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用尺度圆球法论证波尔克—施瓦尔兹定理 被引量:2

DEMONSTRATION THE POHLKESCHWARZ THEOREM WITH MEASURE SPHERICAL METHOD
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摘要 用四维画法几何的方法,解决三维空间内用尺度圆球法论证波尔克—施瓦尔兹定理. This paper presents the PohlkeSchwarz theorem with measure spherical method in three dimensional space. The method of four dimensional descriptive geometry was used.
作者 范波涛 李华
出处 《山东工业大学学报》 1997年第2期171-174,共4页
关键词 算图法 四维画法几何 尺度圆球法 P-S定理 Nomographic method Affine transformation Hyperplanes /Four dimensional descriptive geometry
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参考文献3

  • 1团体著者,轴测投影学,1983年,163,247页
  • 2谢培青,射影几何学,1981年
  • 3谢申--,四维画法几何学(译),1981年,46页

同被引文献11

  • 1黄伯弟.波尔克定理中三个问题的图解与计算[J].工程图学学报,1995,16(1):70-80. 被引量:2
  • 2包太兹.米列斯库著,李世蛙译.轴测投影理论与应用[M].北京:机械工业出版社,1988.
  • 3格拉祖诺夫,切特维鲁著,徐良佐等译.新轴测投影学[M].(第2版).北京:人民教育出版社,1981.
  • 4YAN IU. The new method of reading views and making axonometric drawing of composite solids[C]//Proceedings 8th China-Japan Joint Conferences on Graphics Education, Beijing : Beijing Institute of Technology Press, 2007:86-89.
  • 5ZHANG Yun-fei. New concept on training projective drawing[C]// Proceedings 8th China-Japan Joint Conferences on Graphics Education, Beijing :Beijing Institute of Technology Press, 2007:26-31.
  • 6ZHANG Yun-fei. A computer aided solution for descriptive geometry[C]//Proceedings of the l lth Intemational Conference on Geometry and Graphics, Russia, Moscow : Moscow State University of Technology, 2004:379-384.
  • 7YAN IU. The new method of reading views and making axonometric drawing of composite solids[C]// Proceedings 8th China-Japan Joint Conferences on Graphics Education. Beijing: Beijing Institute of Technology Press, 2007: 86-89.
  • 8Zhang Ytm-fei. New concept on training projective drawing[C]//Proceedings 8th China-Japan Joint Conferences on Graphics Education. Beijing: Beijing Institute of Technology Press, 2007:26-31.
  • 9Zhang Yun-fei. A computer aided solution for descriptive geometry[C]//Proceedings of the 11th International Conference on Geometry and Graphics. Russia, Moscow: Moscow State University of Technology, 2004: 379-384.
  • 10唐人卫.轴测投影的基本公式及其应用[J].东南大学学报(自然科学版),2001,31(3):124-127. 被引量:2

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