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Abstract:
Based on the theory of MONGE descriptive geometry, the paper aims at
the complexity of three dimension space angles, be analyzing and
inducing of tarries space relations, according to the common features of
its forming environment, the three dimension space angles are
scientifically divided into three types , essential type, line-plane
type and line-line type. According to the feature of varies types, makes
the concerned theory complementally and perfect. By using the concept of
“Walk-direction” of single element, establishes the geometry model of
line-plane type “Plane area-sharing law (Walk direction law)” and
line-line type “Walk-direction associative law”. The paper
comprehensively reveals the intrinste law of space angle calculation,
derives the common function expressions which use two dimension method,
and calculation software is programmed also. The practice of large
quantities of static calculation and dynamic analyze, optimization
proves that the established model has the compatibility to the existing
theory and methods, and also has the features of high calculation speed,
high accuracy.
Key words:
Space angle Automatic calculation
河南省1990年自然科学基金资助项目. Received 19910129,
received in revised form 19911204
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