Custom Solid: Elliptical Cross Sections Parallel to yAxis
- Tim Brzezinski
HOW TO USE:
Enter any UPPER FUNCTION (labeled upper(x)). Enter any LOWER FUNCTION (labeled lower(x)). Enter your lower and upper limits of integration ("a" and "b", respectively). Slide the FILLING slider all the way to the left. For this solid, note how cross sections parallel to the yAxis are ellipses with its entire minor axis lying in the base. This minor axis is parallel to the yAxis and has length = upper(x) - lower(x). In addition, you can alter the eccentricity of this ellipse by using the ecc slider. Here . You can move this ellipse by sliding the MoveMe slider. You can modify any of these parameters (functions, limits) at any time. To explore in augmented reality, see the directions below this applet.
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device. 2) Go to the MENU (horizontal bars) in the upper left corner. Select OPEN. In the Search GeoGebra Resources input box, type m2hgzcyr (Note this is the resource ID = last 8 digits of the URL for this resource.) 3) In the resource that uploads, zoom in/out if needed. You can alter the functions upper(x), lower(x). You can also move sliders a, b, MoveMe, Filling, and ecc. (Be sure to leave everything else alone.)