曲面

• all points such as and lie on a surface of two sheets.
  所有象和这样的点都位于一个双叶曲面上。
• In this example, then, the surface forms a virtual image 180mm to the left of the vertex .
  因此，在本例中这曲面在顶点左方180mm处形成一虚象。
• Rather than deriving expressions for these surfaces let's justify the above remarks .
  我们不去推导这些曲面的表达式，而只是验证一下上面的这些话。
• Single curved glass would distort nature , how much more would a pair of them ?
  如果单一的曲面镜会歪曲自然，那么一对曲面镜对自然的歪曲又会多大呢？
• 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。
• He says that, to crown the introduction of plane curves, one should study curves on surfaces .
  他说，为进一步发展平面曲线论，应该研究曲面上的曲线。
• Curved glass was the popular contrivance for producing not truth but illusion, untruth .
  曲面镜不是用来产生真实影像，而是用来产生幻影（即假象）的流行器件。
• A developable surface is one that can be made from a flat sheet without any in-plane strains .
  可展曲面是一个可以由平板在不发生任何面内应变的条件下弯成的曲面。
• The theory of surfaces made a slow start. it began with the subject of geodesics on surfaces .
  曲面理论也经历了一个漫长的开端，曲面理论是从曲面上的测地线的研究开始的。
• the quantities baβ are the covariant components of a plane tensor, called the curvature tensor of the surface.
  ba是“平面张量”的协变分量，叫做该曲面的曲率张量。