摘要
本文在简要回顾了现有的面积计算公式以后,给出一个按不等间隔量测支距、以三次抛物线逐段模拟边界曲线计算不规则平面图形面积的一个新公式。此公式适用于图形边界弯曲变化较频繁或量测支距困难或不经济的情况,且计算精度较高,作为算例,分别用新公式和其它公式以同样数量的支距计算了4个图形的面积并进行了对比,最后,对各个公式的适用范围和精度作了评述。
Current area formula am reviewed, and a new formula for calculating the area of irregular figures with unequal intervals is derived from modelling gradually their boundary curve with a cubic parapola The areas of four figures, as examples, are calculated by the various formulae, respectively, with the same number of offsets. A comparison of the calculation results is carried out, which shows that the new formula is applicable to such irregular regions whose boundary curvities are varied frequently and that measuring some offsets is difficult or expensive. Finaly, the usability and accuracies of the particular formulae are remarked.
出处
《江汉石油学院学报》
CSCD
北大核心
1989年第4期83-88,共6页
Journal of Jianghan Petroleum Institute
关键词
建筑
图形
面积
边界曲线
支距
arca
figures
equal interval
curve boundry
offset
analytical calculation
surveying
