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. 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. A UWF Writing Lab Mini . Lesson. Mini-Lesson #63. DEFINITION. ELLIPSIS: a . punctuation mark . of three spaced dots (. . .) used to show an omission in writing or printing (Plural: . ellipses. ). Uses of Ellipses. Solve each equation.. 1.. 27 = . x. 2. + 11 . 2.. . x. 2. = 48 . 3.. 84 = 120 – . x. 2. Ellipses - Warm Up. 1.. 27 = . x. 2. + 11. 16 = . x. 2. . x. = . ± 16 = ±4. 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.. 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.. THE . DASH -. The dash (–) is used to set off additional material within a . sentence. Dashes are often used to . emphasize. the material they set off. . To . set off appositives that contain . commas. 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. . The Ellipse. Basic oval. Has a center point, 2 foci, focal axis, and 2 vertices on the focal axis. https://. www.youtube.com/watch?v=7UD8hOs-vaI. The ellipse. The ellipse: formulas. Ellipses with center (0, 0). Objective. You will be able to differentiate between Horizontal and Vertical Ellipses and then be able to sketch a graphical representation of the equation.. Vocabulary. Ellipse. : . the set of all points in a plane such that the . 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 . 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.. Ellipses can be regarded as what is seen when a circle is viewed . from directly . in front of the circle and the circle rotated through an angle . about its . horizontal diameter. Ellipses are measured in terms of two axes – . Ellipses: . a punctuation mark of three spaced dots . (. . . .) used to show an omission in writing or printing (Plural: ellipses. ).. Uses of Ellipses. Use ellipses to show omitted material from a quoted passage in order to be fair to the author quoted and to maintain good grammar in the writer’s own work. Your resulting passage should be grammatically complete and correct..