PPT-Lesson 6.3 Ellipses Ellipse

An ellipse is the set of points in a plane for which the sum of the distances from two fixed points is a given constant The two fixed points are the focal points of the ellipse the line passing through the focal points is called the axis The points of intersection of the axes and the ellipse are called the vertices. Parentheses, Brackets. , . and . Ellipses. . Angela Gulick. CAS Writing Specialist. June . 2015. Parentheses. ( ) ( ) ( ) ( ) ( ) ( ) ( ). Use parentheses to enclose information that is interesting but not crucial. In other words, information in parentheses could be removed and you would still have a complete grammatical sentence. Parentheses should be used sparingly in college writing because they tend to produce a choppy effect. . Academic Essays. Green Hope Honor Code. Cheating: Numerous behaviors will be considered cheating. Some of these areas include, but are not limited to, the following: using cheat sheets; using former students’ notebooks; using internet resources without citing them as appropriate sources; misrepresenting something as being real and actual; using cell phones to create images of tests, quizzes, and/or other assignments; and text messaging with other students regarding a test or quiz. The use of technology in cheating can occur on small assignments such as homework assignments as well as on more formal tests, essays, and projects. Students can be guilty of cheating if they give out or are in receipt of the material.. Motions of the Planets. The ancient astronomers believed that the Universe was made up of spheres (orbs). The sphere that contained all of the objects seen in space was the Celestial Sphere. The sphere rotated around the earth making it appear as if all celestial objects were revolving around the earth. In this image you can see the stars and the Sun look as if they’re attached to the sphere Where is the person in the image trying to get to?. We have so far discussed the basics of an ellipse. Specific type of conic section. “Oval”. Major . vs. Minor Axis. Locations of foci. Graphing; centered at origin or somewhere else. Skinny Factor. Date: ____________. Ellipses. Standard Equation of an Ellipse. Center at (0,0). x. 2. a. 2. y. 2. b. 2. +. = 1. y. x. (–. a. , 0). . (. a. , 0). . (0, . b. ). (0, –. b. ). O. Horizontal Major Axis. 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.. BY Alec Marshak & Kyle Harding. Supplies. Two pushpins. A piece of computer paper. A big piece of cardboard. A 20cm long piece of string that is tied together to form a loop. Lastly you need a pencil. 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.. Ms. . Susinno’s. Earth Science Class. TYCHO BRAHE. https://. youtu.be/7QDvKzY4aqA. . The scandalous life of . Tycho. Brahe. Kepler’s 1. st. Law. Earth is at perihelion around . J. anuary 3 . Earth is at aphelion around July 3 . An ellipse is the set of all points (x, y) the sum of whose distances from two distinct fixed points (foci) is constant. . focus. focus. (x, y). d. 2. d. 1. d. 1 +d2 is constant. The sum of the distances from any point on the ellipse is 2a, where a is the major axis. . Properties of Circles . The circle is a frequently used component in pictures and graphs, a procedure for generating either full circles or circular arcs is included in most graphics packages.. A circle is defined as the set of points . © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. Review . Vertex . Vertex . Vertex . Vertex . Center (. h,k. ). a. b. Focus . Focus . Plural Vertex – Vertices. Plural Focus – Foci. c. Major Axis = 2a. Minor Axis = 2b. x. x. - Major Axis is Horizontal .