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在工程设计或数控编程时,三切圆图形的解数判别常是似是而非的。作者对此长期研究后,发现了解数规律。本文先用解析法进行证明,再用圆束转换理论指出三切圆元素曲直转换时的解数变化动态与解析法证明的规律是吻合的,最后得出解数判别原则。文中所用的动圆运动方程是切点型圆束方程,转化元素是三切圆所切的轮廓线,它与交点型圆束方程和辅助线作转化元素是颇有区别的。这是圆束转换理论在图形研究中的新应用也是“CL公式的理论基础”的补充与发展。
In engineering design or numerical control programming, the solution of the triplets is often plausible. The author of this long-term study, found that the number of laws. In this paper, we first prove it by analytic method, and then point out that the dynamic change of the solution number of the trilogic elements during the straight-transition is consistent with the law of analytic method, and finally conclude the principle of the number of solutions. The motion equation used in this paper is the tangent point circular beam equation. The transformation element is the contour cut by the tangent circle. It is quite different from the intersection point circular beam equation and the auxiliary line. This is the new application of the theory of circular beam conversion in the study of graphics and also the supplement and development of “the theoretical basis of the CL formula.”