空间直线和平面绕任意轴旋转任意次运动轨迹和角度坐标的研究

A research of moving Track and Angular Coordinate of Revolving Space Line and Plane

本文利用球面图法将空间直线、平面绕任意轴旋转任意次,然后在球面图中研究其运动轨迹和角度坐标.它是球面图法动态研究的继续.研究表明,球面图中展现的运动轨迹清晰、直观,角度坐标的计算简便、正确,充分体现了球面图法的优越性.

The method of spherical is a new method for calculating a spaceangle.It is an ingenious combination of figures with mathematics.The method can be defined as follows:translate the space line and planeof the object into a spherical the coordinate system,and draw a figure ofsolid sphere by employing.“true exisence”of angular relation in the spher-ical figure.Thus,the required angle can be directly measured in a plottinginstrument of spherical figures,or a plane—spherical figure line the threeplane projection can be drawn.Finally,calculate the angle by using theformulas of the spherical triangle.The research of space lines revolving on any axis at any time is a con-tinuation of the the dynamic research of the method of spherical diagrams,In this paper a description is made of the space line and plane revoluing onany axis at any time according to the theory of the method of sphericaldiagrams.And then,the research of its track and angular coordinate inspherical figure is described.It has been known through the research thatthe moving tracks in the spherical figure are clear and perceivable.The calculation of the angular coordinate is simple and accurate.That fully reflects the advantages of the method of spherical diagrams.