GeoGebra Geometric Construction of Equidistant Curves
2020-10-10 01:56
This example demonstrates how to construct an equidistant curve using GeoGebra. By utilizing geometric commands such as Polygon, Centroid, Point, Vector, and Locus, it illustrates the generation principle and construction steps of equidistant curves. The construction combines triangles, vector translation, and locus tracking to visually present the geometric property of points on the curve being e
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1. 任意画一个多边形q1
2. 获得该多边形的中心O = Centroid(q1)
3. 构造单位向量 v = UnitVector(Vector(O,P))
4. 向外的等距曲线上任意一点Q = P + t v
 t 为距离参数, 先用滑动条工具创建一个.
5. 向内的等距曲线为 Q'=P-t v
6. 轨迹法构建等距曲线 Locus(Q,P) Locus(Q', P)""/>
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