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範例 07：直接了解球的表面積 |
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如何直接求得球的表面積呢？ |
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《 解答 》 |
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把球用柱面卡好
在垂直軸上作兩個水平面，相距甚小
當它投影到柱面時，面積變成  倍
其中θ是弦切角，但是注意到相關的半徑γ
與柱的半徑R之比值是 ，因此互相抵消，所以球面的表面積就會等於高
2R，半徑R的柱面面積，亦即 
。 |
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About This
document |
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This document was
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Copyright © 1997, 1998, 1999, Ross
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The command line arguments were:
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The translation was initiated by Shu Cheng-chou
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