| USING MEASURING METHOD TO FIND AREA OF ENCLOSED PLANE REGION AND VOLUME OF ENCLOSED SPACE REGION |
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| 作者姓名： | 叶一民 叶永坚 高庆狮 张祥 |
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| 作者单位： | Institute of Computing Technology，Academia Sinica，Beijing 100080，PRC，Huazhong University of Science and Technology，Wuhan 430074，PRC，Institute of Computing Technology，Academia Sinica，Beijing 100080，PRC，Institute of Computing Technology，Academia Sinica，Beijing 100080，PRC |
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| 摘 要： | Two simple methods to calculate the area and volume called improved square gridmethod and cube cutting method are proposed in this paper. For any plane curve orspace surface satisfying certain conditions, by our method, the error of measurement isof the second infinitive order of measuring unit (the side length of the square grid or theside length of the little cube) when the unit is small enough. And when some properties ofthe curve or the surface can be found or its varying bounds can be evaluated, it is pointedout, in order to make the error smaller than any given value, how small the length of themeasuring unit should be.
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USING MEASURING METHOD TO FIND AREA OF ENCLOSED PLANE REGION AND VOLUME OF ENCLOSED SPACE REGION |
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| YE YI-MIN,YE YONG-JIAN,GAO QING-SHI,ZHANG XIANG Institute of Computing Technology,Academia Sinica,Beijing ,PRC
Huazhong University of Science and Technology,Wuhan ,PRC..USING MEASURING METHOD TO FIND AREA OF ENCLOSED PLANE REGION AND VOLUME OF ENCLOSED SPACE REGION[J].Science in China(Chemistry),1992(10). |
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| Authors: | YE YI-MIN YE YONG-JIAN GAO QING-SHI ZHANG XIANG Institute of Computing Technology Academia Sinica Beijing PRC
Huazhong University of Science and Technology Wuhan PRC |
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| Institution: | YE YI-MIN,YE YONG-JIAN,GAO QING-SHI,ZHANG XIANG Institute of Computing Technology,Academia Sinica,Beijing 100080,PRC
Huazhong University of Science and Technology,Wuhan 430074,PRC. |
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| Abstract: | Two simple methods to calculate the area and volume called improved square grid
method and cube cutting method are proposed in this paper. For any plane curve or
space surface satisfying certain conditions, by our method, the error of measurement is
of the second infinitive order of measuring unit (the side length of the square grid or the
side length of the little cube) when the unit is small enough. And when some properties of
the curve or the surface can be found or its varying bounds can be evaluated, it is pointed
out, in order to make the error smaller than any given value, how small the length of the
measuring unit should be. |
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| Keywords: | error approximate calculation area value |
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