using the distance formula then applying the standard form equation..