Presentation is loading. Please wait.

Presentation is loading. Please wait.

Table of Contents Ellipse - Definition and Equations Consider two fixed points in the plane, F 1 and F 2, which we shall call foci... Select a point in.

Published byKory Leonard Modified over 8 years ago

Similar presentations

Presentation on theme: "Table of Contents Ellipse - Definition and Equations Consider two fixed points in the plane, F 1 and F 2, which we shall call foci... Select a point in."— Presentation transcript:

1 Table of Contents Ellipse - Definition and Equations Consider two fixed points in the plane, F 1 and F 2, which we shall call foci... Select a point in the plane... Now draw lines from the point to the foci, and call these distances d 1 and d 2. Let the total distance equal a constant, say m. Then...

2 Table of Contents Slide 2 Ellipse - Definition and Equations Select another point and draw the lines to the foci... Let the total distance once again be equal to m... If we were to continue to find all of the points in the plane, the sum of whose distances from the foci is m, the result is an ellipse...

3 Table of Contents Slide 3 Ellipse - Definition and Equations Using the definition of an ellipse in a coordinate plane, the equations are found to be as follows. Horizontal EllipseVertical Ellipse

4 Table of Contents Ellipse - Definition and Equations

Download ppt "Table of Contents Ellipse - Definition and Equations Consider two fixed points in the plane, F 1 and F 2, which we shall call foci... Select a point in."

Similar presentations

10.3 Ellipses JMerrill, 2010. General Second Degree Equation Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0.

10.3 Ellipses JMerrill, General Second Degree Equation Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0.
Analytic Geometry Section 3.3

Analytic Geometry Section 3.3
Math 143 Section 7.1 The Ellipse

Math 143 Section 7.1 The Ellipse
Conic Sections Parabola Ellipse Hyperbola

Conic Sections Parabola Ellipse Hyperbola
Table of Contents Parabola - Definition and Equations Consider a fixed point F in the plane which we shall call the focus, and a line which we will call.

Table of Contents Parabola - Definition and Equations Consider a fixed point F in the plane which we shall call the focus, and a line which we will call.
Table of Contents Ellipse - Finding the Equation Recall that the two equations for the ellipse are given by... Horizontal EllipseVertical Ellipse.

Table of Contents Ellipse - Finding the Equation Recall that the two equations for the ellipse are given by... Horizontal EllipseVertical Ellipse.
Hyperbola – a set of points in a plane whose difference of the distances from two fixed points is a constant. Section 7.4 – The Hyperbola.

Hyperbola – a set of points in a plane whose difference of the distances from two fixed points is a constant. Section 7.4 – The Hyperbola.
Table of Contents Hyperbola - Finding the Equation Horizontal AxisVertical Axis Recall that the equations for the hyperbola are given by...

Table of Contents Hyperbola - Finding the Equation Horizontal AxisVertical Axis Recall that the equations for the hyperbola are given by...
Ellipses Objective: Be able to get the equation of an ellipse from given information or the graph Be able to find the key features of and graph an ellipse.

Ellipses Objective: Be able to get the equation of an ellipse from given information or the graph Be able to find the key features of and graph an ellipse.
10.4 Hyperbolas JMerrill 2010. Definition A hyperbola is the set of all points in a plane, the difference of whose distances from two distinct fixed point.

10.4 Hyperbolas JMerrill Definition A hyperbola is the set of all points in a plane, the difference of whose distances from two distinct fixed point.
Warm Up Find the distance between (0, -2) & (4, 3)

Warm Up Find the distance between (0, -2) & (4, 3)
Hyperbolas 9.3. Definition of a Hyperbola A hyperbola is the set of all points (x, y) in a plane, the difference of whose distances from two distinct.

Hyperbolas 9.3. Definition of a Hyperbola A hyperbola is the set of all points (x, y) in a plane, the difference of whose distances from two distinct.
Advanced Geometry Conic Sections Lesson 4

Advanced Geometry Conic Sections Lesson 4
Unit #4 Conics. An ellipse is the set of all points in a plane whose distances from two fixed points in the plane, the foci, is constant. Major Axis Minor.

Unit #4 Conics. An ellipse is the set of all points in a plane whose distances from two fixed points in the plane, the foci, is constant. Major Axis Minor.
9.5 Hyperbolas PART 1 Hyperbola/Parabola Quiz: Friday Conics Test: March 26.

9.5 Hyperbolas PART 1 Hyperbola/Parabola Quiz: Friday Conics Test: March 26.
THE HYPERBOLA. A hyperbola is the collection of all points in the plane the difference of whose distances from two fixed points, called the foci, is a.

THE HYPERBOLA. A hyperbola is the collection of all points in the plane the difference of whose distances from two fixed points, called the foci, is a.
11.3 Ellipses Objective: By the end of the lesson, you should be able to write an equation of an ellipse and sketch its graph.

11.3 Ellipses Objective: By the end of the lesson, you should be able to write an equation of an ellipse and sketch its graph.
Conic Sections Part 2: Ellipses Integrated Math 4 Mrs. Tyrpak.

Conic Sections Part 2: Ellipses Integrated Math 4 Mrs. Tyrpak.
Section 7.3 – The Ellipse Ellipse – a set of points in a plane whose distances from two fixed points is a constant.

Section 7.3 – The Ellipse Ellipse – a set of points in a plane whose distances from two fixed points is a constant.
Section 2 Chapter 11. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 2 3 4 The Circle and the Ellipse Find an equation of a circle.

Section 2 Chapter Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives The Circle and the Ellipse Find an equation of a circle.

Similar presentations

Ads by Google