与两个球面相切的固定线相交的线的包络
The envelope of lines meeting a fixed line that are tangent to two spheres
摘要：
我们研究的一组线，满足一个固定的线，并切到两个领域和分类的配置组成的一个单一的线和三个领域，其中有无限多的线切线的三个领域，也满足给定的线。所有这些组态都是简并的。这一结果的路径涉及到一些美丽的和复杂的几何真正的表面在3空间，复杂的代数几何，显式计算和图形的相互作用。
英文摘要：
We study the set of lines that meet a fixed line and are tangent to two spheres and classify the configurations consisting of a single line and three spheres for which there are infinitely many lines tangent to the three spheres that also meet the given line. All such configurations are degenerate. The path to this result involves the interplay of some beautiful and intricate geometry of real surfaces in 3-space, complex algebraic geometry, explicit computation and graphics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
