The specific operation method of using the geometric sketchpad to realize the rolling of small circles in large circles

Want to know how to use the geometric sketchpad to make a small circle roll smoothly within a large circle? PHP editor Apple will take you to explore this issue in detail. Mastering this technique, you can create engaging geometric animations that demonstrate the dynamic effect of a small circle rotating around a larger circle. Continue reading below for a step-by-step guide to achieving this effect in Geometric Sketchpad.

1. Create a new drawing board window, establish a rectangular coordinate system, and label the origin O; pick any two points C and D on the X-axis, take O as the center, and draw a circle through point C.

2. Draw any point E on the circle O to create a ray OE. Select point C, point E, and circle O successively, and execute the [Construction]-[Arc on Circle] command to construct an arc. Click the [Radian Angle] option in the [Measurement] menu to measure the size of the radian angle COE. and mark the angle in radians.

3. Measure the length of CD and execute the [Transform]-[Mark Distance] command to mark the CD distance. Select point E and select [Translate] in the [Transform] menu. Select the angle of the marked arc COE in the display dialog box, and then click the [Translate] button to translate point E to obtain point E’.

4. Taking E’ as the center of the circle, draw a circle through point E. Double-click point E as the zoom center, select point E', and execute the [Transform]-[Rotate] command, enter a fixed angle of 180 degrees in the display dialog box, click the [Rotate] button, and rotate point E' to get E''; Taking E'' as the center of the circle, draw a circle through point E; hide circle E'.

5. Measure the length of OC, calculate OC/CD multiplied by the radian CE; mark E'' as the center of rotation, mark the calculated angle size; mark E with E'' is the rotation center, the marked angle is the angle rotation, and another E' is changed to P; draw the line segment E''P; drag the point E, and the small circle rolls within the large circle.

6. Hide redundant objects. Select points P and E, and execute the [Construct]-[Trajectory] command to obtain the trajectory of point P.

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