中国人成年男性下颌牙槽弓的形态观测及其几何图形的数学显示公式

A STUDY OF THE INFERIOR ALVEOLAR ARCH IN CHINESE MALE ADULTS WITH SPECIAL REFERENCE TO ITS GEOMETRICAL CONFIGURATION DEDUCED BY A POLYNOMIAL CURVILINEAR REGRESSION EQUATION

本文对200例中国人成年男性下颌牙槽弓若干测点间距进行了测量,并对其形状做了目测分类。认为下颌牙槽弓的形状可用尖牙槽间弧弦指数区分,大于或小于指数95即能分出方圆型或尖圆型;本实验根据测量描绘出下颌牙槽弓的几何图形,用计算几何方法求得左外、左内、右外、右内四个半弓的一元八次方程,并作了检验,误差在0.001cm以下、相关系数在0.999以上;根据方程,算出中国人成年男性下颌牙槽弓平均截面积为12.15cm^(2)。

The results of morphological observations and measurements of 200 Chinese male adult mandibular alveolar arches are as follows:1.The average measuremants of the mandibular arch depth and arch breadth are 4.62 cm and 5.03 cm respectively.2.The shape of the arch can be either square or pointed depending upon whether the value of the arch/chord index is greater or smaller than 95.3.There are four curved line equations for left-external,left internal,right-external and right-internal half arches computed from the plotted geometrical configuration.All errors are less than 0.001 cm,while the coefficients of co-relation are greater than 0.999.This proves that the result of this research work is success-ful.4.The total area of the alveolar region of Chinese adult male mandibles is 12.15 cm~2 in average.