| 平面摆线与球面摆线的几何性质 |
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| 引用本文： | 刘詠珍.平面摆线与球面摆线的几何性质[J].湖南科技大学学报(自然科学版),1994(2). |
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| 作者姓名： | 刘詠珍 |
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| 摘 要： | 摆线是重要的平面曲线，它有许多重要性质。摆线、内摆线和外摆线是平面摆线，它们只是球面摆线的特殊情况。本文证明了摆线的三个几何性质对内摆线和外摆线仅部分成立，对球面摆线却一个也不成立。本文还导出了球面摆线的弧长表达式。图４，参３。
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| 关 键 词： | 摆线 平面摆线 球面摆线 几何性质 |
GEOMETRICAL PROPERTIES OF PLANAR CYCLOID AND SPHERICAL CYCLOID |
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| Liu Yong zhen.GEOMETRICAL PROPERTIES OF PLANAR CYCLOID AND SPHERICAL CYCLOID[J].Journal of Hunan University of Science & Technology(Natural Science Editon),1994(2). |
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| Authors: | Liu Yong zhen |
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| Institution: | Attached Middle School |
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| Abstract: | Cycloid is an important plane curve. It has a lot of properties,Cycloid,hypocycloid and epicycloid are plane curves .They are only the special examples of ophericslcycloid,This article proves that three geometrical properties of cycloid are partly applied to the hypocycloid and epicycloid, but none of them is applito to the spherical cycloid,The expression of the length of arc for sphentalcydoid is also derived from the article.4figs.,3refs. |
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| Keywords: | cycloid planar cycloid spherical cycloid geometrical property |
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