Starting with Bertrand curve in differential geometry, Bertrand curve with broad sense is put forward, and Bertrand surface is refined from the practice experience. Their geometry nature and inner relationship are studied.

• 论文从微分几何学中白川德曲线的概念入手，提出广义白川德曲线，从工程实践的经验中抽象出白川德曲面，研究了它们的几何性质与内在联系。