Monday, November 9, 2015

HP Prime Geometry App Tutorial Part 7: Conic Sections and Equations

HP Prime Geometry App Tutorial Part 7: Conic Sections and Equations

In today’s lesson we will work conic sections and showing the equations for each of the conic sections.

Drawing an Ellipse and Display its Equation

Command:  ellipse(focus point 1, focus point 2, point on the ellipse)

Draw an ellipse with foci (1,4) and (5,4) and the point on the ellipse on (5,6).

1.  Press (Cmds), 5 for Curve, 5 for Ellipse. 
2.  Go to the point (1,4) and press [ Enter ].
3.  Go to the point (5,4) and press [ Enter ].
4.  Go to the point (5,6) and press [ Enter ].

The next step is to display its equation. 

5.  Press (Cmds), 8 for Cartesian, 5 for Equation of.
6.  Select the ellipse and press [ Enter ].  In this example the equation is named GD.
7.  To see the whole equation, press [ CAS ] and execute the equation(GD) command.
8.  Press the up button to highlight the equation and press (Show).  Scroll to see the entire equation.




Drawing a Hyperbola and Display its Equation

Command:  hyperbola(focus point 1, focus point 2, point on the hyperbola)

Drawn a hyperbola with foci (-2, -2) and (-4, 2) with point (-9, 2).

1.  Press (Cmds), 5 for Curve, 6 for Hyperbola. 
2.  Go to the point (-2,-2) and press [ Enter ].
3.  Go to the point (-4,-2) and press [ Enter ].
4.  Go to the point (-9,2) and press [ Enter ].

The next step is to display its equation. 

5.  Press (Cmds), 8 for Cartesian, 5 for Equation of.
6.  Select the ellipse and press [ Enter ].  In this example the equation is named GD.
7.  To see the whole equation, press [ CAS ] and execute the equation(GD) command.
8.  Press the up button to highlight the equation and press (Show).  Scroll to see the entire equation.



Drawing a Parabola and Display its Equation

Command:  parabola(focus point, directrix line)

Draw a parabola with focus point (0,-5) and (0,3) is on the directrix line.

1.  Press (Cmds), 5 for Curve, 7 for Parabola. 
2.  Go to the point (0,-5) and press [ Enter ].
3.  Go to the point (0,3) and press [ Enter ].

The next step is to display its equation. 

4.  Press (Cmds), 8 for Cartesian, 5 for Equation of.
5.  Select the ellipse and press [ Enter ].  In this example the equation is named GC.
6.  To see the whole equation, press [ CAS ] and execute the equation(GC) command.
7.  Press the up button to highlight the equation and press (Show).  Scroll to see the entire equation.



On the next part, we will work with rotating geometric objects.   Thank you and see you next time,

Eddie




This blog is property of Edward Shore – 2015.  

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