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

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

1 Table of Contents Hyperbola - 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 difference in the distances equal a constant, say m. Then...

2 Table of Contents Slide 2 Hyperbola - Definition and Equations Select another point and draw the lines to the foci... Let the difference in distances once again be equal to m... If we were to continue to find all of the points in the plane, the difference of whose distances from the foci is m, the result is a hyperbola...

3 Table of Contents Slide 3 Hyperbola - Definition and Equations Using the definition of a hyperbola in a coordinate plane, the equations are found to be as follows. Horizontal AxisVertical Axis

4 Table of Contents Hyperbola - Definition and Equations


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