The detailed process of constructing the involute line of a square using geometric sketchpad

php Editor Banana will introduce you to a detailed process of constructing the involute of a square. An involute is an interesting geometric curve with many unique properties. By mastering the method of constructing involute lines, you can create a variety of beautiful square patterns and flexibly adjust their size and shape. In this article, we will explain in detail how to construct an involute and how to use it to construct a square. Whether you are a geometry enthusiast or someone who wants to exercise your thinking skills, you can open up new ideas and creativity by learning this construction method.

1. Draw line segment AB, double-click point B to mark the center, select point A, [Transform] - [Rotate], 90° to get point C.

2. Draw a point F above line segment AB, double-click point F to mark the center, select point B, [Transform] - [Rotate], 90°, get the point D.

3. Select [Data]-[New Parameter], label is n, value is 3, unit is nil, OK. Select points B, A, and C, [Construct]-[Arc on Circle], and construct arc AC.

4. Select points A, B and parameter n, [Transform] - hold down the shift key - [Depth Iteration], the initial image of A is C, and the initial image of B is Like D.

5. Double-click point A to mark the center, select point B, [Transform] - [Rotate], 90° to get point E. Double-click point B to mark it as the center, select point E, [Transform] - [Zoom], 1/2, and get point O.

6. Select point F and point O, select [Edit] - [Merge Points], and the involute construction is completed.

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