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Pursuit Curves

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Introduction

Steven Petrovas Pursuit Curves This article talks about pursuit curves. The definition of a pursuit curve is the path an object takes when chasing another object. The article gives examples of these, such as a fox pursuing a rabbit or a missile seeking a moving target. There are also several qualifications that need to be met for a curve to be deemed a pursuit curve. ...read more.

Middle

Each person looks directly at the person to his or her left, then begins to walk toward that person. If all four people move at the same time and at the same constant speed, each person follows a spiral path toward the square's center." The article then gives directions on how to go about plotting such curves as described above (see steps 1-5 on article). ...read more.

Conclusion

This is significant because Henri Brocard found the points by studying the problem of three dogs chasing on another. He tested using different pursuing speeds, and was able to determine that one set for each brocard point had two possible sets of spiral paths. Interestingly the article concludes with an artistic insight. It claims the rules for drawing pursuit curves and their variants can serve as a media for creating artistic designs. ...read more.

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