What is an Amphimacer in Geometry?

Amphimacer is a term used in geometry to describe a line that intersects two other lines, but does not pass through either of their points of intersection. In other words, it is a line that has two points of intersection with other lines, but does not have any point of intersection with the midpoint of either of those lines.

Here's an example to illustrate this concept:

Suppose we have three lines, A, B, and C, as shown in the figure below:

In this case, line A intersects lines B and C at points D and E, respectively. However, line A does not pass through the midpoint of either line B or line C. Therefore, line A is an amphimacer of both lines B and C.

I hope this helps! Let me know if you have any further questions.

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