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1·The authors show that the hyperboloid of one sheet and the hyperbolic paraboloid are ruled surfaces.

作者证实：单叶双曲面和双曲抛物面是直线曲面。

2·The authors show that the hyperboloid of one sheet and the hyperbolic paraboloid are ruled surfaces.

单叶双曲面和双曲抛物面是直线曲面。

3·After 10 years of research, they proved earlier this year that a curved shape called a hyperbolic paraboloid, which they and others had been folding for years, doesn't actually exist.

经过10年的研究，他们在今年年初证明了他们以及其他人已经折了好几年的一个叫双曲线抛物面的曲面实际上并不存在。

4·Cable structures with hyperbolic paraboloid shape are analysed in detail for the form finding and structural loading calculation as well as fire reaction at high temperature by FEA method.

对双曲抛物面索网结构利用非线性有限元方法对找形、常温下结构受载计算及其火灾反应的过程等进行详细的分析研究。

5·A model test of stressed-skin hyperbolic paraboloid cantilever structure has been made and the results obtained from calculation by the given method accord basically with those from the model test.

同时还进行了双曲抛物面应力蒙皮悬挑结构的模型试验，试验表明理论计算与实测结果是基本符合的。