The items in the menu labeled "Misc" handle actions
that are not
easily characterized into a group. The items listed under this
menu will change depending on which of the three possible geometries
you are working in -- Euclidean, Hyperbolic, or Elliptic.
Tangent to Arc/Circle/Function at Point:
Choose this option to
create a tangent line for the currently selected object. Tangent
lines can be created for arcs, circles, and graphs of functions.
Attach Point to Object: Choose this option
to create a
point that is attached to the currently selected object. Attached
points can be created for lines, segments, rays, arcs, circles, graphs
of functions, and the boundaries of arc areas, circle areas, and
polyonal areas. (Note that one can attach a point directly by selecting
the Point tool in the Create Panel and then clicking on the object to
attach the point.)
Mark Congruence:
Choose this option to create an angle or segment congruence symbol for
the currently selected object. Select three points to create an
angle congruence mark, and select a segment to create a segment
congruence mark. When this option is selected, a dialog box will
popup requesting a choice for the number of marks for the congruence.
Segment Arrow:
Choose this
option to create an arrow at the end of a selected segment. When
this option is selected, a dialog box will popup requesting a choice
for the endpoint at which to create the arrow.
Control
Buttons: Choose
this menu option to create a special button that will control some
action on the screen. When we select this menu, a submenu will appear
with the following options:
Show/Hide
Objects:
Choose this option to
create a button
that will control the visibility of the current set of selected
objects. The button is created with the objects visible, and each
time the user clicks the button, the objects will change their
visibility.
Move Objects:
Choose this option to
create a button
that will move points toward other points. For every pair of
points that are selected, if the user clicks the Move button, the first
point in the pair will move towards the second point. Thus, if
four points A,B,C, and D are selected, in that order, and a Move button
is created, then when the user clicks the Move button, point A will
move to B's position and point C will move to point D's position.
Animate Objects:
Choose this option to
create a button
that will control the animation of all currently selected
objects. Once this option is selected, the properties dialog will
popup where animation properties can be set (e.g., speed). After
the button is created, when the user clicks the Animate button, the
animation starts and when the user clicks the button a second time the
animation stops. For more information on animating objects, look
here.
Iterate Function:
Choose this option to
create a button
that will carry out the iteration of a function y=f(x) on a point. To
enable this menu option, select the graph of a function y=f(x).
Once this option is selected, the Iterate button will be created on the
screen. To use this button, first select a point and then click the
button. Geometry Explorer will take the x-value of the point and
find a point on the graph and another point that lies on the line y=x,
which can be used for the next iterate. For example, in the
figure, we have created an Iterate button for the parabola. Then, we
selected point A and clicked the Iterate button. The system creates all
of the objects in red: point B on the graph, using the x-value of A,
point C on y=x, using the y-value of B, and the two segments AB and BC.
If we now select C and click iterate, we will get a new point
which is essentially f(f(x)) for x the x-value of point A.
Sequence Buttons:
Choose this option to
create a button
that will carry out the actions of a set of existing buttons that are
currently selected.
Control
Buttons: The control buttons have the same functionality as in
the Euclidean case, except for the Iterate button, which is not
available in Hyperbolic geometry. Look
above
for info on Control Buttons.
Control
Buttons: The control
buttons have the same functionality as in the Euclidean case, except
for the Iterate button, which is not available in Elliptic
geometry.
Look
above for info on
Control Buttons.