| 等角圆锥螺旋线的形成原理及投影图的绘制方法 |
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| 引用本文： | 夏鼎立.等角圆锥螺旋线的形成原理及投影图的绘制方法[J].合肥工业大学学报(自然科学版),1990(3). |
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| 作者姓名： | 夏鼎立 |
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| 摘 要： | 本文用微分几何理论研究等角圆锥螺旋线的形成原理及表达式,用正投影原理研究它的图示、图解方法,并得出结论:等角圆锥螺旋线的水平投影是对数螺线,其方程为ρ=ne~(mt)。本法只需计算曲线上的一个点,即可用几何作图方法把它的三面投影绘制出来。此方法简单、方便、准确。把它用于工程设计上,亦能满足设计的精度要求。
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| 关 键 词： | 等角圆锥螺旋线 定倾曲线 对数螺线 水平投影 几何作图 |
THE GENERTION PRINCIPLE OF THE EQUIANGULAR CONIC HELIX AND THE DRAWING OF ITS PROTECTIVE VIEW |
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| Xia Dingli.THE GENERTION PRINCIPLE OF THE EQUIANGULAR CONIC HELIX AND THE DRAWING OF ITS PROTECTIVE VIEW[J].Journal of Hefei University of Technology(Natural Science),1990(3). |
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| Authors: | Xia Dingli |
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| Abstract: | The paper, according to the theory of differentia] geometry, deals with the principle of generating the equiangular con'c helix and its mathematical representative. Based on the principle of orthographic projection, the diagrammatical presentation and diagram method were discussed in the paper. A conclusion has been drawn from the deduction that horiziontal projection of the equiangular conic helix is a logarithmic spiral. It's equation is p = nemt.From the result gaind in this paper it becomes very easy to draw the projective view of the equiangular conic helix. |
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| Keywords: | equiangular conic helix curve of constant inclination Jogrithmic spiral hxorizontal plane geometric construction |
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