Illustrate that path is the hyperbola


Kepler provided the given construction for the hyperbola with foci at A and B and with one vertex at C: Consider pins be placed at A and B. To A let thread with length AC be tied and to B thread with length BC. Consider every thread be lengthened by the amount equal to itself. Then grasp two threads together with one hand (starting at C) and little by little move away from C, paying out two threads. With other hand, draw path of join of two threads at fingers. Illustrate that path is the hyperbola.

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Mathematics: Illustrate that path is the hyperbola
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